Pictorial representations of fuzzy connectives, part I: cases of t-norms, t-conorms and averaging operators

Authors:
Masaharu Mizumoto
Affiliations:
Department of Management Engineering, Osaka Electro-Communication University, Neyagawa, Osaka, Japan
Venue:
Fuzzy Sets and Systems
Year:
1989

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Abstract

Part I of this paper shows a number of examples of existing t-norms and t-conorms which are known as good models of fuzzy set-theoretic intersection and union, and then the pictorial representations of t-norms and t-conorms are made with the aid of a computer. Several new examples of t-norms and t-conorms are also given. Averaging operators between min and max are summarized and their pictorial representations are also made.