[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5391/IJFIS.2007.7.1.007

A NEW APPROACH TO FUZZY CONGRUENCES

Hur, Kul (Division of Mathematics and Informational Statistics, Wonkwang University)
Jang, Su-Youn (Division of Mathematics and Informational Statistics, Wonkwang University)
Lee, Keon-Chang (Department of Computer Science, Dongshin Universuty)

Publication Information

International Journal of Fuzzy Logic and Intelligent Systems / v.7, no.1, 2007 , pp. 7-16 More about this Journal

Abstract

First, we investigate fuzzy equivalence relations on a set X in the sense of Youssef and Dib. Second, we discuss fuzzy congruences generated by a given fuzzy relation on a fuzzy groupoid. In particular, we obtain the characterizations of ${\rho}\;o\;{\sigma}{\in}$ FC(S) for any two fuzzy congruences ${\rho}\;and\;{\sigma}$ on a fuzzy groupoid ( $S,{\odot}$ ). Finally, we study the lattice of fuzzy equivalence relations (congruences) on a fuzzy semigroup and give certain lattice theoretic properties.

Keywords

fuzzy function; fuzzy(equivalence) relation; fuzzy binary generation; fuzzy groupoid; fuzzy semigroup; fuzzy congruence; (modular) lattice;

Citations & Related Records

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