فهرس المقالات Soft set

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  1 - A Hybrid Model for Assessing Student Mathematical Skills
  Michael Voskoglou
  10.30495/tfss.2022.1971496.1052
  Student 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 أکثر

  Student 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. تفاصيل المقالة
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  2 - Use of Soft sets and the Bloom's Taxonomy for Assessing Learning Skills
  Michael Voskoglou
  10.30495/tfss.2022.690594
  Learning, 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 أکثر

  Learning, 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. تفاصيل المقالة
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  3 - ‎Managing the Uncertainty‎: From Probability to Fuzziness‎, Neutrosophy and Soft Sets
  Michael Voskoglou
  10.30495/tfss.2022.1960147.1036
  The present paper reviews and compares the main theories reported in the literature for managing the existing real life uncertainty by listing their advantages and disadvantages. Starting with a comparison of the bivalent logic (including probability) and fuzzy logic, p أکثر

  The present paper reviews and compares the main theories reported in the literature for managing the existing real life uncertainty by listing their advantages and disadvantages. Starting with a comparison of the bivalent logic (including probability) and fuzzy logic, proceeds to a brief description of the primary generalizations of fuzzy sets (FSs) including interval valued FSs, type-2 FSs, intuitionistic FSs, neutrosophic sets, etc. Alternative theories related to fuzziness are also examined including grey system theory, rough sets and soft sets. The conclusion obtained at the end of this discussion is that there is no ideal model for managing the uncertainty; it all depends upon the form, the available data and the existing knowledge about the problem under solution. The combination of all the existing models, however, provides a sufficient framework for efficiently tackling several types of uncertainty appearing in real life. تفاصيل المقالة
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  4 - The Soft Fuzzy Set In Electrical
  Tahere Zare Farhad Ben Mohamad Khajeh Vesal Toranj
  10.30495/fomj.2021.678783
  In this article, first the aggregation operator and the operational waves in the oscillators are introduced. Next, we choose a demanded Electrical waveform in the demanded oscillator using a model have been done. We use the fuzzy soft aggregation operator in the oscilla أکثر

  In this article, first the aggregation operator and the operational waves in the oscillators are introduced. Next, we choose a demanded Electrical waveform in the demanded oscillator using a model have been done. We use the fuzzy soft aggregation operator in the oscillators on L2 space at the method can be successfully applied to many problems that contain uncertainties. Our simulation is done with R software. تفاصيل المقالة
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  5 - On Fixed Points of Soft Set-Valued Maps
  Mohammed Shehu Shagari Ibrahim Fulatan Yahaya Sirajo
  10.30495/fomj.2021.1938962.1034
  Conventional mathematical tools which require all inferences to be exact, are not always sufficient to handle imprecisions in a wide variety of practical fields. Thus, among various developments in fuzzy mathematics, enormous efforts have been in process to produce new أکثر

  Conventional mathematical tools which require all inferences to be exact, are not always sufficient to handle imprecisions in a wide variety of practical fields. Thus, among various developments in fuzzy mathematics, enormous efforts have been in process to produce new fuzzy analogues of the classical fixed point results and their various applications. Following this line in this paper, a new type of set-valued mapping whose range set lies in a family of soft sets is examined. To this effect, we introduce a few fixed point theorems which are generalizations of several significant fixed point results of point-to-point and point-to-set valued mappings in the comparable literature. Some of these particular cases are noted and analyzed. Moreover, nontrivial examples are provided to support the assumptions of our main results. تفاصيل المقالة
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  6 - On fuzzy soft connected topological spaces
  S. Karataş B. Kılıccedil M. Tellioğlu
  In this work, we introduce notion of connectedness on fuzzy soft topological spaces and present fundamentals properties. We also investigate effect to fuzzy soft connectedness. Moreover, $C_i$-connectedness which plays an important role in fuzzy topological space extend أکثر

  In this work, we introduce notion of connectedness on fuzzy soft topological spaces and present fundamentals properties. We also investigate effect to fuzzy soft connectedness. Moreover, $C_i$-connectedness which plays an important role in fuzzy topological space extend to fuzzy soft topological spaces. تفاصيل المقالة
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  7 - Fuzzy soft ideals of near-subraction semigroups
  V. Chinnadurai S. Kadalarasi
  Our aim in this paper is to introduce the notion of fuzzy soft near-subtraction semigroupsand fuzzy soft ideals of near-subtraction semigroups. We discuss some important properties of these new fuzzy algebraic structure and investigate some examples and counter examples أکثر

