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Open Access Article
1 - A Fuzzy Model to Determine the Structural Dimensions of Organization Based on the Contextual Dimensions
S. Khan Mohammadi A.R. Bafandeh ZendehThis paper introduces a fuzzy-based model for analysis of organizational structure. This model has threestages. In the first stage, it applies a fuzzy system to obtain the desired structural dimensions (system’soutputs) based on the contextual dimensions (system&r MoreThis paper introduces a fuzzy-based model for analysis of organizational structure. This model has threestages. In the first stage, it applies a fuzzy system to obtain the desired structural dimensions (system’soutputs) based on the contextual dimensions (system’s inputs). According to management literature the mostsignificant structural dimensions consist of formalization, centralization and complexity and the majorcontextual dimensions are strategy, technology, environmental uncertainty and size of organization. In thisstage, the model estimates the present structural dimensions too. In the second stage, the model presents afuzzy system to determine the mechanistic and organic aspects of organizational structure (theoreticalstructure), which is estimated for both of the desired and present status. In this stage the system’s inputs arecomputed structural dimensions in first stage and its out put is theoretical structure. Finally after testing themodel, a method is presented to analyze the gap existing between the desired and present structure in thethird stage Manuscript profile -
Open Access Article
2 - Developed Fordyce Webster Algorithm for Solving Periodic Ordering with Fuzzy Costs
N. Hamidi P. Samouei M. EghbaliOne of the most useful algorithms for inventory efficient control is the Fordyce Webster algorithm.This algorithm can solve problems with certainty parameters. In the real world, many parameters, likeinflation, can change inventory costs. This article establishes an alg MoreOne of the most useful algorithms for inventory efficient control is the Fordyce Webster algorithm.This algorithm can solve problems with certainty parameters. In the real world, many parameters, likeinflation, can change inventory costs. This article establishes an algorithm based on fuzzy inventorycosts (e.g. holding costs, ordering costs, and purchase cost). These costs are fuzzy triangular numbers.A numerical example is explained. The results show that the proposed algorithm is very flexible. Manuscript profile -
Open Access Article
3 - A Hybrid Data Envelopment Analysis Method for Solving Decision Making Problems with GTHF Numbers
tayebeh Rezaei Taziani mahnaz barkhordariahmadi mohamad reza Balooch ShahryariTo face uncertainty in the real world, the two value logic has gradually replaced the fuzzy logic. In some real world problems, accurate determination of membership value is difficult and decision- making is associated with uncertainty and hesitation. This new perspecti MoreTo face uncertainty in the real world, the two value logic has gradually replaced the fuzzy logic. In some real world problems, accurate determination of membership value is difficult and decision- making is associated with uncertainty and hesitation. This new perspective manages the uncertainty caused by hesitation. Generalized trapezoidal hesitant fuzzy numbers (GTHFN), whose membership degree is expressed by several trapezoidal fuzzy number, is best suited to solve the decision-making problem in real life than real numbers. In this paper, we refer to a new concept called 'generalized trapezoidal hesitant fuzzy numbers' and its combination with data envelopment analysis. Using this information, we consider the deviation and the score values as input and output of the data envelopment analysis model in two stages respectively; then we used the result to construct a paired comparison matrix and eventually we prioritize the receivers decision making units. To use some concepts in the proposed decision making method, we first present some definitions of concepts such as the score and deviation functions from the generalized trapezoidal hesitant fuzzy numbers. Finally, a numerical example is presented for the proposed method to confirm its applicability, and the ranking result is compared with the methods of AP, TOPSIS with GTHF number and the weighted geometric operator in [7]. Manuscript profile -
Open Access Article
4 - Classifying Flexible Factors Using Fuzzy Concept
S. Saati N. ImaniIn Data Envelopment Analysis (DEA), it is assumed that the role of each factor is known asinput or output. However, in some cases, there are shared factors that their input versusoutput status is not clearly known. These are flexible measures. In such cases, determining MoreIn Data Envelopment Analysis (DEA), it is assumed that the role of each factor is known asinput or output. However, in some cases, there are shared factors that their input versusoutput status is not clearly known. These are flexible measures. In such cases, determiningwhether a factor is input or output is ambiguous. Therefore, using fuzzy concept seems to benecessary.In this paper, a two phase procedure is proposed to fuzzy classification of flexible measures.In the first phase, applying the existing classification methods, an orientation of flexiblemeasures to aid in the definition of inputs and outputs is achieved. Through defining amembership function in second phase, the input versus output status of a factor is expressedby fuzzy notion. By the proposed method, the efficiency of a decision mating unit is defendedby a membership degree. We illustrate the proposed model in a practical problem setting. Manuscript profile -
Open Access Article
5 - Some results on Bipolar Fuzzy Graph
H. salehIn this paper, the notion ofgraph operationsdisjunction and symmetric difference on bipolar fuzzy graphs are defined and it is proved that the new graph is a bipolar graph. Furthermore,the new concepts of bipolar fuzzy graphs calledupperstrong and lower strongbipolar fu MoreIn this paper, the notion ofgraph operationsdisjunction and symmetric difference on bipolar fuzzy graphs are defined and it is proved that the new graph is a bipolar graph. Furthermore,the new concepts of bipolar fuzzy graphs calledupperstrong and lower strongbipolar fuzzy graphare introduced and some related properties investigated. Finally, an application of bipolar fuzzy graph is explnaid. Manuscript profile -
Open Access Article
6 - Risk Analysis in E-commerce via Fuzzy Logic
Mohammad Hossien Zirakja Reza Samizadeh -
Open Access Article
7 - Fuzzy Activity Based Costing
Yahya Hasas Yeganeh Hojat Hassanzadeh Mohammad Ghadiry TalaghiyanABC is New Paradigm in Managerial Accounting This Study Investigatesthe new Paradigm in ABC as Fuzzy Activity Based Costing. Comparative ofthis Method with ABC. Accrued Many Information and Usefulness forDecision Making.ABC is New Paradigm in Managerial Accounting This Study Investigatesthe new Paradigm in ABC as Fuzzy Activity Based Costing. Comparative ofthis Method with ABC. Accrued Many Information and Usefulness forDecision Making. Manuscript profile -
Open Access Article
8 - Fuzzy Analysis of Citizen Social Participation in Tehran
