Results 11 to 20 of about 41,990 (276)
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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Computer Science, 2013 This paper presents certain important aspects of the fuzzy logic extension, one of which is OFN. It includes basic definitions of that discipline. It also compares fuzzy logic arithmetic with the arithmetic of ordered fuzzy numbers in L-R notation ...
Jacek M. Czerniak +2 more
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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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New Arithmetic Operations of Non-Normal Fuzzy Sets Using Compatibility [PDF]
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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Numerical Solution for Fuzzy Initial Value Problems via Interactive Arithmetic: Application to Chemical Reactions [PDF]
International Journal of Computational Intelligence Systems, 2020 This paper studies numerical solutions for fuzzy initial value problems, where the initial conditions are given by interactive fuzzy numbers. The fuzzy solution is given by a numerical method that employs the arithmetic of interactive fuzzy numbers and ...
Vinícius F. Wasques +3 more
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A Novel Approach to the Vectorial Redefinition of Ordered Fuzzy Numbers for Improved Arithmetic and Directional Representation [PDF]
Applied SciencesThis paper presents a novel formulation of Ordered Fuzzy Numbers (OFNs), referred to as Vectorial Ordered Fuzzy Numbers (vOFNs). In contrast to the traditional definition based on a pair of functions, the vOFN framework employs a pair of vectors ...
Hubert Zarzycki +2 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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