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http://dx.doi.org/10.5391/JKIIS.2005.15.6.771

INTUITIONISTIC FUZZY REES CONGRUENCES ON A SEMIGROUP  

Ahn, Young-Sin (Department of Computer Information, Dong Kang College)
Hur, Kul (Division of Mathematics and Informational Statistic, Wonkwang University)
Ryou, Jang-Hyun (Bong Young Girls' Middle School)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.15, no.6, 2005 , pp. 771-779 More about this Journal
Abstract
We introduce two concepts of intuitionistic fuzzy Rees congruence on a semigroup and intuitionistic fuzzy Rees con-gruence semigroup. As an important result, we prove that for a intuitionistic fuzzy Rees congruence semigroup S, the set of all intuitionistic fuzzy ideals of S and the set of all intuitionistic fuzzy congruences on S are lattice isomorphic. Moreover, we show that a homomorphic image of an intuitionistic fuzzy Rees congruence semigroup is an intuitionistic fuzzy Rees congruence semigroup.
Keywords
Intuitionistic fuzzy ideal; intuitionistic fuzzy congruence; intuitionistic fuzzy Rees congruence; intoitionistic fuzzy congruence semigroup;
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