The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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ON n-FOLD IMPLICATIVE VAGUE FILTERS IN BE-ALGEBRAS

  • Park, Sang-Tae (Department of Mathematics Education, Dongguk University) ;
  • Ahn, Sun-Shin (Department of Mathematics Education, Dongguk University)
  • Received : 2011.12.26
  • Accepted : 2012.05.15
  • Published : 2012.05.31
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Abstract

In this paper, we introduce the notion of an implicative vague filter in BE-algebras, and investigate some properties of them. Also we give conditions for a vague set to be an implicative vague filter, and we characterize implicative vague filters in BE-algebras. We define the notion of $n$-fold implicative vague filters in BE-algebras and we give characterizations of $n$-fold implicative vague filters and $n$-fold implicative BE-algebras.

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References

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