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Aggregation of fuzzy opinions - an axiomatic approach. (English) Zbl 0597.90005
Summary: The importance of fuzzy valuations in diagnostics is mentioned. The problem of aggregation of fuzzy opinions obtained from a group of experts in answer to the question: ”Has an object the property labeled A and no property labeled \(\neg A?''\) is formulated. The set of aggregation axioms of L. W. Fung and K. S. Fu [Fuzzy sets Appl. cogn. Decis. Processes, U.S.-Japan Semin., Berkeley 1974, 227-256 (1975; Zbl 0366.90003)] is shortly described. The idea of weighting expert’s opinions is formalized. Then a new set of aggregation axioms is presented and an aggregating operator is introduced. ’A posteriori’ weighting of opinions in aggregation is examined.

91B10 Group preferences
03E72 Theory of fuzzy sets, etc.
Full Text: DOI
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