Hadi Barghamadi Adel AbdollahiInterdiction: The current study investigates the degree of involvement of Tehran in social participation using the concepts related to fuzzy sets. The level of involvement of Tehran citizens in social trust and social solidarity as well as causal requirements for social MoreInterdiction: The current study investigates the degree of involvement of Tehran in social participation using the concepts related to fuzzy sets. The level of involvement of Tehran citizens in social trust and social solidarity as well as causal requirements for social participation is evaluated through consistency and coverage index. Method: The research is an applied, descriptive, and cross-sectional one. Documentary data has been collected in the field. The statistical population include15 years or older residents in 22 districts of Tehran and the sample size is 920 subjects selected through random sampling and analyzed by questionnaire. Finding and Conclusion:The results showed that all the studied cases (22 districts of Tehran Municipality) has confirmed that social trust and solidarity is the causal requirement for social participation of citizens in Tehran. Social trust and social solidarity cover 0.6247% and 0.4734% of social participation in Tehran, respectively; this shows that social trust is a more important variable in Tehran involvement in social participation. Manuscript profile -
Open Access Article
9 - The Evaluation of Commercial Banks Performance and Market Risk by using of Fuzzy DEA
Javad Gerami Seyed Majid Sajjadi -
Open Access Article
10 - Effectiveness of Green Transformational Leadership under Human Resources Sustainable Competency of Golestan Oil Company
Ehsan Shahhosseini Mahmudreza Mostaghimi Samere ShojaieBackground and Objective: The Purpose of this research is evaluating the effectiveness of green transformational leadership under the human resources sustainable competency of Golestan Oil Company by Intuitive fuzzy sets. Material and Methodology: This research is a de MoreBackground and Objective: The Purpose of this research is evaluating the effectiveness of green transformational leadership under the human resources sustainable competency of Golestan Oil Company by Intuitive fuzzy sets. Material and Methodology: This research is a developmental research in terms of purpose, because of the lack of a basis for evaluating the effectiveness of green transformational leadership under a sustainable human resource competency system in previous research, based on meta-analysis in the first step, an attempt was made to identify components as analytical basis for research and themes as decision variables. Then, in order to explain the identified components and themes, in a small part, Intuitive Fuzzy Sets (IFSs) was used to determine the most effective dimension of green transformational leadership based on the most important theme of sustainable human resource competence. In this study, the target population consisted of two sections: qualitative and quantitative. In the qualitative section, with the help of 15 experts and experts in the field of human resource management at the university level, an attempt was made to identify research components, components and propositions in the form of scores. In the quantitative sector, 21 middle managers of the oil company in Golestan province participated to evaluate the quantitative sector analyzes. Findings: The results showed that, despite the participatory competencies of human resources, the most important dimension of green transformational leadership is the effectiveness of opportunity. Discussion and Conclusion: In fact, the result of this study reflects the fact that the participatory competence of human resources strengthens the level of interoperability and communication within the organization in the field of decision-making on environmental issues and problems and it strengthens the dimension of effective opportunity in transformational green leadership to create more ideas and support for human resource innovations in the field of green operations in the oil company. Manuscript profile -
Open Access Article
11 - Assessing of Green Tax Sustainability Based on Obstacles to Implementing the Tax Administration's Notification Policy
Maha Taheri Gholamreza Memarzade Tehran Morteza Moosa KhaniBackground and Objective: One of the important issues in the tax administration is the lack of acceptable performance and defined goals for notification policies. The purpose of this research is Assessing of Green Tax Sustainability Based on Obstacles to Implementing th MoreBackground and Objective: One of the important issues in the tax administration is the lack of acceptable performance and defined goals for notification policies. The purpose of this research is Assessing of Green Tax Sustainability Based on Obstacles to Implementing the Tax Administration's Notification Policy. Material and Methodology: This research is developmental in terms of methodology and is combined in terms of data collection type. In this study, in the qualitative part, based on meta-analysis processes, an attempt was made to first identify researches related to the two concepts of barriers to the Implementing the Tax Administration's Notification Policy and the consequences of green tax sustainability, and then to determine the components and themes of the research based on critical evaluation scale. Also in the qualitative part, Delphi analysis was used to determine the extent of theoretical consensus. In a Quantitative part, were used intuitionistic fuzzy sets (IFSs). Findings: The results showed that structural barrier is considered as the most effective theme of barriers to the implementation of notification policies which can interfere with the sustainability of the consequences of green tax sustainability. Discussion and Conclusion: The result shows that the obstacles to the implementation of the notification policies of the Tax Administration neutralize environmental pollution as the most important consequence of green tax sustainability, and this issue makes the consequences of green tax sustainability practically not have the necessary impact on the economy. Manuscript profile -
Open Access Article
12 - تعیین اوزان قطعی نرمال شده از ماتریسهای مقایسات فازی با استفاده از مدل برنامه-ریزی آرمانی لگاریتمی دو مرحلهای بهبودیافته
امیر محمدقاسمی عبدالله هادی ونچهفرآیند تجزیه و تحلیل سلسله مراتبی فازی (FAHP) یکی از مشهورترین تکنیک­های تصمیم گیری چند معیاره است که با استفاده از آن اوزان معیارها و مقادیر ارزیابی گزینه­ها بر پایه مقایسات زوجی فازی ایجاد می­گردند. رویکردهای زیادی جهت تعیین اوزان از ماتریس­های مقایسات Moreفرآیند تجزیه و تحلیل سلسله مراتبی فازی (FAHP) یکی از مشهورترین تکنیک­های تصمیم گیری چند معیاره است که با استفاده از آن اوزان معیارها و مقادیر ارزیابی گزینه­ها بر پایه مقایسات زوجی فازی ایجاد می­گردند. رویکردهای زیادی جهت تعیین اوزان از ماتریس­های مقایسات زوجی وجود دارند. برخی از این روش­ها اوزان بازه­ای را در آلفا برش­ها محاسبه کرده­اند. با این وجود، در برخی تکنیک­های تصمیم گیری چندمعیاره (نظیر روش ترجیح بر اساس مشابهت به راه حل ایده­آل (TOPSIS)، راه حل توافقی و بهینه سازی چند معیاره (VIKOR) و FAHP) لازم است تا اوزان قطعی نرمال شده محاسبه شود. در مقاله حاضر، نویسندگان شاخصی را توسعه دادند که با استفاده از آن اوزان بازه­ای بدست آمده در آلفا برش­ها به وزن قطعی تلفیق می­شود. در انتها، چندین مثال توضیحی در ادبیات جهت نشان دادن اعتبار شاخص پیشنهادی در نظر گرفته شده و پس از آن، نتایج بدست آمده با اوزان استخراج شده توسط برنامه­ریزی ترجیحی فازی (FPP) مقایسه می­شوند. نتایج بدست آمده نشان می­دهند که تکنیک پیشنهادی جهت بدست آوری اوزان قطعی روشی مناسب است و اولویت­های رتبه بندی مشابهی را با سایر روش­ها دارد. Manuscript profile -
