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Group decision theory with convex combination of fuzzy evaluations. (English) Zbl 0688.90006

Given is a vector of experts’ fuzzy evaluations of particular alternatives, and a vector of fuzzy weights of the experts (criteria). A choice problem is considered in terms of the “mean” aggregation procedure. Two approaches: “pairing, then pooling” and “pooling, then pairing” are considered. For both approaches, the determination of a (possibly small) subset of non-dominated alternatives is discussed. Finally, the ordering of alternatives is considered by using comparisons of fuzzy numbers.
Reviewer: J.Kacprzyk

MSC:

91B14 Social choice
91B08 Individual preferences
90B50 Management decision making, including multiple objectives
91B06 Decision theory
03E72 Theory of fuzzy sets, etc.
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References:

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