Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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PROPERTIES OF FUZZY TOPOLOGICAL GROUPS AND SEMIGROUPS

  • Chon, Inheung (Department of Mathematics Seoul Women's University)
  • Received : 2000.02.15
  • Published : 2000.09.28
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Abstract

We characterize some basic properties of fuzzy topological groups and semigroups and show that under some conditions in a fuzzy topological group G, $x{\in}\bar{A}$ iff $x{\cap}AU$ for any fuzzy subset A of G and the system {U} of all fuzzy open neighborhoods of the identity e such that $U(e)=1$.

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