Open Access Article
13 - Solving fully fuzzy linear programming
M. Otadi -
Open Access Article
14 - A Study on Intuitionistic Fuzzy and Normal Fuzzy M-Subgroup, M-Homomorphism and Isomorphism
M. Oqla Massa'deh -
Open Access Article
15 - A general approach to linguistic approximation and its application in frame of fuzzy logic deduction
Rasoul Saneifard Rahim Saneifard -
Open Access Article
16 - New Generalized Interval Valued Intuitionistic Fuzzy Numbers
Ezzatallah Baloui Jamkhaneh A. Saeidifar -
Open Access Article
17 - Designing an Analytical Model for Assessing Supply Chain Resilience to different Types of Risks: Case Study of Iran Petro-chemical Industries
Mohammad Bahrami Seyfabad Ahmad Jafar Nejad Ezatollah Asghari Zadeh Hanan Amo Zad -
Open Access Article
18 - Assessing the Performance of the Organization Using the Combined Approach of Fuzzy Data Envelopment Analysis and Balanced Scorecard (Case study: Tejarat Bank Branches of Yazd Province)
Seyed Habibollah Mirghafoori Ali Morovati Vahid Namavaran Fatemeh ZamaniIn today’s competitive environment in manufacturing and services process, the organizations are confronted with the need to have indicators and patterns for assessing the performance. The balanced scorecard is a successful instrument in implementing the strategic MoreIn today’s competitive environment in manufacturing and services process, the organizations are confronted with the need to have indicators and patterns for assessing the performance. The balanced scorecard is a successful instrument in implementing the strategic plans of the organization. The present paper aims to evaluate the performance and rank the branches of Tejarat bank in Yazd province based on their efficiency. The balanced scorecard is an appropriate device for designing and measuring the performance in terms of four perspectives including financial, customer, internal process and growth and innovation. This study also intends to use a combining model of BSC and fuzzy data envelopment analysis to evaluate the performance of the branches. This is a descriptive study using field study along with the library, observation and sometimes interview to gather the required information. The findings reveal that among the twenty-six examined branches, 11 branches are efficient. Additionally, the cross efficiency ranking has been used to rank the branches. Finally, the sensitivity analyses demonstrate that ATM has the highest impact on the efficiency of the units followed by the position and the number of employees. On the other hand, the total bank deposits have the least impact on the efficiency of the banks. Manuscript profile -
Open Access Article
19 - Application of fuzzy theory in analysis of slides considering the iandslide of Mohammad Abad- Jiroft
Mehdi Mohammadi Hossein Tavakoli Hamid ShojaeeIn the present paper, fuzzy theory is used for the analysis of landslides and the state of Mohammad Abadlandslide, located in Jiroft- Kerman road, is investigated using this method. Shear strength parameters, unitweight and piezometric level which have uncertainty are s MoreIn the present paper, fuzzy theory is used for the analysis of landslides and the state of Mohammad Abadlandslide, located in Jiroft- Kerman road, is investigated using this method. Shear strength parameters, unitweight and piezometric level which have uncertainty are selected as variables and the statistic distribution ofthese parameters are obtained using best fit software. Also, using the limit equilibrium method, sensivity analysisis done the shear strength parameters with respect to the safety factor. Finally, the parameters are chosen as thefuzzy set and the stability analysis is done based on the limit equilibrium method. Results show that, since thefuzzy set considers a range of safety factors, stability analysis is done with more certainty and also, as the resultsshow, the considered landslide is unstable Manuscript profile -
Open Access Article
20 - Adaptive Inverse Control of Flexible Link Robot Using ANFIS Based on Type-2 Fuzzy
Saeed Barghandan Mohammad Esmael Akbari Hamid Ghadiri -
Open Access Article
21 - A New Model for Best Customer Segment Selection Using Fuzzy TOPSIS Based on Shannon Entropy
Naime Ranjbar Kermany Sasan H. Alizadeh -
Open Access Article
22 - Failure Mode and Effects Analysis Using Generalized Mixture Operators
mahdi shaghaghi Kamran Rezaie -
Open Access Article
23 - An Assessment Method for Project Cash Flow under Interval-Valued Fuzzy Environment
Vahid Mohagheghi SEYED meysam mousavi Behnam Vahdani -
Open Access Article
24 - Hierarchical Group Compromise Ranking Methodology Based on Euclidean–Hausdorff Distance Measure Under Uncertainty: An Application to Facility Location Selection Problem
Seyed Meysam Mousavi Hossein Gitinavard Behnam Vahdani Nazanin Foroozesh -
Open Access Article
25 - A hybrid intuitionistic fuzzy multi-criteria group decision making approach for supplier selection
Ahmad Makui Mohammad Gholamian Erfan Mohammadi -
Open Access Article
26 - A New Version of Earned Value Analysis for Mega Projects Under Interval-valued Fuzzy Environment
N Moradi Seyed Meysam Mousavi Behnam Vahdani -
Open Access Article
27 - Overcoming the uncertainty in a research reactor LOCA in level-1 PSA; Fuzzy based fault-tree/event-tree analysis
Masoud Mohsendokht Mehdi Hashemi-Tilehnoee -
Open Access Article
28 - A note on "An interval type-2 fuzzy extension of the TOPSIS method using alpha cuts"
Amir Mohamadghasemi -
Open Access Article
29 - A New Analysis of Critical Paths in Mega Projects with Interval Type-2 Fuzzy Activities by Considering Time, Cost, Risk, Quality, and Safety Factors
Yahya Dorfeshan Seyed Meysam Mousavi Behnam Vahdani -
Open Access Article
30 - An EOQ Model for Defective Items Under Pythagorean Fuzzy Environment
Mitali Nayak Suchitra Patnaik Milu Acharya -
Open Access Article
31 - A New Algorithm for the Discrete Shortest Path Problem in a Network Based on Ideal Fuzzy Sets
Sadollah Ebrahimnejad Seyed Meysam Mousavi Behnam Vahdani -
Open Access Article
32 - A New Fuzzy Method for Assessing Six Sigma Measures
Seyed Habib A Rahmati Abolfazl Kazemi Mohammad Saidi Mehrabad Alireza Alinezhad -
Open Access Article
33 - A Fuzzy Decision-Making Methodology for Risk Response Planning in Large-Scale Projects
Seyed Meysam Mousavi Sadigh Raissi Behnam Vahdani Seyed Mohammad Hossein -
Open Access Article
34 - Organizational Behavior with Organizational Justice Approach Based on Fuzzy Expert System (Case study: Small Foods Industrials of East Azerbaijan)
Nasser Fegh-hi FarahmandThe aim of this study is measuring of organizational justice based on fuzzy expert system. Accordingly, a model is designed based on fuzzy sets theory. The introduced model has five stages. In the first stage, input and output variables of model are characterized by ava MoreThe aim of this study is measuring of organizational justice based on fuzzy expert system. Accordingly, a model is designed based on fuzzy sets theory. The introduced model has five stages. In the first stage, input and output variables of model are characterized by available theories. Inputs are as follows: distributive justice, procedural justice and interactional justice. The output is the score of organizational justice. In the second stage, the input and output are converted into fuzzy numbers after classification. Inference rules are explained in the third stage. In the fourth stage, defuzzification is performed, and in the fifth stage, the devised system is tested. The test result shows that the presented model is of high validity. Ultimately, by using the designed model, the score of organizational justice for Small Food Industrials of East Azerbaijan was calculated. The statistical population consists of all staffs and middle managers in these organizations. Using Cochran formula, the sample size is260 employees and 106 middle managers. A questionnaire was devised, and its validity and reliability were confirmed. The result indicates that, the score of organizational justice in Small Food Industrials with the membership rank of 0.816 is at an average level and with the membership rank of 0.184 is low. Manuscript profile -
