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Fuzzy arithmetic in economic research [PDF]
SHS Web of Conferences, 2021 Many tasks in economic research are based on arithmetic calculations of indicators that reflect the state of economic development. The general incompleteness of publicly available data, designed to solve such problems, has led to the emergence of ...
Gorbatiuk Kateryna +3 more
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The Arithmetic Operator of Fuzzy Regular Prismoid Numbers and Its Application to Fuzzy Risk Analysis
International Journal of Computational Intelligence Systems, 2021 We devote to study the arithmetic operator of fuzzy regular prismoid numbers as well as the degree of similarity between fuzzy regular prismoid numbers, and then the arithmetic operator and the degree of similarity are applied in risk analysis.
Shexiang Hai
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Interval Ranges of Fuzzy Sets Induced by Arithmetic Operations Using Gradual Numbers
Mathematics, 2021 Wu introduced the interval range of fuzzy sets. Based on this, he defined a kind of arithmetic of fuzzy sets using a gradual number and gradual sets. From the point of view of soft computing, this definition provides a new way of handling the arithmetic ...
Qingsong Mao, Huan Huang
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Some picture fuzzy mean operators and their applications in decision-making [PDF]
Journal of Fuzzy Extension and Applications, 2022 Picture fuzzy set is the generalization of fuzzy set and intuitionistic fuzzy set. It is useful for handling uncertainty by considering the positive membership, neutral membership and negative membership degrees independently for each element of a ...
Hasan Mohammad Kamrul +3 more
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Applied Sciences, 2021 The article presents a multidimensional type 2 epistemic fuzzy arithmetic (MT2EF-arithmetic) based on the new body definition of fuzzy set type 2 (T2FS), which in the authors’ opinion, is more suitable for fuzzy computing than the current versions of ...
Andrzej Piegat, Marek Landowski
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A Brief Analysis and Interpretation on Arithmetic Operations of Fuzzy Numbers
Results in Control and Optimization, 2023 Fuzzy set theory is a generalized form of crisp set theory where elements are binary inclusion forms. In fuzzy set, it differs with degree of membership for every element in the set. There are several strategies for arithmetic operations on fuzzy numbers.
Asesh Kumar Mukherjee +4 more
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Multidimensional solution of fuzzy linear programming [PDF]
PeerJ Computer Science, 2023 There are several approaches to address fuzzy linear programming problems (FLPP). However, due to using standard interval arithmetic (SIA), these methods have some limitations and are not complete solutions.
Seyyed Ahmad Edalatpanah
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IEEE Transactions on Fuzzy Systems, 2010 It is well known that a fuzzy rule base can be interpreted in different ways. From a logical point of view, the conjunctive interpretation is preferred, while from a practical point of view, the disjunctive interpretation has been dominantly present.
Martin Stepnicka +2 more
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Arithmetics of Vectors of Fuzzy Sets
Mathematics, 2020 The arithmetic operations of fuzzy sets are completely different from the arithmetic operations of vectors of fuzzy sets. In this paper, the arithmetic operations of vectors of fuzzy intervals are studied by using the extension principle and a form of ...
Hsien-Chung Wu
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New Arithmetic Operations of Non-Normal Fuzzy Sets Using Compatibility
Axioms, 2023 The new arithmetic operations of non-normal fuzzy sets are studied in this paper by using the extension principle and considering the general aggregation function. Usually, the aggregation functions are taken to be the minimum function or t-norms.
Hsien-Chung Wu
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