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Open Access Article
1 - One-dimensional Fibonacci fractal photonic crystals and their optical characteristics
Mehdi Tavakoli Yousef Seyed Jalili -
Open Access Article
2 - Surface coupling effects on contact mechanics: contact area and interfacial separation between an elastic solid and a hard substrate with randomly rough, self-affine fractal surfaces
M. Feshanjerdi A. A. Masoudi M. Khorrami -
Open Access Article
3 - Urban Carpet, the Introduction of Folding Urbanism
Siamak Panahi Seyyed Mostafa Mokhtabad Amraey Arsalan Karimi Khiavi This study has concentrated on the role of folding on urbanism and introduced the "urban carpet" as the introduction of folding urbanism. Folding philosophy is derived from Deleuze theories in rhizome and anti-oedipus based on Leibniz’s mathematics. This th More This study has concentrated on the role of folding on urbanism and introduced the "urban carpet" as the introduction of folding urbanism. Folding philosophy is derived from Deleuze theories in rhizome and anti-oedipus based on Leibniz’s mathematics. This theory appeared in architecture by Eisenman and later, in the macro-scale and urban design was introduced by Hadid. Today, she presents her manifesto of folding genesis as "urban carpet" that already has determined in landscape design by James Wines. Hadid based on "unity in diversity" philosophy with the complexity of folding mathematics tries to design a city with post-modern feminist literature, so that provide the anti-oedipus city with its own harmonies. This study has made an effort to indicate how architects criticize and use the folding stream in urbanism as they call it "urban carpet" and for this purpose spontaneously, we analyzed some famous works which their base concept was about folding movement. The conclusion of the study is that the "urban carpet" can be the introduction and some referent of folding urbanism and although, has been successful in creation of harmony in the macro-scale and bird view, but in the human-scale architecture and discourse of the event architecture is not successful. Manuscript profile -
Open Access Article
4 - Visual and Structural Analysis of Fractal Geometry in the Sheikh Lotfollah Mosque Ornaments (Isfahan- Iran)
Hengame Rezazade -
Open Access Article
5 - The generalized variational iteration method to solve the fractal partial differential equations
Homa Afraz Alireza Khalili GolmankhanehFractional calculus is a branch of classical mathematics, which deals with the generalization of fractional order derivative and integral operator. Recently, a great deal of research has been carried out on the fractional calculus to study the phenomena associated with MoreFractional calculus is a branch of classical mathematics, which deals with the generalization of fractional order derivative and integral operator. Recently, a great deal of research has been carried out on the fractional calculus to study the phenomena associated with fractal structures and processes. Fractals have a fractional dimension and occur naturally in non-linear and imbalanced phenomena in various forms and contexts. In recent years, various types of derivatives and fractional and fractal calculus have been proposed by many scientists and have been extensively utilized. Measurements are localized in physical processes, and local fractional calculus is a useful tool for solving some type of physical and engineering problems. Gangal studied the local fractional calculus and got the relation between it and the fractals. Using the local fractional calculus and fractal properties, he defined the fractal-alpha calculus on a subset of the real line, which is a simple calculs, useful, structural and algorithmic. In this study, we first describe the fractal-F alpha calculus. Next, we propose The generalized variational iteration method based on the fractal calculus. To show the efficiency of fractal calculus and the new method, we solve several fractal partial differential equations with this method and show that this method is better, easier and more suitable than the two other methods mention the above. Manuscript profile -
Open Access Article
6 - Forecasting the Price of Natural Gas Using Developed Methods Based on Grays and Fractals
Saeed Emami Koupaee Shiva Zamani A. Reza Heidarzadeh Hanzaee M. Reza ShahnazariThe importance of predicting the price of energy carriers for the development of the economy and industry today is not overlooked. Meanwhile, predicting natural gas prices as one of the most important carriers of energy and an important role in providing clean energy ca MoreThe importance of predicting the price of energy carriers for the development of the economy and industry today is not overlooked. Meanwhile, predicting natural gas prices as one of the most important carriers of energy and an important role in providing clean energy can be considered as an important tool in industrial development decision making. In this paper, we have investigated the nonlinear behavior of natural gas prices in a multi-year period, as well we have introduced methods for the development and synthesis of fractalization (FDGM) has been used to predict the price of natural gas. The results of the price forecast based on the introduced methods, Indicates the effectiveness of these methods. At the same time, given the fractal nature of the price of natural gas in the period under review, the results show that the forecast error using the FDGM method is always below 7%. And very good results were obtained using combination fractional and fractional methods. Manuscript profile -
Open Access Article
7 - Evaluating and study of the Fractal Properties of Capital Markets Based on DE trended Fluctuation Analysis (Case Study: Exchange Market and Stock Index of Tehran)
Arash Azaryoun narges yazdanian seyedalireza mirarab baygi hoda hemmatiIn this study, the long-term memory of the stock market index and exchange rate (dollar) was estimated using detrended fluctuation analysis. In order to detrend the data, the GARCH approach was proposed and the long-term memory estimation model was implemented separatel MoreIn this study, the long-term memory of the stock market index and exchange rate (dollar) was estimated using detrended fluctuation analysis. In order to detrend the data, the GARCH approach was proposed and the long-term memory estimation model was implemented separately for both conventional and GARCH methods. For this purpose, daily data of stock market index and dollar exchange rate in the market during the years 2014 to 2020 were used. The results showed that the conventional method in calculating the detrended fluctuations is not able to estimate the long-term memory of the exchange rate, while the results for the stock index showed the existence of short-term memory. The results showed that the proposed method in detrending data and calculating detrended fluctuations based on Garch model has a higher power in controlling changes in market fluctuations and according to the findings of this method, stock index and dollar exchange rate have long-term memory. The results showed that these two methods provide significantly different estimates of long-term memory of the market and according to the results of the correlation test between the values of long-term memory of data and the value of parameter q in detrended fluctuation analysis; it was observed that the stock market index and exchange rate in Iran have multifractal properties. Manuscript profile -
Open Access Article
8 - Investigation of Multifractaly Models in Finance
Fraydoon R. Roodposhti Mahdeyeh Klantari DehaghiSpecifying the governing process of stock market’s return with the goal of making optimal decisions and reducing the risk cost has a great importance for investors and policy makers. The importance of market analysis on one hand and the effort for comprehending th MoreSpecifying the governing process of stock market’s return with the goal of making optimal decisions and reducing the risk cost has a great importance for investors and policy makers. The importance of market analysis on one hand and the effort for comprehending the markets on the other hand resulted in that, after the assumptions of efficient market were challenged and universal financial facts such as “fat tails” and “volatility clustering” were discovered, analysts leaned toward multifractaly and Lévy models and moved away from models with random characteristics and normal distribution. This caused multifractal models to be used in different segments of the market. In this article the multifractal approach that in recent years has been used for forecasting and modeling volatility, will be examined. In the beginning the origin of this approach that stems from turbulent flows in statistic physic will be introduced and in the following sections the details about the specifications and features of multifractal time series models, available approaches for estimating them and empirical uses of this model will be mentioned. The results of this research show that the dynamic nature of capital market has caused the approaches, methods and models of market analysis to be permanently changing. In addition, for volatility clustering of time series, smaller scales are considered. Manuscript profile -
Open Access Article
9 - Using multi-fractal method in ranking portfolio efficiency
Mahnaz Doosti Morteza RahmaniInvestors around the world are always looking for safe investments in the capital markets of countries or the stocks of their companies. Therefore, finding a practical and scientific way to identify the best investment opportunity will have a very positive impact on the MoreInvestors around the world are always looking for safe investments in the capital markets of countries or the stocks of their companies. Therefore, finding a practical and scientific way to identify the best investment opportunity will have a very positive impact on the choice of an investor. An efficient stock is a stock whose price information is reflected in the market and the use of past stock prices over a period of time to analyze future trends and fluctuations in stocks leads to correct and citationable results. In this study, assuming poor performance, a stock portfolio consisting of 11 shares accepted in the Iranian capital market has been examined. In the sense that through the stock price information from 95 to 99 years, the trend and intensity of fluctuations have been examined. Because the liquidity of stocks has increased and it will be safe to invest. The results of this research using multi-fractal method show more detailed details of the efficient stock ranking steps in a portfolio. Manuscript profile -
Open Access Article
10 - A model for modified electrode with carbon nanotube composites using percolation theory in fractal space
H. Baheri H. Aghaie -
Open Access Article
11 - Relationship between fractal dimensions of stream and morphometric characteristics of basin for the soil conservation
