Invariant fuzzy implications

Authors:
Józef Drewniak
Affiliations:
Institute of Mathematics, University of Rzeszów, Rejtana 16A, 35-310, Rzeszów, Poland
Venue:
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Year:
2006

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Cited 2

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Abstract

Paper deals with fuzzy implications invariant with respect to the family of all increasing bijections in [0,1]. We describe the family of all such fuzzy implications which forms a distributive lattice. The classical implication axioms are verified in this family.