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Ranking fuzzy numbers with integral value
Journal article   Peer reviewed

Ranking fuzzy numbers with integral value

Tian-Shy Liou and MAO-JIUN WANG
Fuzzy Sets and Systems, Vol.50(3), pp.247-255
25/09/1992

Abstract

index of optimism integral value Ranking fuzzy numbers
Ranking fuzzy numbers is important in decision making. Since very often the alternatives are evaluated by fuzzy numbers in a vague environment, a comparison between these fuzzy numbers is indeed a comparison between alternatives. This paper proposes a method of ranking fuzzy numbers with integral value. The method, which is independent of the type of membership functions used and the normality of the functions, can rank more than two fuzzy numbers simultaneously. It is relatively simple in computation, especially in ranking triangular and trapezoidal fuzzy numbers. Further, an index of optimism is used to reflect the decision maker's optimistic attitude. Discussion on comparative advantages is included. © 1992.

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