sepideh mofidi Abolfazl Moeini Ali Torkashvand Ebrahim Pazira Hassan AhmadiBackground and Aim: River behavior is affected by two categories of natural, and human factors. Natural factors such as floods, soil erosion, mass movement and human factors such as facility construction, land-use change, and sand removal from the bed, play a key role i MoreBackground and Aim: River behavior is affected by two categories of natural, and human factors. Natural factors such as floods, soil erosion, mass movement and human factors such as facility construction, land-use change, and sand removal from the bed, play a key role in the behavior and intensification of river changes. The serious and irreparable dangers that may be posed by river movements and changes indicate the need to study its morphology in the study phase before any action is taken. The network of streams continuously changes its location based on time, environmental factors and human interventions. It is very important to study the stream changes to provide the should be omitted management solutions for the should be omitted soil conservation. One of the new methods in this regard is to use the should be omitted fractal geometry. The purpose of this study was to calculate the fractal dimensions of the stream and to investigate its relationship with the morphometric characteristics of the basinMethod: To do this, a should be added topographic map of the should be added basin in Firouzkouh, Tehran province was prepared. The map of the streams was prepared and the morphometric characteristics of the basin were determined by using the ARC GIS 10.3 software. Then, three fractal dimensions of the should be added drainage network (stream branch), drainage density, and basin area were calculated. Finally, the morphometric characteristics of the basin associated with the fractal dimensions were investigated by entering the data obtained from the calculations in the SPSS 18 and Curve Expert software Results: The results showed that the minimum and maximum fractal dimensions of the bifurcation ratio were 0.25 and 2.99, of should be omitted the drainage density was 0.19 and 2.34, and of should be omitted the area was 0.76 and 2.60. The fractal dimension of the should be added, the should be added dimension of drainage density, and the should be added fractal dimension of the should be added total area of the basin were 1.84, 0.71, and 1.46, respectively. The fractal dimension of the should be added ratio and the sub-basin area were inversely related with the determination coefficient of 0.90, and the fractal dimension of drainage density and the area and the fractal dimension of an should be added area with the sub-basin area was directly related with the determination coefficients of 0.88, and 0.87, respectively. The more elongated the basin and the lower the form, roundness, and elongation factors, the smaller the bifurcation dimension. the fractal dimension of the area is directly related to the compactness factor, elongation factor, form factor, bifurcation ratio, equivalent rectangle width, and equivalent rectangular length, and is inversely related to other variables. Based on the results, the more elongated the basin and the smaller the form, and elongation factors, the lower the area dimension. The fractal dimension of drainage density is directly associated with the circularity factor, compactness factor, elongation factor, form factor, area ratio, bifurcation ratio, equivalent rectangle width and equivalent rectangular length, and is inversely associated with other variables. Therefore, as the basin becomes more circular, the fractal dimension of the drainage density is increased. Therefore, the fractal dimension of drainage density is increased then as the basin becomes more roundedConclusion: According to the coefficient of explanation of the obtained models for the relationship between fractal dimensions, and morphometric properties, the studied fractal dimensions can be easily calculated and analyzed using morphometric properties. Due to the importance of stream characteristics in the management of watersheds in terms of flood, erosion, and soil conservation, the fractal models can be used to make quick and accurate decisions for the should be omitted management. Finally, considering that the use of fractal geometry is a new method in studying the characteristics of waterway networks, it is suggested that basins be analyzed fractally in different regions with different morphometric conditions. Manuscript profile -
Open Access Article
12 - Evaluating the efficiency of fractal models in estimating soil hydraulic parameters and the relationship between moisture curvature fractal dimension with these parameters
Shiva Mohammadian khorasani Mehdi Homaee Ebrahim PaziraSoil and water relations are so complex that the most advanced mathematical models can hardly be able to simulate them accurately. Retention curve and unsaturated hydraulic conductivity are among the most important factors in the study of water flow in the soil. Because MoreSoil and water relations are so complex that the most advanced mathematical models can hardly be able to simulate them accurately. Retention curve and unsaturated hydraulic conductivity are among the most important factors in the study of water flow in the soil. Because the high variability and soil complexity, obtaining soil hydraulic properties directly is difficult, time consuming and costly and therefore it is necessary to estimate indirect methods. The purpose of this study was to determine the fractal dimension of soil moisture curve using fractal models and to investigate the relationship between the moisture curvature fractal dimension with hydraulic parameters, clay, silt and sandy percent in a wide area. For this purpose, some soil samples collected from different tissues from the regions of the country were collected and the variables of particle size, bulk density, organic carbon, salinity, pH and moisture content were measured in different suction. Finally, the parameters of the van Genuchten model as well as models Tyler-Wheatcraft and Rieu-Sposito fractals were calculated for soil particle size distribution. The results showed that van Genuchten model parameters have fractal behavior and can be quantified by using fractal models. The results also showed that the higher the amount of sand in the soil, the fractal decreases, but the clay content has a direct linear relationship with the Tyler-Wheatcraft fractal dimension. This means that by increasing the amount of clay in the studied soils, the fractional dimension of the Tyler-Wheatcraft (Dm) model also increases and with the increase in the amount of sand, the fractal dimension of the Tyler-Wheatcraft (Dm) model decreases. Manuscript profile -
Open Access Article
13 - Using fractal models for quantifying soil structure and comparison with classical methods
sepideh mofidi مهناز اسکندری ابراهیم پذیرا مهدی هماییSoil structure is of great importance from both crop production and water resources management point of views. Since soil structure is often expressed qualitatively, the so-called fractal geometry, as a novel method, can be used to describe the soil structure in a quant MoreSoil structure is of great importance from both crop production and water resources management point of views. Since soil structure is often expressed qualitatively, the so-called fractal geometry, as a novel method, can be used to describe the soil structure in a quantitative manner. Using fractal concept and its comparison with the classical aggregate stability methods can assist to better understanding of soil structure. This research was aimed to quantitatively assess the soil aggregate stability by using some fractal and classical models. To attain this purpose, a number 30 soil samples were collected from topsoil of an agricultural area. Then, the mean weight diameter MWD and geometric mean diameter GMD of soil samples were determined by using wet and dry sieving method. The fractal dimensions of soil samples were determined for four fractal models including the number-size and mass-size of Rieu and Sposito, number-size of Mandelbrot, and mass-size of Tyler and Wheatcraft. Results indicated that the range of fractal dimensions for mass-size model of Rieu and Sposito in dry condition varies from 2.86 to 2.92 and in wet condition from 2.90 to 2.99., this range for Tyler and Wheatcraft model was 2.52 to 2.78 and 2.24 to 2.55, for dry and wet conditions, respectively. Results further showed that for the number-size model of Rieu and Sposito the fractal dimension varied from 2.77 to 3.59 in the dry and from 2.35 to 3.18 in wet conditions. These ranges for Mandelbrot model were obtained to be 2.89 to 3.72 and 2.21 to 3.22 for the dry and wet sieves, respectively. The largest standard deviation was obtained for MWD, while the lowest belonged to the mass-size model of Rieu and Sposito. The obtained results further indicated that by increasing the fractal dimension, aggregate stability decreases and aggregate instability tend to increase. It can be then concluded that by using fractal dimensions one can more precisely describe the aggregate stability compares to the classical methods. Manuscript profile -
Open Access Article
14 - Investigating Changes in the Intensity of Short-Term Rainfall in the Last Half Century in the Context of Data Scarcity (Case Study: Rasht City)
Mehdi Torabi Alireza ShokoohiBackground and Aim: With the increase in the production of greenhouse gases due to the industrialization of the countries of the world, we are witnessing the occurrence of global warming, which has caused climate changes all over the planet in recent years. One of the e MoreBackground and Aim: With the increase in the production of greenhouse gases due to the industrialization of the countries of the world, we are witnessing the occurrence of global warming, which has caused climate changes all over the planet in recent years. One of the effects of this phenomenon is the change in the behavior of weather parameters such as temperature and precipitation. The effects of climate change phenomenon on precipitation have led to changes in the intensity of precipitation and finally changes in intensity-duration-frequency (IDF) curves of precipitation for different regions of the world and country. Therefore, updating the intensity-duration-frequency (IDF) curves is necessary because of their importance in the design of hydraulic structures used in urban flood management. One of the problems of producing intensity-duration-frequency (IDF) curves is the lack of access to rainfall data with different continuities. The purpose of this research is to use the fractal method to obtain precipitation with different continuities and then evaluate the effect of climate change on the intensity of precipitation in Rasht City. .Method: In this research, the accuracy of the fractal method for generating intensity-duration-frequency curves is first evaluated. Then intensity-duration-abundance curves are produced by using fractal theory and by determining the effect of climate change on rainfall intensity by TREND software, two periods before and after climate change are evaluated and compared.Results: In this research, the validation of the Fractal method shows that the IDF curve production for Rasht city using the Fractal method compared to the IDF curve production using observational data has about a three percent difference. Therefore, this method was used to generate IDF curves for the years when rainfall data with less than three hours of duration was not available. The evaluation of IDF curves with TREND software on the rainfall intensity for different durations demonstrates that the rainfall intensity jump occurred in 2003 towards becoming more intense due to the effect of climate change. For example, for 10 minutes with a return period of 100 years before the effect of climate change, the intensity of rainfall is 158 (mm/h) and after the effect of climate change, the intensity of rainfall is 225 (mm/h). Also, the results showed that the period of short returns has changed more than the period of large returns, that is, the 2-year return period has increased by about 70% and the 100-year return period has increased by about 40%.Conclusion: In this research, by evaluating the fractal method, it was determined that if there is no access to rainfall data with different durations, the fractal method is a suitable method for generating different rainfall durations and generating IDF curves with acceptable accuracy. be Also, the results showed that the jump of intensity-duration-frequency curves occurred under the effect of climate change in 2003, and in the period of climate change, compared to the period before climate change, the intensity of rainfall moved towards more intense rainfall, and this event occurred in the period Short-term returns show a greater increase. Manuscript profile -
