Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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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)
  • Published : 2005.12.01
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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.

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