# SOME INTUITIONISTIC FUZZY CONGRUENCES

Document Type : Research Paper

Authors

1 Division of Mathematics and Informational Statistics, and Institute of Basic Natural Science, Wonkwang University, Iksan, Chonbuk, Korea 570- 749

2 Dept. of Mathematics Education, Woosuk University, Hujong-Ri Samrae-Eup, Wanju-kun Chonbuk, Korea 565-701

Abstract

First, we introduce the concept of intuitionistic fuzzy group congruence
and we obtain the characterizations of intuitionistic fuzzy group congruences
on an inverse semigroup and a T^{*}-pure semigroup, respectively. Also,
we study some properties of intuitionistic fuzzy group congruence. Next, we
introduce the notion of intuitionistic fuzzy semilattice congruence and we give
the characterization of intuitionistic fuzzy semilattice congruence on a T^{*}-pure
semigroup. Finally, we introduce the concept of intuitionistic fuzzy normal
congruence and we prove that (IFNC(E_{S}), \$\cap\$, \$\vee\$) is a complete lattice. And
we find the greatest intuitionistic fuzzy normal congruence containing an intuitionistic
fuzzy congruence on E_{S}.

Keywords

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