Open Access Article
15 - Evaluating soil aggregate stability using classical methods and fractal models
Shiva Mohammadian Khorasani Mehdi Homaee Ebrahim PaziraSoil structure is an important indicator for optimal management of soil and water resources. Because it directly influencing several physical characteristics of soils such as soil water status, hydraulic conductivity, heat and air contents, soil porosity and bulk densit MoreSoil structure is an important indicator for optimal management of soil and water resources. Because it directly influencing several physical characteristics of soils such as soil water status, hydraulic conductivity, heat and air contents, soil porosity and bulk density. However, due to complexity of soil structure, its quantitative description is rather difficult. One of the relatively new methods proposed to explain soil structure in a quantitative manner is the so-called fractal geometry concept. In this concept, by determining the fractal dimension of bulk soil, the stability of aggregates can be quantitatively analyzed at different scales. The objective of this study was to quantify soil structure stability using some classic indicators and fractal approach in a large scale. Consequently, 41 intact soil samples were taken from an agricultural area and their particle size distribution, soil bulk density and aggregate bulk density, were measured. The weighted mean diameter and geometric mean diameter of both dry and wet aggregates were measured using dry and wet sieving method. The fractal dimensions of all dry and wet aggregates were obtained using fractal models of Mandelbrot, Tyler-Wheatcraft and Rieu-Sposito. The results indicated that fractal dimensions of the number-size model of Mandelbrot for dry sieve series and the number-size model of Rieu-Sposito in the wet sieve series perform quite well. These two models could also provide reasonable agreement with classical geometric mean and weighted mean diameters of aggregates. Manuscript profile -
Open Access Article
16 - Comparison of Fractal Geometry and Kriging Methods to Estimate the Effect of Length Scale on Dispersivity of Reactive Elements in Soil
Yasser Hosseini Behrouz Mehdi nejadianiBackground and Objectives: Hydrodynamic dispersion rate of solutes in soil is considered as the major parameter for pollution and solutes transport in soil, which is related to pollutant transport distance. As fractal geometry theory and geostatistical theory are capabl MoreBackground and Objectives: Hydrodynamic dispersion rate of solutes in soil is considered as the major parameter for pollution and solutes transport in soil, which is related to pollutant transport distance. As fractal geometry theory and geostatistical theory are capable of explaining and predicting the distance-related phenomena, this research used fractal geometry and geostatistics method for determining dispersivity. Methods: Solutes transport experiment was carried out at 16 points of soil vertical column with a diameter of 10 centimeters and a length of 1 meter and BTCs were extracted at the depth of 6, 12, 18, 24, 30, 36, 42, 54, 48, 60, 66, 72, 78, 90, 84, 96 centimeters from the model bottom. CDE equation was then fitted with the BTCs with respect to the fractal assumptions on dispersivity coefficients. Findings: With respect to phosphorus absorption experiments in soil, phosphorus adsorption isotherm had the best fitting at 4, 12, 25, 50, 70 mg/l of phosphorus concentrations. The results showed that both methods are capable of predicting changes and increase of dispersivity coefficient in soil column after performing a mean-comparison test. However, fractal geometry method estimated values at a higher accuracy. Discussion and Conclusion: Result showed that, dispersivity along the sample followed the exponential relation. The regression coefficients of the fractal and geostatistical models in predicting dispersivity values were 0.97 and 0.84, respectively. Manuscript profile -
Open Access Article
17 - The difference between dimensions fractal and Fractal random walks of return index and future fall risk and systematic risk in Tehran Stock Exchange
Amir hosein Abdolmaleki mohsen hamidian ali baghaniFinancial markets can be evaluated as dynamic nonlinear systems that consider the interactions of factors in the process of immediate information analysis. Investors with different time horizons in the market may use this information differently. Thus, the financial mar MoreFinancial markets can be evaluated as dynamic nonlinear systems that consider the interactions of factors in the process of immediate information analysis. Investors with different time horizons in the market may use this information differently. Thus, the financial market has a fractal structure in relation to investment time horizons. This research is of applied type and of post-event type; the method research is applicable and run based on past information. The statistical population of the study includes all companies listed in the Iranian capital market during the period 2008-2018. In this study, after calculating the fractal dimension of the experimental group using ARFIMA model and the fractal dimension and simulated Fractal random walks group using RUN test, the difference between these two dimensions in price index, return, future fall risk and systematic risk is investigated. Data analysis was performed in both 5-year and 10-year intervals using EVIEWS and SPSS software and the results indicate that the difference between dimensions fractal and f simulated Fractal random walks of the return index and the risk of future and systematic stock falls in short-term intervals means and is not significant in the long-term Manuscript profile -
Open Access Article
18 - compare time series stock markets and bit coin and effect markets returns with fractal approach
zahra nasire bonyad abad fatemeh samadiAt the article, the timing of the stock and futures markets and its impact on the returns of the markets using a fractal approach.Statistical analysis of the robust, unbiased statistical analysis of the return-to-full-year and full-market returns in market 4 is performe MoreAt the article, the timing of the stock and futures markets and its impact on the returns of the markets using a fractal approach.Statistical analysis of the robust, unbiased statistical analysis of the return-to-full-year and full-market returns in market 4 is performed.juan Hovanovski There is. Has been reviewed. Based on the results of the two cycles of 1397-1979, a strong market and a raw market in the time horizon.It also has a maximum of 2 times the sum of the diagram is equal to the sharp point that it has. The fluctuating amount of money also comes to a heedThe high-speed stock exchange with my fluctuations has a more vivid look at the fluctuations of the fluctuations.The value of the fluctuations in the fluctuations in the fluctuations in the fluctuations of the fluctuations in the fluctuations. Manuscript profile -
Open Access Article
19 - Testing the Fractal Market Hypothesis with the Markov Regime Change Model: A Possible Combination and Convergence
Yaghoub Mahmoudi Shadi Shahverdiani Hamid Reza Kordlouei Mahdi MadanchizajThe importance of predicting and knowing the future in order to plan and formulate economic strategies is not hidden from anyone. The accuracy of forecasts is one of the most important factors in choosing the type of forecasting method. The stock price index is one of t MoreThe importance of predicting and knowing the future in order to plan and formulate economic strategies is not hidden from anyone. The accuracy of forecasts is one of the most important factors in choosing the type of forecasting method. The stock price index is one of the effective variables in economic systems that these very complex time series are usually assumed to be random and as a result their changes are assumed to be unpredictable. Such time series variables have the property that the shock to the variable takes a long time to disappear due to the possibility of long-term memory. The aim of the present study was to test the fractal market hypothesis with the Markov regime change model with a possible combination and convergence in the Tehran Stock Exchange. In this paper, the amount of long-term memory and stability of financial time series resulting from the total stock market index for the period 1388-1386 were examined. For this purpose, first the existence of long-term memory was examined, then the fractal nature of the market was examined using the Harst view index. The results indicate the existence of long-term memory in this variable. In this case, with one differentiation, it becomes more differentiated, so the stock price index series in Iran has long-term memory and the effects of each shock on this variable due to its long-term memory remain for long periods. It stays. The results also showed that the overall stock market index is fractal. Manuscript profile -
Open Access Article
20 - Fractal Analysis of Tehran Stock Exchange Index With RS Method