Open Access Article
35 - Evaluating the Performance of Management in Engineer Traininig Centers of Iran Based on Fuzzy Approach: A case study
Hassan Khademi Zare Mahnaz zareiOne of the key factors that lead organizations and high education centers to deficieney is that their processes and obtained results are not evaluted well. In the case that high education centers realize their positions well and become aware of their weaknesses, they wi MoreOne of the key factors that lead organizations and high education centers to deficieney is that their processes and obtained results are not evaluted well. In the case that high education centers realize their positions well and become aware of their weaknesses, they will no doubt attempt to eliminate those deficiencies. The purpose of this research, whose implementation scope is one of the technical-engineering complexes, is to present a method for the evalution of the performance of management in engineer training centers based on the European Foundation for Quality Management (EFQM) excellence model. Since the existing decision – making environment of high education centers, like many other organizations, is generally fuzzy and vague, for a further adjustment of the mentioned method with the existing situations of high education centers the proposed model is designed in fuzzy environments so that we would be able to evaluate the management performance of high engineering education centers in a more accurate way. Manuscript profile -
Open Access Article
36 - Investigating the application of knowledge management process in a service organization (case study)
Houshang Taghizadeh Gholamreza Soltani Fesghandis Rouhollah MahdilouyThe purpose of this paper is to assess the use of knowledge management process and its five main stages-gaining knowledge, recordeding knowledge, knowledge transfer, knowledge creation, and the application of knowledge in the organization- using fuzzy set theory. The st MoreThe purpose of this paper is to assess the use of knowledge management process and its five main stages-gaining knowledge, recordeding knowledge, knowledge transfer, knowledge creation, and the application of knowledge in the organization- using fuzzy set theory. The statistical population consists of 75 members of service organization personnel. Due to the limited number of the statistical population, no sampling has been done and all the population has been studied. In order to collect data, a questionnaire has been used, the validity and reliability of which have been tested and approved. The results of the study indicate that in the organization under study the rate of applying the five main stages (process dimensions) of knowledge management is at an average level. Also, there is a considerable difference between the present situation and the desired situation of the five main stages of knowledge management in the organization under study. Manuscript profile -
Open Access Article
37 - The joint SERVQUAL and hierarchical TOPSIS based on type2 fuzzy sets for assessment of quality services (Case study: the public transportation of service quality of sharekurd)
Ali dehghani Filabadi Amir saman Kheirkhah Hamid-reza AhadiThe SERVQUAL method is one of the most applied methods for assessment of service quality which have a hierarchical structure including a few main dimensions and a few items, which analyzes the distance between expectations and perceptions of received services for each o MoreThe SERVQUAL method is one of the most applied methods for assessment of service quality which have a hierarchical structure including a few main dimensions and a few items, which analyzes the distance between expectations and perceptions of received services for each of the items. On the other hand, the qualities of services are mental and concrete concepts which their indexes are determined in linguistic vocabulary with ambiguity. Therefore, in this paper a joint SERVQUAL and hierarchical TOPSIS method was assessed, and to deal with ambiguity of the data, the concepts of type-2 fuzzy sets were used. The proposed method for assessment the quality of services, the outline of urban transportation in Sharekurd including, bus, tour taxi and public taxi were used. The results showed that, altogether tour taxi has the highest level of service quality, and public taxi and bus were next respectively. Manuscript profile -
Open Access Article
38 - Developing an Expert Fuzzy-based system for Planning the Organizational Structure
Alireza Bafandeh zendehIn this paper a fuzzy-based approach for selecting a suitable organizational structure is introduced. The model is developed according to contingency approach. To do so, five stages are considered. In the first stage, a fuzzy system whose inputs are contextual dimension MoreIn this paper a fuzzy-based approach for selecting a suitable organizational structure is introduced. The model is developed according to contingency approach. To do so, five stages are considered. In the first stage, a fuzzy system whose inputs are contextual dimensions is presented. These dimensions are technology, strategy, Environmental uncertainty, and Organization size. This system's outputs are the types of organizational structure. In the second stage, inputs and outputs are fuzzified. To do so, the triangular function is applied. Inference rules (inference engine) are developed in the third stage. The fourth stage is defuzzification stage. In the fifth stage the model is tested. Manuscript profile -
Open Access Article
39 - Characterization of Topological Fuzzy Sets in Hausdorff Spaces
Benard Okelo Allan OnyangoIn this paper, we have characterized big data fuzzy sets and shown that topological data points form singleton fuzzy sets which are closed. Besides, fuzzy sets of topological data points are compact and have at least one closed point. We have also shown that the fuzzy s MoreIn this paper, we have characterized big data fuzzy sets and shown that topological data points form singleton fuzzy sets which are closed. Besides, fuzzy sets of topological data points are compact and have at least one closed point. We have also shown that the fuzzy set of all condensation points of a fuzzy Hausdor space is in nite and the cardinality of a topological data fuzzy set is also in nite and arbitrarily distributed in fuzzy Hausdor spaces. Manuscript profile -
Open Access Article
40 - A Hybrid Model for Assessing Student Mathematical Skills
