SOME INTUITIONISTIC FUZZY CONGRUENCES

Authors

  • Hee won Kang Dept. of Mathematics Education, Woosuk University, Hujong-Ri Samrae-Eup, Wanju-kun Chonbuk, Korea 565-701
  • Kul Hur Division of Mathematics and Informational Statistics, and Institute of Basic Natural Science, Wonkwang University, Iksan, Chonbuk, Korea 570- 749
  • Su Youn Jang Division of Mathematics and Informational Statistics, and Institute of Basic Natural Science, Wonkwang University, Iksan, Chonbuk, Korea 570- 749
Abstract:

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}.

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Journal title

volume 3  issue 1

pages  45- 57

publication date 2006-04-10

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