Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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FUZZY FOLDNESS OF IMPLICATIVE ORDERED FILTERS IN IMPLICATIVE SEMIGROUPS

  • Jun, Young-Bae (Department of Mathematics Education and (RINS) Gyeongsang National University) ;
  • Park, Chul-Hwan (Department of Mathematics University of Ulsan)
  • Received : 2007.04.03
  • Accepted : 2007.05.28
  • Published : 2007.06.25
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Abstract

The notion of fuzzy n-fold implicative ordered filters in implicative semigroups is introduced, and related properties are investigated. Relations between fuzzy ordered filters and fuzzy n-fold implicative ordered filters are provided. Characterizations of a fuzzy n-fold implicative ordered filter are given, and an extension property for a fuzzy n-fold implicative ordered filter is obtained.

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References

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