Michael VoskoglouStudent assessment is a very important process in education, because it helps the instructor to determine student mistakes and to improve their performance by reforming his/her teaching plans. A hybrid assessment method using qualitative grades for evaluating student ma MoreStudent assessment is a very important process in education, because it helps the instructor to determine student mistakes and to improve their performance by reforming his/her teaching plans. A hybrid assessment method using qualitative grades for evaluating student mathematical skills is presented in this work. The paper starts with the mathematical background which is necessary for the understanding of its contents. This includes basic information about fuzzy, neutrosophic and soft sets, and about grey numbers. It also includes a description of the use of the center of gravity (COG) defuzzification technique for assessing a student group’s quality performance. The COG technique is compared with the classical method of calculating the GP A index. The hybrid assessment method, which is based on all the previous concepts and processes, is developed next and the article closes with the final conclusion and some recommendations for future research. Manuscript profile -
Open Access Article
41 - Use of Soft sets and the Bloom's Taxonomy for Assessing Learning Skills
Michael VoskoglouLearning, a universal process that all individuals experience, is a fundamental component of human cognition. It combines cognitive, emotional and environmental influences for acquiring or enhancing ones knowledge and skills. Volumes of research have been written about MoreLearning, a universal process that all individuals experience, is a fundamental component of human cognition. It combines cognitive, emotional and environmental influences for acquiring or enhancing ones knowledge and skills. Volumes of research have been written about learning and many theories have been developed for the description of its mechanisms. The goal was to understand objectively how people learn and then develop teaching approaches accordingly. In this paper soft sets, a generalization of fuzzy sets introduced in 1999 by D. Molodstov as a new mathematical tool for dealing with the uncertainty in a parametric manner, are used for assessing student learning skills with the help of the Blooms taxonomy. Blooms taxonomy has been applied and is still applied by generations of teachers as a teaching tool to help balance assessment by ensuring that all orders of thinking are exercised in student learning. The innovative assessment method introduced in this paper is very useful when the assessment has qualitative rather than quantitative characteristics. A classroom application is also presented illustrating its applicability under real conditions. Manuscript profile -
Open Access Article
42 - Lukasiewicz Anti Fuzzy Set and Its Application in BE-algebras
Young Bae JunThe idea of Lukasiewicz t-conorm is used to construct the concept of Lukasiewicz anti fuzzy sets based on a given anti fuzzy set, and it is applied to BE-algebras. The notion of Lukasiewicz anti fuzzy BE-ideal is introduced, and its properties are investigated. The cond MoreThe idea of Lukasiewicz t-conorm is used to construct the concept of Lukasiewicz anti fuzzy sets based on a given anti fuzzy set, and it is applied to BE-algebras. The notion of Lukasiewicz anti fuzzy BE-ideal is introduced, and its properties are investigated. The conditions under which Lukasiewicz anti fuzzy set will be Lukasiewicz anti fuzzy BE-ideal are explored, and the relationship between anti fuzzy BE-ideal and Lukasiewicz anti fuzzy BE-ideal are discussed. Three types of subsets so called ⋖-subset, Υ-subset, and anti subset are constructed, and the conditions under which they can be BE-ideals are explored. Manuscript profile -
Open Access Article
43 - Managing the Uncertainty: From Probability to Fuzziness, Neutrosophy and Soft Sets
Michael Voskoglou -
Open Access Article
44 - On a New View of a Fuzzy Set
Enric Trillas Adolfo De SotoWith this paper the authors try to newly reflect on Zadeh’s concept of a fuzzy set. The departing point is the fact that not only fuzzy sets originate in Language, but that they are just ’linguistic entities’ genetically different from the concept of ’crisp sets’ whose MoreWith this paper the authors try to newly reflect on Zadeh’s concept of a fuzzy set. The departing point is the fact that not only fuzzy sets originate in Language, but that they are just ’linguistic entities’ genetically different from the concept of ’crisp sets’ whose origin is either in a physical collection of objects, or in a list of them. Thus, a new definition of a fuzzy set is presented by means of two magnitudes: A qualitative one, a graph, the basic magnitude, and a quantitative one, a scalar magnitude. If the first reflects the language’s relational ground of the fuzzy set, the second - and thanks to ’measuring the meaning of words’ -, reflects the (numerical) extensional state in which it currently appears. Since the second, the scalar magnitude, is essential for the applications, it is also introduced the concept of a ’working fuzzy set’ by taking into account the numerical function, the meaning’s measure or the membership function. The working fuzzy set, that enlarges the corresponding fuzzy set, allows us to see the ’same fuzzy set’ with different membership functions, that is, the same graph appearing in different extensional states. Notice that a ’working crisp set’ is but the same crisp set. Manuscript profile -
Open Access Article
45 - Role of Fuzzy Sets on Artificial Intelligence Methods: A literature Review
Cengiz Kahraman Sezi Onar Basar Oztaysi Selcuk CebiMachines can model and improve the human minds capabilities through artificial intelligence. One of the most popular tools of artificial intelligence is fuzzy sets, which can capture and model the vagueness and impreciseness in human thoughts. This paper, first of all, MoreMachines can model and improve the human minds capabilities through artificial intelligence. One of the most popular tools of artificial intelligence is fuzzy sets, which can capture and model the vagueness and impreciseness in human thoughts. This paper, first of all, introduces the recent extensions of ordinary fuzzy sets and then presents a literature review on the integration of fuzzy sets with other artificial intelligence techniques such as automated reasoning, autonomous agents, multi-agent systems, machine learning, case-based reasoning, deep learning, information reasoning, information representation, natural language processing, symbolic reasoning, and neural networks. Graphical illustrations of literature review results are presented for each of these integrated artificial intelligence techniques. The results of a patent search on fuzzy artificial intelligence are also given. Manuscript profile -
Open Access Article
46 - Shannon Entropy Analysis of Serum C-Terminal Agrin Fragment as a Biomarker for Kidney Function: Reference Ranges, Healing Sequences and Insights
