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
Pages
13
From page
45
To page
57
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)
Serial Year
2006
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Record number
2251036
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