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Equivalence class in the set of fuzzy numbers and its application in decision-making problems

Geetanjali Panda, Motilal Panigrahi and Sudarsan Nanda

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-19

Abstract:

An equivalence relation is defined in the set of fuzzy numbers. In a particular equivalence class, arithmetic operations of fuzzy numbers are introduced. A fuzzy matrix with respect to a particular class and its associated crisp matrices are also introduced. The concept of equivalence class is applied in fuzzy decision-making problems and justified through a numerical example.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:074165

DOI: 10.1155/IJMMS/2006/74165

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