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Some new approaches to constructing similarity measures. (English) Zbl 1315.03096

Summary: The purpose of this paper is threefold. Firstly, based on the concept of fuzzy equivalence given by J. Fodor and M. Roubens [Fuzzy preference modelling and multicriteria decision support. Dordrecht: Kluwer Academic Publishers (1994; Zbl 0827.90002)], we propose different methods for the construction of fuzzy equivalencies from biresiduations, automorphisms, fuzzy negations, t-norms and t-conorms. Secondly, we give two manners of generating similarity measures of P.Z. Wang from fuzzy equivalencies. Finally, some properties of the two kinds of similarity measures are discussed and compared.

MSC:

03E72 Theory of fuzzy sets, etc.

Citations:

Zbl 0827.90002
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References:

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