• Title/Summary/Keyword: intuitionistic fuzzy quotient group

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INTUITIONISTIC FUZZY TOPOLOGICAL GROUPS

  • HUR, KUL;JUN, YOUNG BAE;RYOU, JANG HYUN
    • Honam Mathematical Journal
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    • v.26 no.2
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    • pp.163-192
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    • 2004
  • In this paper, we introduce the concepts of intuitionistic fuzzy subspaces, intuitionistic fuzzy topological groups and intuitionistic fuzzy quotient groups. And we investigate some of their properties.

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INTUITIONISTIC FUZZY NORMAL SUBGROUPS AND INTUITIONISTIC FUZZY COSETS

  • HUR, KUL;JANG, SU YEON;KANG, HEE WON
    • Honam Mathematical Journal
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    • v.26 no.4
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    • pp.559-587
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    • 2004
  • We study some properties of intuitionistic fuzzy normal subgroups of a group. In particular, we obtain two characterizations of intuitionistic fuzzy normal subgroups. Moreover, we introduce the concept of an intuitionistic fuzzy coset and obtain several results which are analogous of some basic theorems of group theory.

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Intuitionstic Fuzzy Normal Subgroups and Intuitionistic Fuzzy Cosets (직관적 퍼지 정규부분군과 직관적 퍼지 잉여류)

  • Kul Hur;Kang, Hee-Won;Song, Hyeong-Kee
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2004.04a
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    • pp.367-371
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    • 2004
  • We study some properties of intuitionistic fuzzy normal subgroups of a group. In particular, we obtain two characterizations of intuitionistic fuzzy normal subgroups. Moreover, we introduce the concept of an intuitionistic fuzzy coset and obtain several results which are analogs of some basic theorems of group theory.

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