Fraydoon Rahnamay Roodposhti Parham PedramThis paper deals with this issue, which can be summarized as the conflict between randomness and determinism. On the one hand, there are market analysts who feel that the market is perfectly deterministic; on the other, there is a group who feel that the market is compl MoreThis paper deals with this issue, which can be summarized as the conflict between randomness and determinism. On the one hand, there are market analysts who feel that the market is perfectly deterministic; on the other, there is a group who feel that the market is completely random. We will see that there is a possibility that both are right to a limited extent. But what comes out of these partial truths is quite different from the outcome either group expects. We will use R/S analysis, or rescaled range analysis. R/S analysis can distinguish fractal from other types of time series, revealing the self-similar statistical structure. This structure fits a theory of market structure called the Fractal Market Hypothesis.. This reconciliation ties directly into the concept of local randomness and global determinism. One of the most important area that we focun on is capital market distributions. capital markets are not well described by the normal distribution and random walk theory. Yet, the Efficient Market Hypothesis continues to the dominant paradigm for how the markets work. Standard statistical analysis begins by assuming that the system under study is primarily random; that is, the causal process that created the time series has many component parts, or degrees of freedom, and the interaction of those components is so complex that a deterministic explanation is not possible. Only probabilities can help us understand and take advantage of the process. The underlying philosophy implies that randomness and determinism cannot coexist. Manuscript profile -
Open Access Article
21 - Empirical analysis of fractal dimensions on cash return and price indices of listed companies of Tehran Stock Exchange
Shokrollah Khajavi Hadi Abdi Taleb BeigiThe goal of this research is to empirical analyzing fractal dimensions on cash return and price indices of listed companies of Tehran Stock Exchange. To have access to this goal, cash return and price indices of Tehran Stock Exchange were studied. Statistical sample of MoreThe goal of this research is to empirical analyzing fractal dimensions on cash return and price indices of listed companies of Tehran Stock Exchange. To have access to this goal, cash return and price indices of Tehran Stock Exchange were studied. Statistical sample of research includes cash return and price indices during period 1382 to 1391. Using R/S analysis and Hurst exponent, this research surveys the cash return and price time series being stochastic. To study the stochastic time series and differentiating from time series are not stochastic, R/S analysis is used as an efficient nonlinear method. Distribution type disrelation is the most important advantage of R/S analysis. Results of research show that, cash return and price indices time series are not stochastic and have a long-memory. Manuscript profile -
Open Access Article
22 - Apply a correction plan to the domain pond to increase the speed and improve the fractal compression quality of the image
Jaleh Molaei Zahedi Hamid Dehghani Alireza MalahzadehHere we present a correction domain pond design for fractal image compression. The plan modifies the domain pool for each block of the board, based on the position of that board. So a more efficient and smaller domain library is created for each page. This method reduce MoreHere we present a correction domain pond design for fractal image compression. The plan modifies the domain pool for each block of the board, based on the position of that board. So a more efficient and smaller domain library is created for each page. This method reduces the computational load and reduces the bits required to store the domain position. The results of various experiments on standard images show that this method has a much lower degree of distortion and a much lower computational load. Manuscript profile -
Open Access Article
23 - Design and simulation of a wired antenna with a new structure and compare it with a conventional unipolar antenna of equal length
Firooz Mohsenifard Ebrahim Abiri Jahromi Abbas Fazel ZakeriIn this paper, a wired antenna with a new structure for the central frequency of 15 MHz is designed and simulated. In addition to being shorter than the wavelength, this antenna has a high radiant resistance and low imaginary resistance compared to a unipolar antenna of MoreIn this paper, a wired antenna with a new structure for the central frequency of 15 MHz is designed and simulated. In addition to being shorter than the wavelength, this antenna has a high radiant resistance and low imaginary resistance compared to a unipolar antenna of equal length. Also, for high efficiency and maximum bandwidth in the frequency range of 10 to 25 MHz, the dimensions of the antenna have been optimized. S-NEC software is used to design and simulate this antenna, which is one of the specialized software in this field. It is also possible to increase the dimensions of the antenna by a certain ratio, for example 1000, and therefore the operating frequency of the antenna decreases by the same ratio, such antennas that work in the VLF band are used for special purposes. Manuscript profile -
Open Access Article
24 - A new method of improving fractal image compression by combining block classification and quadratic tree division
Jaleh Molaye Zahedi Hamid Dehghani Alireza MalahzadehHere, to improve the quality of the reconstructed image, a kind of fractal compression method is proposed, which is based on block classification and quadratic tree segmentation. First, the image is divided by an adaptive quadruple tree method. Sub-blocks are then class MoreHere, to improve the quality of the reconstructed image, a kind of fractal compression method is proposed, which is based on block classification and quadratic tree segmentation. First, the image is divided by an adaptive quadruple tree method. Sub-blocks are then classified at each level. Experimental results show that the image reconstructed and amplified by this method has a higher peak-to-peak signal-to-noise ratio (PSNR) and a better visual effect than the adaptive quadratic splitting method, while the compression ratio Has also increased. Manuscript profile -
Open Access Article
25 - Performance Improvement of Fractal Microstrip Antenna with Metamaterial
Gohar Varamini Mehdi Khatir Mohammad Naser-Moghadasi -
Open Access Article
26 - New Criterion For Fractal Parameter In Financial Time Series
Mehrzad Alijani bahman banimahd Ahmad Yaghobnezhad -
Open Access Article
27 - Multilevel Convergence, Cluster Fluctuations, Price Bubbles and Fractal Structure; an Experimental Investigation by Foundation Factor Simulation
Farzin Axon Seyed Hossein Nasl Mousavi Abbas Ali Pour AghajanAbstract Cluster fluctuations and fractal structures are the two important features of space-time correlation in complex financial systems. However, the microscopic mechanism of creating and expanding these two features in financial markets remains challenging. In the p MoreAbstract Cluster fluctuations and fractal structures are the two important features of space-time correlation in complex financial systems. However, the microscopic mechanism of creating and expanding these two features in financial markets remains challenging. In the present study, using factor-based model design and considering a new interactive mechanism called multilevel convergence, the process of forming cluster fluctuations according to the fractal structure of financial markets is investigated. Virtual agents' trade in different groups according to market performance and their mass behavior is measured at three levels of stock, segment and market. The results, in addition to providing new insights into the space-time correlations of financial markets, show that multilevel convergence is one of the microscopic mechanisms of microstructure of such markets. In other words, multilevel collective behavior is an important factor in the occurrence of cluster fluctuations, price bubbles and market fractals and therefore should be considered in interpreting the concept of risk and defining risk management strategies from this perspective. Manuscript profile -
Open Access Article
28 - Designing a Model to Investigate the Process of Forming Cluster Fluctuations According to the Fractal Structure in Financial Markets
Amin Amini Bashirzadeh Shahrokh Bozorgmehrian Bahareh Banitalebi DehkordiCluster fluctuations and fractal structures are important features of space-time correlation in complex financial systems. However, the microscopic mechanism of creation and expansion of these two features in financial markets remains challenging. In the current researc MoreCluster fluctuations and fractal structures are important features of space-time correlation in complex financial systems. However, the microscopic mechanism of creation and expansion of these two features in financial markets remains challenging. In the current research, by using factor-based model design and considering a new interactive mechanism called multi-level clustering, the formation process of cluster fluctuations was investigated with regard to the fractal structure of financial markets. For this purpose, the daily information of the final price of 150 shares that were accepted in the Tehran Stock Exchange, after the final screening, was entered in 5 sections with 30 shares in each section, in the desired model, and they were aggregated in three stock levels., sector and market were measured. Due to the fact that some investors have a longer investment horizon in the stock market and due to the limitation of the investigated time period, the maximum investment horizon of 1000 days has been determined in the model.In addition, the data studied in the research model are from August 2012 to September 2018. The findings of the research showed that the intensity of the tendency of collec-tive behavior at the sector level is much stronger than at the market level. In addition, based on the findings of the research, it was determined that the distribution of simulation eigenvalues in three levels is significantly similar to the distribution of real data. Also, according to the investor's time horizon, the studied series always has a long-term memory for fluctuations. In addi-tion, it was found that long-term memory is directly related to fractal dimen-sions. The findings of this research, in addition to providing a new insight into the space-time correlations of financial markets, show that multi-level conglomeration is one of the mechanisms for creating the microscopic mi-crostructure of such markets. In other words, multi-level collective behavior is an important factor in the occurrence of cluster and fractal fluctuations in the market, and therefore, it should be considered from this point of view in the interpretation of the concept of risk and the definition of risk manage-ment strategies. Manuscript profile -
Open Access Article
29 - Does Exchange Rate Non-Linear Movements Matter for Analyzing Investment Risk? Evidence from Investing in Iran’s Petrochemical Industry
Alireza Khosrowzadeh Aboutorab Alirezaei Reza Tehrani Gholamreza Hashemzadeh Khourasgani -
Open Access Article
30 - Application of C-A fractal model and exploratory data analysis (EDA) to delineate geochemical anomalies in the: Takab 1:25,000 geochemical sheet, NW Iran
Ahad Nazarpour -
Open Access Article
31 - Resources classification using fractal modelling in Eastern Kahang Cu-Mo porphyry deposit, Central Iran