Mehmet SengonulThis article focuses on evaluating the success or failure of kidney transplantation using Shannon entropy, fuzzy sets, and Scaf. The data for Scaf references used in this study for both healthy individuals and kidney transplant recipients have been collected from MoreThis article focuses on evaluating the success or failure of kidney transplantation using Shannon entropy, fuzzy sets, and Scaf. The data for Scaf references used in this study for both healthy individuals and kidney transplant recipients have been collected from the relevant literature. For both groups, Scaf's Shannon entropy values have been calculated using an appropriate probability density function and formulation, and sequences have been generated for CAF and Scr biomarkers from entropy values, with findings interpreted. These sequences are called healing sequences. A case study demonstrating whether the transplant procedure was successful or unsuccessful was presented using sequences that we refer to as healing sequences. In this context, the utilization of mathematical tools such as fuzzy sets, Shannon entropy, and reference intervals becomes evident. These tools provide a systematic and quantitative approach to assessing the outcomes of kidney transplantation. By leveraging the principles of Shannon entropy, we gain insights into the degree of unpredictability and fuzziness associated with biomarker values, which can be indicative of the transplant's success. Furthermore, the concept of healing sequences provides a valuable framework for tracking the progression of patients post-transplantation. By monitoring changes in CAF and Scr biomarkers over time, healthcare professionals can make informed decisions and interventions to ensure the well-being of kidney transplant recipients. Manuscript profile -
Open Access Article
47 - Similarity Measure: An Intuitionistic Fuzzy Rough Set Approach
Jaydip BhattacharyaIn fuzzy set theory, the concept of a non-membership function and the hesitation margin were not considered while these two concepts have been included along with the membership function for intuitionistic fuzzy sets. It is also to be noted that the intuitionistic fuzzy MoreIn fuzzy set theory, the concept of a non-membership function and the hesitation margin were not considered while these two concepts have been included along with the membership function for intuitionistic fuzzy sets. It is also to be noted that the intuitionistic fuzzy set is reflected as an extension of the fuzzy set accommodating both membership and non-membership functions together with a hesitation margin. In the intuitionistic fuzzy set theory, the sum of the membership function and the non-membership function is a value between 0 and 1. In recent times, intuitionistic fuzzy rough set theory has emerged as a powerful tool for dealing with imprecision and uncertain information in relational database theory. Measures of similarity between fuzzy rough sets as well as intuitionistic fuzzy rough sets provide wide applications in real-life problems and that is why many researchers paid more attention to this concept. Intuitionistic fuzzy rough set theory behaves like an excellent tool to tackle impreciseness or uncertainties. In this paper, we propose a new approach of similarity measure on an intuitionistic fuzzy rough set based on a set-theoretic approach. The proposed measure is able to give an exact result. In the application part, we consider a real-life problem for selecting a fair play award-winning team in a cricket tournament and describe the algorithm. Manuscript profile -
Open Access Article
48 - A Novel Technique for Solving the Uncertainty under the Environment of Neutrosophic Theory of Choice
Tabasam Rashid Aamir Mehboob Ismat BegWhen it comes to solving dynamic programming challenges, it is essential to have a well-structured decision theory. As a result, the decision-makers must operate in a dynamically complicated environment where appropriate and rapid reaction in a cooperat MoreWhen it comes to solving dynamic programming challenges, it is essential to have a well-structured decision theory. As a result, the decision-makers must operate in a dynamically complicated environment where appropriate and rapid reaction in a cooperative way is the fundamental key to effectively completing the task. We express a theory of decision modeling and axiomatizing a decision-making process. The payoffs and probabilities are represented with simplified neutrosophic sets. We therefore, provide the theory of choice with the implementation of simplified neutrosophic sets. By exploiting the idea of pure strategy, we introduce two steps: in the first step, for each attractive point, some particular event is selected that can bring about a relatively neutrosophic upper payoff with a relatively neutrosophic upper probability or a relatively neutrosophic lower payoff with a relatively neutrosophic upper probability. A decision-maker selects the most favored attractive point in the second stage, based on the focus on all attractive points. Neutrosophic focus theory has been introduced to improve overall performance with more flexibility in complex decision-making. The approach suggested in this work has been implemented in a real-life example to determine its effectiveness. The proposed method is shown to be the most useful for ranking scenarios and addressing dynamic programming problems in decision-making. Manuscript profile -
Open Access Article
49 - Intuitionistic Hesitant Fuzzy Algorithm for Multi-Objective Structural Model Using Various Membership Functions
Sanjoy Biswas Samir DeyIn real life, structural problems can be described in linear and nonlinear forms. This nonlinear structural problem is very challenging to solve when its all parameters are imprecise in nature. Intuitionistic fuzzy sets were proposed to manage circumstances in which exp MoreIn real life, structural problems can be described in linear and nonlinear forms. This nonlinear structural problem is very challenging to solve when its all parameters are imprecise in nature. Intuitionistic fuzzy sets were proposed to manage circumstances in which experts have some membership and non-membership value to judge an option. Hesitant fuzzy sets were used to manage scenarios in which experts pause between many possible membership values while evaluating an alternative. A new growing area of a generalized fuzzy set theory called intuitionistic hesitant fuzzy set (IHFS) provides useful tools for dealing with uncertainty in structural design problem that is observed in the actual world. In this article, we have developed a procedure to solve non-linear structural problem in an intuitionistic hesitant fuzzy (IHF) environment. The concept of an intuitionistic hesitant fuzzy set is introduced to provide a computational basis to manage the situations in which experts assess an alternative in possible membership values and non-membership values. This important feature is not available in the intuitionistic fuzzy optimization technique. Here we have discussed the solution procedure of intuitionistic hesitant fuzzy optimization technique dedicatedly for linear, exponential, and hyperbolic types of membership and non-membership functions. Some theoretical development based on these functions has been discussed. A numerical illustration is given to justify the effectiveness and efficiency of the proposed method in comparison with fuzzy multi-objective nonlinear programming method and intuitionistic fuzzy multi-objective nonlinear programming method. Finally, based on the proposed work, conclusions and future research directions are addressed. Manuscript profile -
Open Access Article
50 - Intuitionistic Fuzzy Modular Spaces
