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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.

MSC:
91B10 Group preferences
03E72 Theory of fuzzy sets, etc.
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