Amir Bijan Yasrebi Ardashir Hezarkhani -
Open Access Article
32 - Separation of geochemical anomalies by concentration-area and concentration-number methods in the Saqez 1:100,000 sheet, Kurdistan
Fatemeh Zadmehr Seyed Vahid Shahrokhi -
Open Access Article
33 - Detection of metallic prospects using staged factor and fractal analysis in Zouzan region, NE Iran
Hamed Abdoli Sereshgi Alireza Ganji افشین اشجع اردلان Habibollah Torshizian جعفر طاهری -
Open Access Article
34 - Prognosis of of gold mineralization phases by multifractal modeling in the Zehabad epithermal deposit, NW Iran
سمیه شهبازی مجید قادری Peyman Afzal -
Open Access Article
35 - Separating geochemical anomalies by concentration- area, concentration-perimeter and concentration-number fractal models in Qaen region, East of Iran
Mahdi Safari Amir Haji Babaei Ali Daya Mahya Manouchehriniya -
Open Access Article
36 - Geochemical exploration for Li in regional scale utilizing Staged Factor Analysis (SFA) and Spectrum-Area (S-A) fractal model in north central Iran
Farshid Koohzadi Peyman Afzal Davood Jahani Mohsen Pourkermani -
Open Access Article
37 - Identification of Geochemical Distribution of REEs Using Factor Analysis and Concentration-Number (C-N) Fractal Modeling in Granitoids, South of Varcheh 1:100000 Sheet, Central Iran
Davoud Pirdadeh Beyranvand Mohammad Ali Arian Taher Farhadinejad Afshin Ashja Ardalan -
Open Access Article
38 - Delineation of enriched zones of Mo, Cu and Re by concentration-volume fractal model in Nowchun Mo-Cu porphyry deposit, SE Iran
Lili Daneshvar SaeinThe purpose of this study is to identify the enriched zones of Cu, Mo and Re in Nowchun Mo-Cu porphyry deposit (SE Iran) based on subsurface data and using of concentration–volume (C–V) fractal model. The C-V model illustrates four and five geochemical zones MoreThe purpose of this study is to identify the enriched zones of Cu, Mo and Re in Nowchun Mo-Cu porphyry deposit (SE Iran) based on subsurface data and using of concentration–volume (C–V) fractal model. The C-V model illustrates four and five geochemical zones based on Mo and Cu distributions respectively and there are three geochemical populations for Re. The main mineralization for Mo, Cu and Re commence from251 ppm, 0.2% and 2238 ppb respectively, based on the C-V fractal modelling. However, elemental enriched zones contain Mo ≥ 501 ppm, Cu ≥ 0.4% and Re ≥ 4466 ppb. Based on a correlation between results derived via the C-V and geological models, the supergene enrichment zone with Cu≥ 0.4% occurs in very small area of NE part of the Nowchun deposit within chalcocite accumulation. The enriched zones for Mo and Re derived via the C-V model are located in the NE, central and SW parts of the deposit. Mo and Re enriched zones correlate with molybdenite in the deposit. Manuscript profile -
Open Access Article
39 - The effect of estimation methods on multifractal modeling for mineralized zone delineation in the Dardevey iron ore deposit, NE Iran
Peyman Afzal Shahab Shahbeik Parviz Moarefvand Amir Bijan Yasrebi Renguang Zuo Andrew WethereltThe purpose of this study is to identify the effect of Ordinary Kriging (OK) and Inverse Distance Weighted (IDW) estimation methods for the delineation of mineralized zones based on subsurface data using concentration–volume (C–V) multifractal modeling in th MoreThe purpose of this study is to identify the effect of Ordinary Kriging (OK) and Inverse Distance Weighted (IDW) estimation methods for the delineation of mineralized zones based on subsurface data using concentration–volume (C–V) multifractal modeling in the Dardevey iron ore deposit, NE Iran. Variograms and anisotropic ellipsoid were generated for the Fe distribution by the above estimation methods. Continuity of ore and waste, the number of points involved, discretization factor for ore and waste boundaries and block model were generated for reserve estimation purposes. In addition, the C-V log–log plots based on the estimation methods represent the various mineralized zones fromexisting thresholds, and error estimations in both methods were compared. The comparison and interpretation of themineralized zones based on the C–V fractal modeling show that the error is less in the OK method, although the volume of extremely, highly and moderate zones resulting from the OK method is greater than the IDW method. The thresholds considering C-V fractal modeling for extremely, highly, moderately and weakly mineralized zones are 60.37%, 55.27% and 45.66%respectively for the OKmethod and 55.14%, 50.12% and 41.48%respectively for the IDW method. According to the threshold values, the error in the OK methodis less than 20% while the error estimation resulted from the IDW method increases to 60%. Manuscript profile -
Open Access Article
40 - Discrimination of Iron High Potential Zones at the Zaghia Iron Ore Deposit, Bafq, Using Index Overlay GIS Method
Behnam Sadeghi Masoumeh Khalajmasoumi Peyman Afzal Parviz MoarefvandGIS is considered an important technique as well as a prerequisite for cost effective mineral exploration and determination of high potential areas. The purpose of this research is to determine high potential iron zones for detailed exploration using index overlay GIS m MoreGIS is considered an important technique as well as a prerequisite for cost effective mineral exploration and determination of high potential areas. The purpose of this research is to determine high potential iron zones for detailed exploration using index overlay GIS method. Index Overlay was used to combine the geology, topography (scale: 1:1,000), lineaments, remote sensing (ASTER and ETM+) and geochemical data. Appropriate weights were allocated to each layer based on the significance of each data layer. Concentration-area fractal method was applied to data acquired from trenches in order to isolate iron anomalies and add them to the geochemical layer. Evaluation of the information layers along with fractal analysis, differentiated three geochemical iron populations. By combining the information layers obtained from GIS, high potential zones were determined. Regions with codes 1, 2 and 3 are the most promising areas, respectively, and are proposed for more detailed exploration and drilling. Manuscript profile -
Open Access Article
41 - Separation of Geochemical Anomalies Using Factor Analysis and Concentration-Number (C-N) Fractal Modeling Based on Stream Sediments Data in Esfordi 1:100000 Sheet, Central Iran
Peyman Afzal Afshar Zia Zarifi Behnam SadeghiThe aim of this study is separation of Fe2O3, TiO2 and V2O5 anomalies in Esfordi 1:100,000 sheet which is located in Bafq district, Central Iran. The analyzed elements of stream sediment samples taken in the area can be classified into 5 groups (factors) by factor analy MoreThe aim of this study is separation of Fe2O3, TiO2 and V2O5 anomalies in Esfordi 1:100,000 sheet which is located in Bafq district, Central Iran. The analyzed elements of stream sediment samples taken in the area can be classified into 5 groups (factors) by factor analysis. The Concentration–Number (C-N) fractal model was used for delineation of the Fe2O3, TiO2 and V2O5 thresholds. According to the thresholds, the distribution of elemental concentration for Fe2O3 and TiO2 were divided to four lassifications and V2O5 has five geochemical populations in the area. Based on correlation between obtained results with geological and remote sensing data, the results show that the major anomalies of Fe2O3, TiO2 and V2O5 and related factor are mostly situated around granitic/rhyolitic rocks, iron alterations and along faults. Manuscript profile -
Open Access Article
42 - Classification of Coking Coals in C1 Seam of East-Parvadeh Coal Deposit, Central Iran Using Multifractal Modeling
Peyman AfzalThe objective of this study is to identify the most suitable portions of the C1 coking coal seam in the North Block of the East-Parvadeh coal deposit (Central Iran), according to ash and sulfur values, using C-N fractal modeling. Based on the C-N log-log plots, differen MoreThe objective of this study is to identify the most suitable portions of the C1 coking coal seam in the North Block of the East-Parvadeh coal deposit (Central Iran), according to ash and sulfur values, using C-N fractal modeling. Based on the C-N log-log plots, different geochemical populations were evaluated based on their sulfur and ash content. They were then divided into five populations each according to their sulfur and ash percentages. The first sulfur containing population, located in the northern and western sections of the area, contains the best quality coking coal. The sulfur content ranges from 0-1.51%, known as “very low”. Situated primarily in the western and northeastern sections of the North Block are two ash populations with ash values between 0 and 12.88%. Known as “very low” and “low”, they are also of suitable quality for coking coal. Manuscript profile -
Open Access Article
43 - Application of multifractal modeling for separation of sulfidic mineralized zones based on induced polarization and resistivity data in the Ghare-Tappeh Cu deposit, NW Iran
Keyvan Karami Peyman AfzalThe aim of this study was to identify various sulfidic mineralized zones in the Ghare-Tappeh Cu deposit (NW Iran) based on geo-electrical data including induced polarization (IP) and resistivity (RS) using the concentration-volume (C-V) and number-size (N-S) fractal mod MoreThe aim of this study was to identify various sulfidic mineralized zones in the Ghare-Tappeh Cu deposit (NW Iran) based on geo-electrical data including induced polarization (IP) and resistivity (RS) using the concentration-volume (C-V) and number-size (N-S) fractal models. The fractal models were used to separate high and moderate sulfidic zones from low sulfidic zones and barren wall rocks. Both the N-S and C-V fractal models confirm that there is a high sulfidic mineralized zone in the NW part of the studied area. Moreover, the application of multifractal modeling based on the geo-electrical data is considered to be a proper approach for delineation of various mineralized zones at depth for optimization of mineral exploration operations. Finally, the results can be useful for proposing grid drilling in a detailed exploration stage. Manuscript profile -
Open Access Article
44 - Design a fractal innovation model with a sustainable approach in a chaotic environment
