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Fuzzy positive implicative ordered filters of implicative semigroups

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  • Young Bae Jun
  • Young Hee Kim
  • Hee Sik Kim

Abstract

We consider the fuzzification of the notion of a positive implicative ordered filter in implicative semigroups. We show that every fuzzy positive implicative ordered filter is both a fuzzy ordered filter and a fuzzy implicative ordered filter. We give examples that a fuzzy (implicative) ordered filter may not be a fuzzy positive implicative ordered filter. We also state equivalent conditions of fuzzy positive implicative ordered filters. Finally, we establish an extension property for fuzzy positive implicative ordered filters.

Suggested Citation

  • Young Bae Jun & Young Hee Kim & Hee Sik Kim, 2002. "Fuzzy positive implicative ordered filters of implicative semigroups," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 32, pages 1-8, January.
    • Handle: RePEc:hin:jijmms:472873
    DOI: 10.1155/S0161171202109045
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