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  • List of Articles


      • Open Access Article

        1 - Sensitivity Analysis Algorithm to Measure Fuzzy Efficiency Security Margin of DMUs: A New FDEA approach
        Fatemeh Komaki Reza Fallahnejad Farhad Losseinzadeh Lotfi Mohsen Rostamy_Malkhalifeh
        AbstractAs the calculated efficiencies for the DMUs is relative, so each DMU attempts to improve its performance to don’t miss the position of efficiency in compete with other DMUs. Generally, the performance of DMUs can be evaluated from two perspectives-optimist More
        AbstractAs the calculated efficiencies for the DMUs is relative, so each DMU attempts to improve its performance to don’t miss the position of efficiency in compete with other DMUs. Generally, the performance of DMUs can be evaluated from two perspectives-optimistic and pessimistic. A part of data envelopment analysis examines the sensitivity of the set of efficient DMUs to changes in input and output values. In real world, DEA is sometimes faced with fuzzy and interval inputs and/or outputs. In this paper we focus on the one of important subjects of sensitivity analysis and present an algorithm which uses the classic fuzzy DEA models that can determine the relative efficiency security margin of DMUs with fuzzy and interval inputs and outputs and their simultaneous perturbation. Of course, in addition to the optimistic frontier, we also consider the pessimistic frontier for the observed DMUs and call it the inefficiency improvement margin. With this information, the managers of companies can identify their closest threat and improve their performance in order to keep their position in ranking. Some numerical examples for illustration are given. Manuscript profile
      • Open Access Article

        2 - A Fuzzy VOSviewer Modelling of EMI Research: A Multifaceted Perspective
        Han-Kwang Chen
        English plays an increasingly important role in non-English-speaking countries, and bilingual elites with English-Chinese always make a country's economy prosperous. Thus, to efficiently promote and implement the “English as a Medium Instruction” (EMI) progr More
        English plays an increasingly important role in non-English-speaking countries, and bilingual elites with English-Chinese always make a country's economy prosperous. Thus, to efficiently promote and implement the “English as a Medium Instruction” (EMI) program in higher education to raise university students’ English proficiency is inevitable. This study collects a total amount of 594 EMI important papers of articles, periodicals, books, etc., of the last 20 years from the Scopus database and sequentially conducts a bibliometric literature analysis of these papers with the VOSviewer software tool to gain the study conclusions. In network visualization analysis, especially when using tools like VOSviewer, fuzzy sets are essential for capturing the multifaceted nature of node relationships, enabling a more precise and informative representation of network structures and connections. According to the analysis results, the EMI study mainly started in 2014, and EMI papers have increased since. Four EMI majors have been focused. They are the aspects of higher education, the issues of trans-language, the perspectives of teachers and students, and the viewpoints of human social behavior. This research simultaneously arranges and provides valuable information on the journals, authors, units, institutes, and countries that have published EMI articles the most Manuscript profile
      • Open Access Article

        3 - A Novel Selfish Node Detection Based on Fuzzy System and Game Theory in Internet of Things
        Gholam Hossein Abdi Amir Hosein Refahi Sheikhani Sohrab Kordrostami Shahram Babaie
        Internet of Things describes a large number of devices (things) are connected through a number of sensors via Internet, and lack of some nodes cooperation in providing service to other nodes might interrupt the connection of some things, decreasing network efficiency. A More
        Internet of Things describes a large number of devices (things) are connected through a number of sensors via Internet, and lack of some nodes cooperation in providing service to other nodes might interrupt the connection of some things, decreasing network efficiency. A multi-phase mechanism based on fuzzy logic and Game theory has been designed to recognize and motivate the selfish and malicious nodes to cooperate in IoT. In the first phase, the nodes are grouped into clusters with cluster-heads for data collection. In the second phase, a multiply and dynamic game is executed while forwarding their data packet or others’ data packet. Nodes can select their strategy when data packet forwarding in the third phase (Fuzzy logic). Nodes will determine the neighboring node reputation by using fuzzy system. The amount of reputation of each of the nodes has been realized and finally, with the help of second phase and fuzzy logic, each node is decided to be cooperate or selfish nodes and in case of head, clusters and fuzzy logic in some cases, the opportunity node will be reestablished to cooperate in network activities otherwise the node will be isolated. The simulation of the proposed method has been evaluated and the parameters of selfish node detection accuracy 5%, false positive rate 8% and packet delivery rate 12% are perform better than other previous methods. . Manuscript profile
      • Open Access Article

