Title of article :
SOME INTUITIONISTIC FUZZY CONGRUENCES
Author/Authors :
Kul Hur، Kul Hur نويسنده Division of Mathematics and Informational Statistics, and Institute of Basic Natural Science, Wonkwang University, Iksan, Chonbuk, Korea , , Su Youn Jang، Su Youn Jang نويسنده Division of Mathematics and Informational Statistics, and Institute of Basic Natural Science, Wonkwang University, Iksan, Chonbuk, Korea , , Hee won Kang، Hee won Kang نويسنده Dept. of Mathematics Education, Woosuk University, Hujong-Ri Samrae-Eup, Wanju-kun Chonbuk, Korea ,
Issue Information :
دوفصلنامه با شماره پیاپی 0 سال 2006
Abstract :
ابتدا مفهوم گروه همنهشتي فازي شهودي را معرفي و گروه همنهشتي هاي فازي شهودي را روي يك نيم گروه وارون و يك نيم گروه - محض را، به ترتيب، مشخص مي كنيم . همچنين، بعضي از خواص گروه همنهشتي فازي شهودي را مورد مطالعه قرار مي دهيم. سپس، مفهوم نيم مشبكه همنهشتي فازي شهودي را معرفي و نيم مشبكه همنهشتي فازي شهودي را روي نيم گروه محض مشخص مي كنيم. نهايتا"، مفهوم همنهشتي نرمال فازي شهودي را معرفي كرده و ثابت مي كنيم، يك مشبكه كامل است و بزرگترين همنهشتي نرمال فازي شهودي را كه شامل يك همنهشتي فازي روي است مي يابيم.
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(ES), \, _) is a complete lattice. And
we find the greatest intuitionistic fuzzy normal congruence containing an intuitionistic
fuzzy congruence on ES.
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
