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Invariant fuzzy implications

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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.

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

    Józef Drewniak

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  1. Józef Drewniak
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Correspondence to Józef Drewniak.

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Drewniak, J. Invariant fuzzy implications. Soft Comput 10, 506–513 (2006). https://doi.org/10.1007/s00500-005-0526-4

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  • DOI: https://doi.org/10.1007/s00500-005-0526-4

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