Soft Computing

, Volume 10, Issue 3, pp 279–284 | Cite as

A note on congruence permutability and fuzzy logic

Article

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.

Keywords

Fuzzy equality Fuzzy logic Mal'cev-condition Permutability 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  1. 1.Department Computer SciencePalacký UniversityOlomoucCzech Republic

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