DOI QR코드

DOI QR Code

FUZZY FOLDNESS OF IMPLICATIVE ORDERED FILTERS IN IMPLICATIVE SEMIGROUPS

Jun, Young-Bae;Park, Chul-Hwan

  • Received : 2007.04.03
  • Accepted : 2007.05.28
  • Published : 2007.06.25

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.

Keywords

Implicative semigroup;(implicative) ordered filter;fuzzy (implicative) ordered filter;fuzzy n-fold implicative ordered filter

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