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Ranking fuzzy numbers with integral value. (English) Zbl 1229.03043
Summary: 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. We propose here 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.

MSC:
03E72 Theory of fuzzy sets, etc.
90C70 Fuzzy and other nonstochastic uncertainty mathematical programming
91B06 Decision theory
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