Tayebe Lal ShateriAfter the introduction of the concept of fuzzy sets by Zadeh, several researches were conducted on the generalizations of the notion of fuzzy sets. There are many viewpoints on the notion of metric space in fuzzy topology. One of the most important problems in fuzzy top MoreAfter the introduction of the concept of fuzzy sets by Zadeh, several researches were conducted on the generalizations of the notion of fuzzy sets. There are many viewpoints on the notion of metric space in fuzzy topology. One of the most important problems in fuzzy topology is obtaining an appropriate concept of fuzzy metric space. This problem has been investigated by many authors from different points of view. Atanassov gives the concept of the intuitionistic fuzzy set as a generalization of the fuzzy set. Park introduced the notion of intuitionistic fuzzy metric space as a natural generalization of fuzzy metric spaces due to George and Veeramani. This paper introduces the concept of intuitionistic fuzzy modular space. Afterward, a Hausdorff topology induced by a δ-homogeneous intuitionistic fuzzy modular is defined and some related topological properties are also examined. After giving the fundamental definitions and the necessary examples, we introduce the definitions of intuitionistic fuzzy boundedness, intuitionistic fuzzy compactness, and intuitionistic fuzzy convergence, and obtain several preservation properties and some characterizations concerning them. Also, we investigate the relationship between an intuitionistic fuzzy modular and an intuitionistic fuzzy metric. Finally, we prove some known results of metric spaces including Baires theorem and the Uniform limit theorem for intuitionistic fuzzy modular spaces. Manuscript profile -
Open Access Article
51 - The Reference Ideal Method and the Pythagorean Fuzzy Numbers
Elio Cables María Teresa Lamata Jose Luis Verdegay -
Open Access Article
52 - The Soft Fuzzy Set In Electrical
Tahere Zare Farhad Ben Mohamad Khajeh Vesal Toranj -
Open Access Article
53 - Rough Set in Fuzzy Approximation Space with Fuzzy Equivalence Class
Mohadeseh Taginejad -
Open Access Article
54 - Integrating Developed Evolutionary Algorithm and Taguchi Method for Solving Fuzzy Facility’s Layout Problem
Hossein Jafari Abbas Sheykhan -
Open Access Article
55 - Coping Uncertainty in the Supplier Selection Problem Using a Scenario-Based Approach and Distance Measure on Type-2 Intuitionistic Fuzzy Sets
Ali Sorourkhah -
Open Access Article
56 - On Fixed Points of Soft Set-Valued Maps
Mohammed Shehu Shagari Ibrahim Fulatan Yahaya Sirajo -
Open Access Article
57 - Fuzzy Regression Models Using the Least-Squares Method based on the Concept of Distance: Simplified Approach
Abdullah Al-Qudaimi Walid Yousef -
Open Access Article
58 - Anti Fuzzy Bi-Ideals in Semirings Under S-Norms
Rasul Rasuli -
Open Access Article
59 - Arithmetic Operations of Generalized Triangular Picture Fuzzy Numbers with Applications
Mohammad Hasan Abeda Sultana Nirmal Mitra -
Open Access Article
60 - Fermatean Fuzzy Type Statistical Concepts with Medical Decision-Making Application
Murat Kirisci -
Open Access Article
61 - Application of Grey Numbers and Neutrosophic Sets to Assessment Processes
Michael Voskoglou -
Open Access Article
62 - A Fuzzy VOSviewer Modelling of EMI Research: A Multifaceted Perspective
Han-Kwang Chen -
Open Access Article
63 - مقدار انرژی پیوسته مولکول 3-آمینو-4-نیترامین فورازان با تکنیکهای بهینهسـازی مدرن
Ahmet Sahiner Fatih Ucun Sumeyya Komanتغییـر مقـدار انـرژی سـازگار مولکـول (C2N4O3H2) با دو زاویه پیچشـی ابتدا بـا اسـتفاده از نظریـه تابع چگالـی (DFT) با تابع همبسـتگی -Lee-young par و31-6 مجموعـه پایـه بـر مجموعـهای در برنامه گاوسـی محاسـبه شـد. و پـس از آن، ایـن دادههـا گسسـته به دسـت آمـده با اسـتفاده ا Moreتغییـر مقـدار انـرژی سـازگار مولکـول (C2N4O3H2) با دو زاویه پیچشـی ابتدا بـا اسـتفاده از نظریـه تابع چگالـی (DFT) با تابع همبسـتگی -Lee-young par و31-6 مجموعـه پایـه بـر مجموعـهای در برنامه گاوسـی محاسـبه شـد. و پـس از آن، ایـن دادههـا گسسـته به دسـت آمـده با اسـتفاده از منطق مدلسـازی فـازی (FLM) و شـبکه عصبـی مصنوعـی (ANN) پیوسـته سـاخته شـد. این امـر بـه مـا اجـازه پیش بینـی در مورد دادههای تسـت نشـده و، به دسـت آوردن مقـدار انرژی بهینهسـازی شـده وابسـته بـه دو زاویـه چرخش با هزینه محاسـباتی منطقـی، کارایـی زیـاد و دقـت بـالا را میدهـد . نتایـج بـه دسـت آمـده بـا نتایج DFT بـا اسـتفاده از تجزیه و تحلیل رگرسـیون مقایسـه شـدند. Manuscript profile -
Open Access Article
64 - On the averaging of differential inclusions with Fuzzy right hand side with the average of the right hand side is absent
Andrej Plotnikov Tatyana Komleva Lilia Plotnikova -
Open Access Article
65 - Application of adaptive fuzzy decision-making system for managing water consumption at smart house
Reza Mohammadi Jahan Mohsen Daryani Mehdi Azarafza -
Open Access Article
66 - Type-2 fuzzy set extension of DEMATEL method combined with perceptual computing for decision making
Mitra Bokaei Hosseini Mohammad Jafar Tarokh -
Open Access Article
67 - Correlation coefficient of intuitionistic fuzzy sets
W Zeng H Li -
Open Access Article
68 - A fuzzy approach to the evaluation of human factors in ultrasonic nondestructive examinations
J Domech Moré A.S Guimarães G Bonorino Xexéo R Tanscheit -
Open Access Article
69 - Ranking the Leather Manufacturing Units from the Perspective of the Entrepreneurship Features of the Staffs Based on the Expert Fuzzy System
Houshang Taghizadeh Nasser TaamoliThe aim of the present study is to rank the leather manufacturing units from the perspective of the entrepreneurship features of the organization's staffs. Accordingly, the present article presents a model based on the theory of the fuzzy sets to determine the entrepren MoreThe aim of the present study is to rank the leather manufacturing units from the perspective of the entrepreneurship features of the organization's staffs. Accordingly, the present article presents a model based on the theory of the fuzzy sets to determine the entrepreneurship score in the organization from the perspective of the entrepreneurship features of the staffs. This model has five stages. In the first stage, the input and output variables of the model are obtained based on the existing theories. The model inputs consist of creativity, innovation, risk-taking, responsibility and seeking success. In the second stage, inputs and outputs are converted to fuzzy numbers after partitioning. In the third stage, the inference rules, which are in the form of if-and-therefore rules, are edited based on the literature of the topic and comments of the experts. In the fourth stage, defuzzification is done, and in the fifth stage, the designed model is tested. The test results show that the presented model has a high validity. Finally, the score of organizational entrepreneurship for the leather manufacturing units is calculated using the designed model. The sample of the present research is 11 leather manufacturing units in the East Azarbaijan province which has 20 or more employees. Due to the limited number of the population, the total population has been surveyed. In order to collect data, a reliable and valid questionnaire was used. The results indicate that Aida, Shahgoli and Markazi Leather companies are ranked first through third, respectively from the perspective of entrepreneurship scores of 0.621, 0.626, and 0.604. Manuscript profile -
Open Access Article
70 - A Flexible Link Radar Control Based on Type-2 Fuzzy Systems
Sajad Rahmati Heshmat Asadi -
Open Access Article
71 - Financial risk evaluation of investment companies in Tehran Stock Exchange with fuzzy decision-making method D-CRITIC and EDAS based on a new score function