        4 - Arithmetic Operations of Generalized Triangular Picture Fuzzy Numbers with Applications
        Mohammad Hasan Abeda Sultana Nirmal Mitra
        Picture fuzzy set is the generalization of intuitionistic fuzzy set as well as the fuzzy set considering the positive, neutral and negative membership functions of an element. In this article, we develop the arithmetic operations on generalized triangular picture fuzzy More
        Picture fuzzy set is the generalization of intuitionistic fuzzy set as well as the fuzzy set considering the positive, neutral and negative membership functions of an element. In this article, we develop the arithmetic operations on generalized triangular picture fuzzy numbers by (α,γ,β)-cut method. Some related properties of them are explored. Finally, picture fuzzy linear equations are solved by using these arithmetic operations. Manuscript profile
      • Open Access Article

        5 - An Efficient Approach based on Wu’s Method for Solving Fully Fuzzy Polynomial Equations System
        Hamed Farahani Mohammad Javad Ebadi Seyed Ahmad Edalatpanah
        This article introduces a productive algebraic approach to identifying positive solutions for a system of fully fuzzy polynomial equations (FFPEs). To achieve this, the FFPEs system is transformed into a comparable system of crisp polynomial equations. The Wu's alg More
        This article introduces a productive algebraic approach to identifying positive solutions for a system of fully fuzzy polynomial equations (FFPEs). To achieve this, the FFPEs system is transformed into a comparable system of crisp polynomial equations. The Wu's algorithm is then employed to solve the set of crisp polynomial equations as the solution method. This algorithm results in the solution of characteristic sets that are readily solvable. A key benefit of the proposed method is that all the solutions are obtained simultaneously. The article concludes by presenting some practical examples to demonstrate the efficacy of the proposed method. Manuscript profile
      • Open Access Article

        6 - A Reliable Approach in Solving Multi-Attribute Decision-Making Problems through Fuzzy Rule-Base System and Z-numbers
        Saeed Bahrami Mahmonir Bayanati Mohammad Reza Nasiri Janagha Saman Malekian Milad Abolghasemian Adel Pourghader Chobar
        Multi-Attribute Decision Making (MADM) process is the most well-known branch of decision making and it is one of the most important tasks that have received a lot of attention in many areas. In solving MADM issues, the parameters of decision-making are often faced with More
        Multi-Attribute Decision Making (MADM) process is the most well-known branch of decision making and it is one of the most important tasks that have received a lot of attention in many areas. In solving MADM issues, the parameters of decision-making are often faced with problems, such as imprecise, vague, uncertain, or incomplete information which lead to inaccurate decision-making. To cope with these problems, the researchers apply fuzzy set theory as the best-developed approach. Among different fuzzy methods, the fuzzy rule-based system (FRBS) due to its flexibility, simplicity, and experts' knowledge modeling is an adequate technique for solving MADM problems. The main objective of this study is to apply experts' opinions by Z-numbers in MADM issues to enhance the accuracy of the decision-making process. The fundamental issue in solving MADM problems is that inadequate information in the experts' opinions leads to some degree of uncertainty in decisions. Indeed, in FRBS research to ranking, the reliability level (Z-numbers) in experts' opinions within the decision-making process has not been taken into account. Whereas, the Z-numbers play a key role in the decision-making process to reach more precise decisions affecting the final ranking results. In the proposed approach (Z-FRBS), by considering experts' opinions in the form of Z-numbers to deal with inadequate information and modeling experts' knowledge through FRBS, the process of making a decision is performed without using conventional techniques which resulted in a more accurate solving MADM problems. The effectiveness and validity of the proposed method was approved with an illustrative example, sensitivity analysis, and comparison with three other validated method. Manuscript profile