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SOME INTUITIONISTIC FUZZY CONGRUENCES | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 5، دوره 3، شماره 1، تیر 2006، صفحه 45-57 اصل مقاله (207.93 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2006.436 | ||
| نویسندگان | ||
Kul Hur  1؛ Su Youn Jang1؛ Hee won Kang2
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| 1Division of Mathematics and Informational Statistics, and Institute of Basic Natural Science, Wonkwang University, Iksan, Chonbuk, Korea 570- 749 | ||
| 2Dept. of Mathematics Education, Woosuk University, Hujong-Ri Samrae-Eup, Wanju-kun Chonbuk, Korea 565-701 | ||
| چکیده | ||
| 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}. | ||
| کلیدواژه‌ها | ||
| T-pure semigroup؛ Intuitionistic fuzzy set؛ intuitionistic fuzzy congruence؛ intuitionistic fuzzy group congruence؛ intuitionistic fuzzy semilattice congruence؛ intuitionistic fuzzy normal congruence | ||
| مراجع | ||
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