International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
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UNION OF INTUITIONISTIC FUZZY SUBGROUPS

  • Hur Kul (Research Institute for Basic Sciences Wonkwang University) ;
  • Kang Hee-Won (Dept. of Mathematics Education Woosuk University) ;
  • Ryou Jang-Hyun (Bong Young Girl's Middle School)
  • Published : 2006.03.01
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Abstract

We study the conditions under which a given intuitionistic fuzzy subgroup of a given group can or can not be realized as a union of two proper intuitionistic fuzzy subgroups. Moreover, we provide a simple necessary and sufficient condition for the union of an arbitrary family of intuitionistic fuzzy subgroups to be an intuitionistic fuzzy subgroup. Also we formulate the concept of intuitionistic fuzzy subgroup generated by a given intuitionistic fuzzy set by level subgroups. Furthermore we give characterizations of intuitionistic fuzzy conjugate subgroups and intuitionistic fuzzy characteristic subgroups by their level subgroups. Also we investigate the level subgroups of the homomorphic image of a given intuitionistic fuzzy subgroup.

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