SOME INTUITIONISTIC FUZZY CONGRUENCES
نویسندگان
1 Division of Mathematics and Informational Statistics, and Institute of Basic Natural Science, Wonkwang University, Iksan, Chonbuk, Korea 570- 749
2 Division of Mathematics and Informational Statistics, and Institute of Basic Natural Science, Wonkwang University, Iksan, Chonbuk, Korea 570- 749
3 Dept. of Mathematics Education, Woosuk University, Hujong-Ri Samrae-Eup, Wanju-kun Chonbuk, Korea 565-701
doi
10.22111/ijfs.2006.436چکیده
First, we introduce the concept of intuitionistic fuzzy group congruenceand we obtain the characterizations of intuitionistic fuzzy group congruenceson an inverse semigroup and a T^{*}-pure semigroup, respectively. Also,we study some properties of intuitionistic fuzzy group congruence. Next, weintroduce the notion of intuitionistic fuzzy semilattice congruence and we givethe characterization of intuitionistic fuzzy semilattice congruence on a T^{*}-puresemigroup. Finally, we introduce the concept of intuitionistic fuzzy normalcongruence and we prove that (IFNC(E_{S}), $\cap$, $\vee$) is a complete lattice. Andwe find the greatest intuitionistic fuzzy normal congruence containing an intuitionisticfuzzy congruence on E_{S}.
