The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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EXISTENCE OF FUZZY IDEALS WITH ADDITIONAL CONDITIONS IN BCK/BCI-ALGEBRAS

  • Jun, Young-Bae (DEPARTMENT OF MATHEMATICS EDUCATION (AND RINS), GYEONGSANG NATIONAL UNIVERSITY) ;
  • Park, Chul-Hwan (DEPARTMENT OF MATHEMATICS, UNIVERSITY OF ULSAN)
  • Published : 2007.08.31
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Abstract

We give an answer to the following question: Question. Let S be a subset of [0,1] containing a maximal element m > 0 and let C :=$\{I_{t}\;{\mid}\;t{\in}S\}$ be a decreasing chain of ideals of a BCK/BCI-algebra X. Then does there exists a fuzzy ideal ${\mu}(X)=S\;and\;C_{\mu}=C?$.

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