Amir Mehrbanpajooh Ghanbar Abbaspour Asghar Moshabaki Esfahani Gholamreza Hashemzadeh KhorasganiToday,sustainable innovation has become-one-of the requirements of-the-world,so that most managers and production-activists-who are concerned about the environment,use this type of innovation in order to be sustainable in a turbulent and turbulent economic environmen MoreToday,sustainable innovation has become-one-of the requirements of-the-world,so that most managers and production-activists-who are concerned about the environment,use this type of innovation in order to be sustainable in a turbulent and turbulent economic environment,as well as to adapt to it.Due to its unique characteristics,fractal innovation is closely related to the concepts of sustainability(social and ecological) because this view of innovation seeks to minimize resources(raw materials,production resources,energy, water,waste-and-financial resources).The purpose of this study is to provide a model that can be used to consider the dynamics of innovation and business sustainability factors.Also,the present study is quantitative and-exploratory.In this-study,the-components of the fractal innovation model of sustainability were classified using Heidegger method and their originality was measured using the Iranian matrix method.In addition,in order to prioritize the components over the indicators,-the rapid impact assessment matrix method was used, then the four-level focal model was used to present the model.The statistical population of this research is science and technology parks active in the field of innovation in Iran,ten of which were selected as a sample(expert)and with the help of interviews and distribution of questionnaires,the data obtained with the help of Excel software were analyzed.As a result,30components of the fractal sustainable innovation were founded,the most important components included components of circular economy,large scale change,external capability,resource efficiency,stakeholder co-creation,competitive evaluation,economical innovation is the most important and prioritized. Manuscript profile -
Open Access Article
45 - Fundamentals of Chaos Theory and Fractal Geometry for Determination of Open Pit Mines’ Planning and Design Parameters regarding Sustainable Development
omid Mohammadi Afshin Akbari Dehkharghani Seyed Mosleh EftekhariSince all mining projects are subjected to uncertainty, risk analysis of these projects is essential. It is also possible to know the exact amount of minable reserve, due to its location in the underground and the operating limitations, when the entire reserve is extrac MoreSince all mining projects are subjected to uncertainty, risk analysis of these projects is essential. It is also possible to know the exact amount of minable reserve, due to its location in the underground and the operating limitations, when the entire reserve is extracted. Therefore, the effective parameters in the technical and economic evaluation of mining projects are highly diverse and all of them are subject to wide variations with respect to the quantitative and qualitative dimensions of the data. This process is caused by causes beyond human control, and sometimes, no matter how much it costs, full information is not possible. Hence, in all mining projects, in calculating income and expenditure figures and therefore economic calculations, they have to take into account the margin of confidence and are required to calculate risk. It would make more logical to consider the probabilistic changes of effective parameters in the economic analysis of mining projects. And taking into account the least and most likely occurrence of each row. When one of the most important issues with uncertainty is the price of metal, then uncertainty in the ultimate pit limit determination is raised. Since metal price prediction is uncertain, chaos theory and fractal geometry can be used to predict metal price. In this study, chaos theory and fractal geometry have been used to estimate the metal price correctly, since the metal price changes follow fractal and chaotic behavior. Therefore, if a correct estimate of the metal price is obtained, the ultimate pit limit will be close to reality and based on that the optimal pit limit can be obtained, which according to the principles of sustainable development leads to the metal mining at a lower price and the ultimate pit limit is more sustainable and has better environmental protection. Manuscript profile -
Open Access Article
46 - Study of dispersion of radioactive elements uranium, thorium and potassium in the region Hashtrood using airborne radiometric data
Ali Nouhi Afshar Zia ZarifiNowadays geophysical airborne data have high importance for radioactive mineral exploration. In fact these data is major base for radioactive elements exploration. In this study by airborne radiometric data interpretation collected from Hashtrod 1:100000 sheet&nbs MoreNowadays geophysical airborne data have high importance for radioactive mineral exploration. In fact these data is major base for radioactive elements exploration. In this study by airborne radiometric data interpretation collected from Hashtrod 1:100000 sheet no. 5464 situated in north Iran expectation areas for uranium, thorium and potassium were recognized. Firstly, statistical parameters were calculated and radiometric elements' histograms of the area were drawn using conventional statistics. Moreover, promising maps were drawn based on the dispersion around the mean. Then, concentration- area full logarithm plots were drawn by using fractal method and digit data collected in the area. Next, plots associated uranium, thorium and potassium anomalous areas were prepared after step separation of different environments (background, threshold, anomaly) had been done based on C-A angular coefficient curve. The correlation coefficients between These elements were determined after some tables of data scattering were drawn. The image Ternary radioelement map color space GRB earns in the region and finally to process the images and extract the most important forms of uranium anomalies identified hot area and the introduction of promising deposits of radioactive minerals indexes were examined for discovery proceedings Manuscript profile -
Open Access Article
47 - Comparative study of analytical methods in geochemical data optimization, Ghoulan area, E-Azarbaijan
حمید SHahinfarDetection of optimized geochemical patterns requires Orientation Survey (O.S.) in which one of its importantlayers is selecting an effective data analysis method.In order to detect favorable potentials in Ghoulan area, discrimination of mineralized and blind ore zones u MoreDetection of optimized geochemical patterns requires Orientation Survey (O.S.) in which one of its importantlayers is selecting an effective data analysis method.In order to detect favorable potentials in Ghoulan area, discrimination of mineralized and blind ore zones usingadvanced techniques with presenting a suitable geochemical pattern and relative pathfinders is the scope of thisstudy. In this respect, 233 stream sediment samples were collected from the area and analyzed for base metals(Cu, Mo, Cr, Co, Ni, Pb, Zn, As, Y …) and their indicator elements.The anomalous zones in the area were detected using two systemic methods such as principal componentanalysis (PCA) and Fractal (F) methods. Application of F method on geochemical data leads to detection of twoanomalous zones of Cu in Gharachilar and W-Loutkeh, with Mo appearance in Namnigh. The separation ofthese two anomalous zones (Cu& Mo) probably is due to acidity of area formed by solubility of sulphides fromoutcrops and migration of Mo in the form of molibdate which caused the precipitation of Cu and Mo in twodifferent zones.The results show that both methods (F&PCA) have similar detection zones but the capability of PCA inenhancement of halos and detection of blind ore zones is more effective than F method. As in this case, it coulddetect strong blind anomalous zone of Mo in Namnigh in addition to Cu & Mo trend. Overall, thecharacterization of methods also revealed that the PCA is more reliable in rejecting the syngenetic effects and theresults can be more precisely used in the area. Manuscript profile -
Open Access Article
48 - Study of dispersion of radioactive elements uranium, thorium and potassium in the region Hashtrood using airborne radiometric data
Ali Nohi Afshar Zia ZarifiNowadays geophysical airborne data have high importance for radioactive mineral exploration. In fact these data is major base for radioactive elements exploration. In this study by airborne radiometric data interpretation collected from Hashtrod 1:100000 sheet&nbs MoreNowadays geophysical airborne data have high importance for radioactive mineral exploration. In fact these data is major base for radioactive elements exploration. In this study by airborne radiometric data interpretation collected from Hashtrod 1:100000 sheet no. 5464 situated in north Iran expectation areas for uranium, thorium and potassium were recognized. Firstly, statistical parameters were calculated and radiometric elements' histograms of the area were drawn using conventional statistics. Moreover, promising maps were drawn based on the dispersion around the mean. Then, concentration- area full logarithm plots were drawn by using fractal method and digit data collected in the area. Next, plots associated uranium, thorium and potassium anomalous areas were prepared after step separation of different environments (background, threshold, anomaly) had been done based on C-A angular coefficient curve. The correlation coefficients between These elements were determined after some tables of data scattering were drawn. The image Ternary radioelement map color space GRB earns in the region and finally to process the images and extract the most important forms of uranium anomalies identified hot area and the introduction of promising deposits of radioactive minerals indexes were examined for discovery proceedings. Manuscript profile -
Open Access Article
49 - Design and Miniaturization of a Novel Fractal Microstrip Antenna for UWB Applications
Zeynab Zohrabi yashar zehforoosh -
Open Access Article
50 - MEDICAL IMAGE COMPRESSION: A REVIEW
Nasser Lotfivand neda rezaei -
Open Access Article
51 - Fractal Multi Input Multi Output Antenna for WLAN Applications
Saeed Mojarrad yashar zehforoosh -
Open Access Article
52 - Comparative analysis of geometric forms and numerical calculation of fractals in Khayyam’s Mausoleum based on the Islamic architecture’s definitions and box-counting method
Hengame Rezazade Mahta Tari -
Open Access Article
53 - Investigation of the scheme police to coping with disturbance by chaos theory
sajad namour mohammad javad zahedi homa zanjani zadehIn this study, we intend to make sociology with chaos theory. Then we intend to Investigation of the scheme police to coping with disturbance from 2006 until 2010 in north khorasan by chaos theory. Our designing research is the secondary analysis of police information. MoreIn this study, we intend to make sociology with chaos theory. Then we intend to Investigation of the scheme police to coping with disturbance from 2006 until 2010 in north khorasan by chaos theory. Our designing research is the secondary analysis of police information. There are a lot of fractals in our chaotic world. We said a lot of fractals are present in our behavior, therefore in a major view we have fractals in relations of different societies. If we know positive social fractals and expand them in our society we will have progressive social chaos in future. If we accept negative fractals, we will be lead towards regressive social chaos non-consciously. All sociologists should intend to find beautiful social fractals and inform people about it and manage to keep them in order to have progressive social chaos in future. This is the real goal of sociology and sociologists task. The result showed the police design to coping with disturbance from 2006 until 2010 is lead towards progressive social chaos in north khorasan Manuscript profile -
