Fuzzy positive implicative ordered filters of implicative semigroups

Young Bae Jun, Young Hee Kim and Hee Sik Kim

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 32, 1-8

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.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:472873

DOI: 10.1155/S0161171202109045

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