Fuzzy positive implicative ordered filters of implicative semigroups

Young Bae Jun, Young Hee Kim, Hee Sik Kim

Research output: Contribution to journalArticle

1 Citation (Scopus)

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.

Original languageEnglish
Pages (from-to)263-270
Number of pages8
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume32
Issue number5
DOIs
StatePublished - 2002 Jan 1

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Fuzzy positive implicative ordered filters of implicative semigroups. / Jun, Young Bae; Kim, Young Hee; Kim, Hee Sik.

In: International Journal of Mathematics and Mathematical Sciences, Vol. 32, No. 5, 01.01.2002, p. 263-270.

Research output: Contribution to journalArticle

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