Abstract
One of the most attractive features of fuzzy set theory is to provide a mathematical setting for the integration of subjective categories represented by membership functions. Indeed, a body of aggregation operations is already available, which may be useful in decision analysis, quantitative psychology and information processing. 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.
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