Open Access Article
54 - Markov Characteristics for IFSP and IIFSP
Nan Jiang Wei Li Fei Li Juntao WangAs the research object of modern nonlinear science, a fractal theory has been an important research content for scholars since it comes into the world. Moreover, iterated function system (IFS) is a significant research object of fractal theory. On the other ha MoreAs the research object of modern nonlinear science, a fractal theory has been an important research content for scholars since it comes into the world. Moreover, iterated function system (IFS) is a significant research object of fractal theory. On the other hand, the Markov process plays an important role in the stochastic process. In this paper, the iterated function system with probability(IFSP) and the infinite function system with probability(IIFSP) are investigated by using interlink, period, recurrence and some related concepts. Then, some important properties are obtained, such as: 1. The sequence of stochastic variable $\{\zeta_{n},(n\geq 0)\}$ is a homogenous Markov chain. 2. The sequence of stochastic variable $\{\zeta_{n},(n\geq 0)\}$ is an irreducible ergodic chain. 3. The distribution of transition probability $ p_{ij}^{(n)}$ based on $n\rightarrow\infty $ is a stationary probability distribution. 4. The state space can be decomposed of the union of the finite(or countable) mutually disjoint subsets, which are composed of non-recurrence states and recurrence states respectively. Manuscript profile -
Open Access Article
55 - Pore surface fractal dimension of sol-gel derived nanoporous SiO2-ZrO2 membrane
maryam shojaie bahaabad -
Open Access Article
56 - Fractal analysis of daily rainfall in Karkheh and Dez catchment
ziba hasanvand Dariush Yarahmadi hasan lashkari Hamid MirhashemiPrecipitation is important climatic varibles which is directly involved the hydrological cycle. Iran is considered the most arid and semi – arid regions of the world due to lack rainfall and their inappropriate distribution, which has always faced water shortage i MorePrecipitation is important climatic varibles which is directly involved the hydrological cycle. Iran is considered the most arid and semi – arid regions of the world due to lack rainfall and their inappropriate distribution, which has always faced water shortage important limitations of natural resources.Therefore, the present study was conducted with the aim of extracting scale behavior and identifying (long – term and short – term) precipitation memory of two Karkheh and Dez catchment. For this purpose, Precipitation data of two Karkheh and Dez catchment were used over a period of 60 years (1959 – 2019). The results showed that the stations both areas have 2 rainfall regimes. In the study precipitation regimes all stations, two basins were identified. The small – scale precipitation regime has a long – term memory and a stable time series. However the large – scale precipitation regimes has a short – term memory and its time series is static except Doab and Darreh Takht station. both precipitation regimes show completely different scale behavior. the relationship between precipitation scale behavior and topography of the study area was calculated using pearson correlation test. The results show that there is no significant relationship between Karkheh basin both precipitation regimes. but in Dez basin, there is a significant correlation the small – scale precipitation regime, but there is no significant correlation the large – scale precipitation regime. This can be due to the conflicting and heterogeneous topographic situation in different parts of the region in Karkheh Manuscript profile -
Open Access Article
57 - Functional Analysis of the dynamic equilibrium of monthly and annual precipitation in Shiraz synoptic stations
Abdolali Kamane Mahdi Narangifard Ahmad Mazidi Gholamali MozafariApplying the logic of chaos, fractal and fuzzy understanding of many details natural phenomena so far unexplained and were described as helpful and resourceful. In this framework with the aim of determining the equilibrium dynamics governing the behavior of long-term st MoreApplying the logic of chaos, fractal and fuzzy understanding of many details natural phenomena so far unexplained and were described as helpful and resourceful. In this framework with the aim of determining the equilibrium dynamics governing the behavior of long-term structural (1951-2014) monthly and annual rain in Shiraz synoptic stations parameters of nonlinear analysis functions simplex is used. In order to analyze the logic of the Shiraz station is the process algebraic of frequency of occurrence of each of the real values of monthly and annual rain in a chordal matrix was used, Then the correlation between the inputs (x) and outputs (y) trigonometric functions resulting from chordal matrix absolute values of rain and the frequency of their occurrence calculation was extracted the desired Criteria. Research findings showed that the dynamics of monthly rain Shiraz argument simplex to algebra as a function of Y = 0/5717x-906 is defined And given that the correlation between the input and output simplex is at its highest among the functions resulting from chordal matrix calculation and compliance with the Criteria 2kΠ cycle trigonometric quadratic polynomial than the vectors x & y with a correlation more than 0/5 (0/6) is, Therefore governing structure of the fractal parameters of monthly rain will be followed. This is process annual time format follows the same structure. In other words structure monthly and annual rain in Shiraz parameter of the chaos structure to the fractal structure and of Disequilibrium to Nonequilibrium desire is Manuscript profile -
Open Access Article
58 - A Triangular Patch Antenna with a Trapezoidal Fractal with Two Sublayers with Complementary Layers
Mohammadreza Sepehri Mohammad Amin HonarvarIn this paper, the improvement of the radiation pattern and the properties of multi-band trapezoidal fractal antenna with self-complementary layers have been investigated. The antenna is excited by a microstrip feed-line with two sub-layers to increase bandwidth and imp MoreIn this paper, the improvement of the radiation pattern and the properties of multi-band trapezoidal fractal antenna with self-complementary layers have been investigated. The antenna is excited by a microstrip feed-line with two sub-layers to increase bandwidth and improve the radiation pattern. The dual-layered complementary arrangement has had positive effects on the resonance frequencies and improved the properties of the radiation patterns. This antenna offers a good efficiency, suitable bandwidth, and radiated pattern in a designed resonance frequency. Six bands (S11<-15 dB), with center frequencies of f1=0.9 GHz, f2=1.57 GHz, f3=1.85 GHz, f4=2.15 GHz, f5=2.5 GHz and f6=3.5 GHz are obtained within the band of (0.5-4) GHz. This antenna offers good efficiency which changes from 70% to 95%. The measurement results clearly confirm the simulation results Manuscript profile -
Open Access Article
59 - Fire Detection Based on Extraction of Spatio-Temporal Features by Convolutional Neural Networks and Fractal Analysis
Monir Torabian Hossein Pourghassem Homayoun Mahdavi-Nasab Payam SanaeeFire is one of the dangers that can endanger human health in a short time and if it is not controlled in time, it will cause a lot of damage. Therefore, timely and accurate identification of the location of the fire can prevent the consequences of its expansion. In this MoreFire is one of the dangers that can endanger human health in a short time and if it is not controlled in time, it will cause a lot of damage. Therefore, timely and accurate identification of the location of the fire can prevent the consequences of its expansion. In this research, a new method for fire detection is proposed based on the extraction of its temporal-spatial features in video frames. In the proposed algorithm, a multiscale convolutional neural network along with a YOLO (you only look once) network is used to extract spatial features and identify fire candidate regions. Then, fractal analysis based on the temporal blanket method is then used to remove non-moving textures similar to fire and to examine the temporal features of the candidate region. Finally, the fire region is separated from the other parts of the image by fusion the results of the two steps. The evaluation results of the proposed method on three data sets show that the accuracy of fire detection is about 96.1%, while the precision and recall values are 92% and 96.9%, respectively. Experimental results show that the proposed method performs better than existing algorithms and thus confirms the ability of this method for efficient use in the real world. Manuscript profile -
Open Access Article
60 - An Adaptive Segmentation Method Using Fractal Dimension and Wavelet Transform
S.M. Anisheh -
Open Access Article
61 - Detecting Huntington Patient Using Chaotic Features of Gait Time Series
Armin Allahverdy Mahboobeh Golchin -
Open Access Article
62 - Local Characteristic Decomposition as a Novel Approach to Predict Sudden Cardiac Death in Congestive Heart Failure Patients
Ali Dorostghol Adel Maghsoudpour Ali Ghaffari Mansour Nikkhah-Bahrami -
Open Access Article
63 - A Survey of Fractal Market Hypothesis with the Markov Regime change model in the Tehran Stock Exchange
یعقوب محمودی فریدون رهنمای رودپشتی شادی شاهوردیانی حمیدرضا کردلویی مهدی معدنچی زاجThe aim of this study is to test the Fractal Market Hypothesis with the Markov regime change model in the Tehran Stock Exchange.One of the concepts in the efficient market is whether the financial time series has long-term memory and fractal properties or not. Given the MoreThe aim of this study is to test the Fractal Market Hypothesis with the Markov regime change model in the Tehran Stock Exchange.One of the concepts in the efficient market is whether the financial time series has long-term memory and fractal properties or not. Given the characteristics of the capital market, which is always faced with random shocks and leads to fluctuations in this market, it is necessary to examine the fractal characteristics of the market.In this paper, the amount of long-term memory and stability of financial time series resulting from the total stock market index for the period 2009-2019 were examined. For this purpose, first, the existence of long-term memory was examined, and then the fractal nature of the market was examined using the Harst view index. The results indicate the existence of long-term memory in this variable. In this case, with one differentiation, it becomes more differentiated, so the stock price index series in Iran has long-term memory and the effects of each shock on this variable due to its long-term memory remain for long periods. The results also showed that the overall stock market index is fractal. Manuscript profile -
Open Access Article
64 - A comparative study of deep learning model with binary and multiple classification to predict stock market trends by detecting fractal patterns based on Elliott wave theory.
