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Compositions of invariant fuzzy implications

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Abstract

We examine sup-min compositions in a finite family of fuzzy implications. Since the composition of invariant fuzzy implications is an invariant function, then we get a kind of `multiplication table' for such implications. A multistage proof of such table is presented. As a result we obtain examples of finite semigroups of fuzzy implications.

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Authors and Affiliations

  1. Institute of Mathematics, University of Rzeszów, Rejtana 16A, 35-310, Rzeszów, Poland

    J. Drewniak

  2. Institute of Mathematics, Silesian University, Bankowa 14, 40-007, Katowice, Poland

    J. Sobera

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  1. J. Drewniak
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  2. J. Sobera
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Correspondence to J. Drewniak.

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Drewniak, J., Sobera, J. Compositions of invariant fuzzy implications. Soft Comput 10, 514–520 (2006). https://doi.org/10.1007/s00500-005-0527-3

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