  Our aim in this paper is to introduce the notion of fuzzy soft near-subtraction semigroupsand fuzzy soft ideals of near-subtraction semigroups. We discuss some important properties of these new fuzzy algebraic structure and investigate some examples and counter examples. تفاصيل المقالة
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  8 - Generalized inverse of fuzzy neutrosophic soft matrix
  R. Uma P. Murugadas S. Sriram
  Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Aim of this article is to find the maximum and minimum solution of the fuzzy neutrosophic soft relation أکثر

  Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Aim of this article is to find the maximum and minimum solution of the fuzzy neutrosophic soft relational equations xA=b and Ax=b, where x and b are fuzzy neutrosophic soft vector and A is a fuzzy neutrosophic soft matrix. Whenever A is singular we can not find A^{-1}. In that case we can use g-inverse to get the solution of the above relational equations. Further, using this concept maximum and minimum g-inverse of fuzzy neutrosophic soft matrix are obtained. تفاصيل المقالة
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  9 - Minimal solution of fuzzy neutrosophic soft matrix
  M. Kavitha P. Murugadas S. Sriram
  The aim of this article is to study the concept of unique solvability of max-min fuzzy neutrosophic soft matrix equation and strong regularity of fuzzy neutrosophic soft matrices over Fuzzy Neutrosophic Soft Algebra (FNSA). A Fuzzy Neutrosophic Soft Matrix (FNSM) is sai أکثر

  The aim of this article is to study the concept of unique solvability of max-min fuzzy neutrosophic soft matrix equation and strong regularity of fuzzy neutrosophic soft matrices over Fuzzy Neutrosophic Soft Algebra (FNSA). A Fuzzy Neutrosophic Soft Matrix (FNSM) is said to have Strong, Linear Independent (SLI) column (or, in the case of fuzzy neutrosophic soft square matrices, to be strongly regular) if for some fuzzy neutrosophic soft vector b the system A⊗x = b has a unique solution. A necessary and sufficient condition for linear system of equation over a FNSA to have a unique solution is formulated and the equivalent condition for FNSM to have SLI column and Strong Regular (SR) are presented. Moreover trapezoidal algorithm for testing these properties is reviewed. تفاصيل المقالة
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  10 - On the powers of fuzzy neutrosophic soft matrices
  M. Kavitha P. Murugadas S. Sriram
  In this paper, ‎The powers of fuzzy neutrosophic soft square matrices (FNSSMs) under the operations $\oplus(=max)$ and $\otimes(=min)$ are studied‎. ‎We show that the powers of a given FNSM stabilize if and only if its orbits stabilize for each starting fuzz أکثر

  In this paper, ‎The powers of fuzzy neutrosophic soft square matrices (FNSSMs) under the operations $\oplus(=max)$ and $\otimes(=min)$ are studied‎. ‎We show that the powers of a given FNSM stabilize if and only if its orbits stabilize for each starting fuzzy neutrosophic soft vector (FNSV) and prove a necessary and sufficient condition for this property using the associated graphs of the FNSM‎. ‎Applications of the obtained results to several spacial classes of FNSMs (including circulants) are given‎. تفاصيل المقالة
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  11 - Soft regular generalized b-closed sets in soft topological spaces
  S. M. Al-Salem
  The main purpose of this paper is to introduce and study new classes of softclosed sets like soft regular generalized b-closed sets in soft topological spaces (briefly softrgb-closed set) Moreover, soft rgb-closed, soft gpr-closed, soft gb-closed, soft gsp-closed, softg أکثر

  The main purpose of this paper is to introduce and study new classes of softclosed sets like soft regular generalized b-closed sets in soft topological spaces (briefly softrgb-closed set) Moreover, soft rgb-closed, soft gpr-closed, soft gb-closed, soft gsp-closed, softg$\alpha$-closed, soft g$\alpha$b-closed, and soft sgb-closed sets in soft topological spaces are introduced in this paper and we investigate the relations between soft rgb-closed set and the associated softsets. Also, the concept of soft semi-regularization of soft topology is introduced and studiedtheir some properties. We introduce these concepts which are defined over an initial universewith a fixed set of parameters. تفاصيل المقالة
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  12 - ‎A “Journey” from Traditional to Fuzzy Methods of Decision-Making
  Michael Gr. Voskoglou
  10.30495/TFSS.2024.1106981
  ‎Decision-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 أکثر

  ‎Decision-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. تفاصيل المقالة