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A review of fuzzy set aggregation connectives. (English) Zbl 0582.03040

This paper provides an extensive survey on fuzzy-set-theoretic operations, and emphasizes the relevance of the theory of functional equations in the axiomatical construction of classes of such operations and the derivation of functional representations. The second part is devoted to the application of fuzzy set theory to multifactorial evaluation. Some links between this approach and multiattribute utility theory are explored. Problems of modeling the importance of criteria, as well as of choosing a proper aggregation connective in a given situation, are also discussed.
Reviewer: Wang Peizhuang

MSC:

03E72 Theory of fuzzy sets, etc.
91B16 Utility theory
39B99 Functional equations and inequalities

Software:

ELECTRE
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