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International Journal of Fuzzy Systems EISCIEScopus

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篇名 More General Forms of Interval Valued Fuzzy Filters of Ordered Semigroups
卷期 15:2
作者 Bijan DavvazAsghar KhanNor Haniza SarminHidayatullah Khan
頁次 110-126
關鍵字 semigroupfilterordered semigroupfuzzy setinterval valued fuzzy setEISCISCIEScopus
出刊日期 201306

中文摘要

英文摘要

In mathematics, an ordered semigroup is a semigroup together with a partial order that is compatible with the semigroup operation. Ordered semigroups have many applications in the theory of sequential machines, formal languages, computer arithmetics, and error-correcting codes. In this article, we try to obtain a more general form than interval valued (科學符號) -fuzzy left (right) filters in ordered semigroups. The notion of an interval valued (科學符號)-fuzzy left (right) filter is introduced, and several properties are investigated. Characterizations of an interval valued (科學符號)-fuzzy left (right) filter are established. A condition for an interval valued (科學符號)-fuzzy left (right) filter to be an interval valued fuzzy left (right) filter is provided. Using implication operators and the notion of implication-based interval valued fuzzy left (resp. right) filters, characterizations of an interval valued fuzzy left (resp. right) filter and an interval valued (科學符號)-fuzzy left (resp. right) filter are considered.

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