Mehdi Aghabeigi Ekhtiar KhodadadiFinancial risk evaluation of companies is crucial to identify potential financial risks, provide a decision basis for senior chief financial officer, and prevent and reduce risk losses. In evaluating the financial risk of companies, the basic issue is related to uncerta MoreFinancial risk evaluation of companies is crucial to identify potential financial risks, provide a decision basis for senior chief financial officer, and prevent and reduce risk losses. In evaluating the financial risk of companies, the basic issue is related to uncertainty and inaccuracy. In this research, in order to evaluate the financial risks of companies in the Tehran Stock Exchange, we use group decision-making methods. The Pythagorean fuzzy set (PFS), which is depicted by degrees of membership and non-membership, is a new and more effective tool for dealing with ambiguity. In this paper, a new Pythagorean fuzzy score function is presented to solve the comparison problem. In addition, we present composite weights that reflect both subjective and objective preferences. Then, the weight of the criteria and the correlation between the pair of criteria by D-CRITIC, and the prioritization of financial risk of companies by the EDAS method (Evaluation Based on Distance from Average Solution) based on the new score function are calculated. This method is very useful when we have conflicting criteria. Finally, we express the feasibility of the algorithm to evaluate the financial risk of four investment group with six criteria with the corresponding sensitivity analysis. Manuscript profile -
Open Access Article
72 - Bipolar general fuzzy automata
M. Horry -
Open Access Article
73 - Second order linear differential equations with generalized trapezoidal intuitionistic Fuzzy boundary value
S. P. Mondal T. K. Roy -
Open Access Article
74 - On Fixed Point Results of L-Fuzzy Set-Valued Maps
Shehu Shagari Mohammed Iqra Zia Akbar Azam -
Open Access Article
75 - Using Fuzzy Interest Rates for Uncertainty Modelling in Enhanced Annuities Pricing
Mahboubeh Aalaei -
Open Access Article
76 - Evaluation of Performance of Chicken Meat Suppliers Using Fuzzy-MCDM Method (Case Study: Arak City-Iran)
Asma Etebari Rahmat Arab Mohammad Amirkhan -
Open Access Article
77 - A FUZZY MODEL FOR ASSESSMENT PROCESSES
Michael Gr. Voskoglou -
Open Access Article
78 - Enhancing Big Data Governance Framework Implementation Using Novel Fuzzy Frank Operators: An Application to MADM Process
Hamza Iftikhar Faisal MehmoodIn today's data-driven landscape, to ensure continuous survival and betterment, the implementation of a robust Big Data Governance Framework (BDGF) is imperative for organizations to effectively manage and harness the potential of their vast data resources. The BD MoreIn today's data-driven landscape, to ensure continuous survival and betterment, the implementation of a robust Big Data Governance Framework (BDGF) is imperative for organizations to effectively manage and harness the potential of their vast data resources. The BDGF serves no purpose when implemented in a random manner. This article delves into the complex decision-making challenges that emerge in the context of implementation of the BDGF under uncertain conditions. Specifically, we aim to analyze and evaluate the BDGF performance using the Multi-Attribute Decision-Making (MADM) techniques aiming to address the intricacies of big data governance uncertainties. To achieve our objectives, we explore the application of Frank operators within the framework of complex picture fuzzy (CPF) sets (CPFs). We introduce complex picture fuzzy Frank weighted averaging (CPFFWA) and complex picture fuzzy Frank ordered weighted averaging (CPFFOWA) operators to enable more accurate implementation of the BDGF. Additionally, we rigorously examine the reliability of these newly proposed fuzzy Frank (FF) operators (FFAOs), taking into consideration essential properties such as idempotency, monotonicity, and boundedness. To illustrate the practical applicability of our approach, we present a case study that highlights the decision-making challenges encountered in the implementation of the BDGF. Subsequently, we conduct a comprehensive numerical example to assess various BDGF implementation options using the MADM technique based on complex picture fuzzy Frank aggregation (CPFFA) operators. Furthermore, we perform a comprehensive comparative assessment of our proposed methodology, emphasizing the significance of the novel insights and results derived. In conclusion, this research article offers a unique and innovative perspective on decision-making within the realm of the BDGF. By employing the CPFFWA and the CPFFOWA operators, organizations can make well-informed decisions to optimize their BDGF implementations, mitigate uncertainties, and harness the full potential of their data assets in an ever-evolving data landscape. This work contributes to the advancement of decision support systems for big data governance (BDG), providing valuable insights for practitioners and scholars alike. Manuscript profile -
Open Access Article
79 - A “Journey” from Traditional to Fuzzy Methods of Decision-Making
Michael Gr. VoskoglouDecision-making (DM) is one of the most important components of human cognition. Starting with a review of the traditional criteria for DM, this work presents also a method for the verification of a decision, a step of the DM process which, due to its special i MoreDecision-making (DM) is one of the most important components of human cognition. Starting with a review of the traditional criteria for DM, this work presents also a method for the verification of a decision, a step of the DM process which, due to its special interest, is usually examined separately from its other steps. Frequently in everyday life, however, the data of a DM problem are vague and characterized by uncertainty. In such cases the traditional techniques for DM, which are based on principles of the bivalent logic (yes-no), cannot help effectively in making the right decision. The first who introduced principles of the fuzzy sets theory in DM were Bellman and Zadeh in 1970 and an example is given here illustrating their fuzzy criterion for DM. Also, among the several fuzzy methods proposed later by other researchers for a more effective DM, a hybrid method is developed here for parametric multiple-criteria DM using soft sets and grey numbers (or intuitionistic fuzzy sets, or neutrosophic sets) as tools, which improves an earlier method proposed by Maji et al. in 2002. All the DM approaches presented in this paper are illustrated with everyday practical examples. Manuscript profile -
Open Access Article
80 - Families of Fuzzy Sets and Lattice Isomorphisms Preparation
John Mordeson Sunil MathewIn this paper, we discuss how theoretical results from one family of fuzzy sets can be carried over immediately to another family of fuzzy sets by the use of lattice isomorphisms. We also show that these families can occur naturally and that applications may not necessa MoreIn this paper, we discuss how theoretical results from one family of fuzzy sets can be carried over immediately to another family of fuzzy sets by the use of lattice isomorphisms. We also show that these families can occur naturally and that applications may not necessarily be carried over using these isomorphisms. We illustrate this using techniques from the study of human trafficking and its analysis using mathematics of uncertainty. We also consider the new definition of fuzzy set provided by Trillas and de Soto. Manuscript profile