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

Dubois, D.; Prade, H.

Inf. Sci. 36, 85-121 (1985).

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

Keywords:

survey; fuzzy-set-theoretic operations; functional equations; multifactorial evaluation; multiattribute utility theory; importance of criteria; aggregation connective

Software:

ELECTRE

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