A Brief Analysis and Interpretation on Arithmetic Operations of Fuzzy Numbers

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. Previous studies show that there are many ap...

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Bibliographic Details
Published in:	Results in control and optimization Vol. 13; p. 100312
Main Authors:	Mukherjee, Asesh Kumar, Gazi, Kamal Hossain, Salahshour, Soheil, Ghosh, Arijit, Mondal, Sankar Prasad
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.12.2023 Elsevier
Subjects:	Arithmetic operations of fuzzy numbers Fuzzy sets Triangular fuzzy number α–cut set α–cut set Fuzzy sets Arithmetic operations of fuzzy numbers Triangular fuzzy number
ISSN:	2666-7207, 2666-7207
Online Access:	Get full text
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Summary:	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. Previous studies show that there are many approaches, such as the α−cut technique, extension principle, vertex method, etc., to execute arithmetic operations on fuzzy numbers. In this study we perform details analysis and interpretation on arithmetic operations based on the α−cut method in a new way.
ISSN:	2666-7207 2666-7207
DOI:	10.1016/j.rico.2023.100312