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

摘要

An equivalence relation is defined in the set of fuzzy numbers. Ina particular equivalence class, arithmetic operations of fuzzynumbers are introduced. A fuzzy matrix with respect to aparticular class and its associated crisp matrices are alsointroduced. The concept of equivalence class is applied in fuzzydecision-making problems and justified through a numericalexample.