Masoud Nadem Yahya Kamyabi Esfandiar MalekianAbstract One of the popular but complicated methods in technical analysis is the Elliott wave method. In this method, the most important part is to recognize the main trend patterns of the market, which is a difficult task due to the fractal structure of the market. Bu MoreAbstract One of the popular but complicated methods in technical analysis is the Elliott wave method. In this method, the most important part is to recognize the main trend patterns of the market, which is a difficult task due to the fractal structure of the market. But like other fields, the use of artificial intelligence in the field of financial forecasts has also become widespread. Therefore, it seems that the use of artificial intelligence in Elliott wave analysis is attractive. Therefore, in the current research, by introducing a deep learning model to predict the market through the detection of Elliott wave patterns, it has been investigated and compared the power of the model in two modes of binary and multiple classification. In this research, for 15 considered patterns, 1002 examples of stock price charts of companies present in the Iranian stock market in the 11-year period from 1390 to 1400 were collected and labeled, and finally for recognition as input to the deep learning algorithm with Recurrent neural network model was used in binary and multiple classification modes. In this research, RapidMiner 9.9 software was used to design and implement the model, and accuracy criteria were used to determine the power of the model. The results show 18% accuracy in pattern recognition in multiple classification mode and 61% accuracy in binary classification mode. Therefore, the power of the deep learning model in detecting the fractal patterns of Elliott waves and as a result predicting the market trend is significantly higher in the binary classification mode than in the multiple classification mode. Therefore, the present study recommends the use of deep learning model with binary classification to detect fractal patterns of Elliott waves. Manuscript profile -
Open Access Article
65 - Investigation of Fractal Property Price and Stock Returns of Tehran Stock Exchange Companies Using Nonlinear ARIFMA Model
amirhosein abdolmaleki mohsen hamidian ali baghaniMuch evidence suggests that time series such as stock market prices are complex and random, which makes their changes unpredictable. However, these time series are likely to be a nonlinear dynamic or, in other words, a chaotic process and can therefore be predictable. T MoreMuch evidence suggests that time series such as stock market prices are complex and random, which makes their changes unpredictable. However, these time series are likely to be a nonlinear dynamic or, in other words, a chaotic process and can therefore be predictable. Therefore, in this study, stock prices and stock returns of Tehran Stock Exchange companies during the period 2014-2018 and monthly intervals were tested to determine whether these variables have fractal properties in their behavior. To achieve the above objective, our model estimation is used to explain the mass fraction of moving average. The findings of the above tests indicate that stock prices and stock returns experience a turbulent and definite process. This implies that the capital market is inefficient, and because of its long-term memory, it can be useful in predicting long-term performance and may have a guide to better understanding market failure factors such as the lack of transparency of information flow and action to address it. Manuscript profile -
Open Access Article
66 - Multi Fractal Detrended Cross Correlation Analysis based on Indicator in Financial Time Series: Case Study of Forex Market
Zohreh Alamatian Majid Vafaei Jahan Reza SheibaniModeling synchronous time series in financial systems is very complex. In order to analyze such series, we require procedures that can determine long-term relations with high accuracy. Multifractal detrended cross correlation analysis (MFDCCA) is a technique to analyze MoreModeling synchronous time series in financial systems is very complex. In order to analyze such series, we require procedures that can determine long-term relations with high accuracy. Multifractal detrended cross correlation analysis (MFDCCA) is a technique to analyze long-term relations through detrending the time series. In this work we propose a novel technique for a more accurate detrending of a financial time series, called indicator-based multifractal detrended cross-correlation analysis (IMFDCCA).We aim at using financial market technical analysis indicators to better determine correlations between financial time series.We investigated our method on currency pairs EUR/USD and USD/JPY and their long-term and short-term relations of these series were determined as multifractal.In order to evaluate the effectiveness of IMFDCCA, we used R.S and GHE techniques for the Hurst exponent estimation. The evaluation results on a collection of 8 years data (2011-2019) show that the proposed method compared to the baseline (MFDCCA) reduces the RMSE by 30% and 26% using R.S and GHE respectively. Manuscript profile -
Open Access Article
67 - Presenting a Model for Predicting Stock Market Trends by Detecting Fractal Patterns Based on Elliott Wave Theory Using Deep Learning Method
Masoud Nadem Yahya Kamyabi esfandiar malekianToday, artificial intelligence has made a big change in the recognition of chart patterns in technical analysis. Although, the emergence of new and complex analytical methods in technical analysis has provided a new challenge for artificial intelligence methods. One of MoreToday, artificial intelligence has made a big change in the recognition of chart patterns in technical analysis. Although, the emergence of new and complex analytical methods in technical analysis has provided a new challenge for artificial intelligence methods. One of the popular and complex technical analysis methods is Elliott Wave Theory. On the other hand, the speed of progress of artificial intelligence methods is such that a more powerful method is introduced every time. One of the new and powerful artificial intelligence methods is the deep learning method. Therefore, in this research, a model has been presented to predict the trend of the stock market through the detection of fractal patterns based on Elliott wave theory using deep learning method. In this research, 15 Elliott wave patterns were considered, and then 1002 samples of stock price charts of companies listed on Tehran Stock Exchange were collected and labeled for patterns, and finally entered as input into deep learning algorithm using recurrent neural network model for recognition. In this research, RapidMiner 9.9 software was used and accuracy criteria were used to determine the power of the model. Based on the results, the accuracy of developed model in recognizing patterns is 61%. Manuscript profile -
Open Access Article
68 - Evaluation of return in investment company with three Markov switching model ,symmetric and asymmetric
Fatemeh Samadi F. Rahnamay Roodposhti Hashem NikoomaramFor more than a decade of modern financial theory as only the most filed comments on the capital market has been the basis of most studies. But the crisis created in the past decade in most countries and as wll as that many research topic it shows the failure of t MoreFor more than a decade of modern financial theory as only the most filed comments on the capital market has been the basis of most studies. But the crisis created in the past decade in most countries and as wll as that many research topic it shows the failure of the modern theory and traditional assumption in fainancial market . So need to reload this theory strongly felt. This new approach according to chaos theory and the fractal science ,Has transformed the classical ideas and methods and words are sufficient to describe the capital market to be done. In this paper , we attempt to introudioced the new approach in fainance. This paper present the mulifractal models of assest return (MMAR). and test the investing company return by three method (MS-EGARCH), Multifractal, Symmetric market (GARCH), Asymmetric (EGARCH). Manuscript profile -
Open Access Article
69 - A Computational Approach for Fractal Mobile-Immobile Transport with Caputo-Fabrizio Fractional Derivative
Sadegh Sadeghi
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