The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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FILTERS OF BE-ALGEBRAS BASED ON FUZZY SET THEORY

  • Jun, Young Bae (Department of Mathematics Education (and RINS), Gyeongsang National University) ;
  • Ahn, Sun Shin (Department of Mathematics Education, Dongguk University) ;
  • Lee, Kyoung Ja (Department of Mathematics Education, Hannam University)
  • Received : 2012.08.27
  • Accepted : 2013.02.13
  • Published : 2013.02.28
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Abstract

The fuzzification of filters in BE-algebras is discussed. Characterizations of a fuzzy filter of BE-algebras are given. An answer to the following question is provided.

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References

  1. S.S. Ahn & K.S. So: On ideals and upper sets in BE-algerbas, Sci. Math. Jpn. 68 (2008), 279-285.
  2. H.S. Kim & Y.H. Kim: On BE-algerbas. Sci. Math. Jpn. 66 (2007), 113-116.
  3. A. Walendziak: On commutative BE-algerbas. Sci. Math. Jpn. 69 (2007), 281-284.