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A note on congruence permutability and fuzzy logic

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Abstract

We study congruence permutability of algebras with fuzzy equalities. The notion of degree of congruence permutability naturally arises in this context. We present a Mal'cev-like characterization of congruence permutable varieties of algebras with fuzzy equalities. Our note presents a way to generalize various congruence conditions from the point of view of fuzzy logic.

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Authors and Affiliations

  1. Department Computer Science, Palacký University, Tomkova 40, CZ-779 00, Olomouc, Czech Republic

    Vilém Vychodil

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  1. Vilém Vychodil
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Correspondence to Vilém Vychodil.

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Vychodil, V. A note on congruence permutability and fuzzy logic. Soft Comput 10, 279–284 (2006). https://doi.org/10.1007/s00500-005-0508-6

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  • DOI: https://doi.org/10.1007/s00500-005-0508-6

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