Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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FURTHER RESULTS OF INTUITIONISTIC FUZZY COSETS

  • HUR, KUL (Division of Mathematics and Informational Statistics Wonkwang University) ;
  • KANG, HEE WON (Dept. of Mathematics Education Woosuk University) ;
  • KIM, DAE SIG (Dept. of Digital Contents Dongshin University)
  • Received : 2005.03.24
  • Published : 2005.09.25
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Abstract

First, we prove a number of results about intuitionistic fuzzy groups involving the notions of intuitionistic fuzzy cosets and intuitionistic fuzzy normal subgroups which are analogs of important results from group theory. Also, we introduce analogs of some group-theoretic concepts such as characteristic subgroup, normalizer and Abelian groups. Secondly, we prove that if A is an intuitionistic fuzzy subgroup of a group G such that the index of A is the smallest prime dividing the order of G, then A is an intuitionistic fuzzy normal subgroup. Finally, we show that there is a one-to-one correspondence the intuitionistic fuzzy cosets of an intuitionistic fuzzy subgroup A of a group G and the cosets of a certain subgroup H of G.

Keywords

References

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