Generalized compositions of fuzzy relations

Authors:
Józef Drewniak;Krzysztof Kula
Affiliations:
Institute of Mathematics, University of Rzeszów, 35-310 Rzeszów, ul. Rejtana 16a, Poland and Institute of Mathematics, Silesian University, 40-007 Katowice, ul. Bankowa 14, Poland;Institute of Mathematics, Silesian University, 40-007 Katowice, ul. Bankowa 14, Poland
Venue:
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Year:
2002

Citing 5
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Abstract

We examine compositions of fuzzy relations based on a binary operation *. We discuss the dependences between algebraic properties of the operation * and the induced sup - * composition. It is examined independently for monotone operations, for operations with idempotent, zero or identity element, for distributive and associative operations. Finally, we present consequences of these results for compositions based on triangular norms, triangular conorms and uninorms.