篇名 | More General Forms of Interval Valued Fuzzy Filters of Ordered Semigroups |
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卷期 | 15:2 |
作者 | Bijan Davvaz 、 Asghar Khan 、 Nor Haniza Sarmin 、 Hidayatullah Khan |
頁次 | 110-126 |
關鍵字 | semigroup 、 filter 、 ordered semigroup 、 fuzzy set 、 interval valued fuzzy set 、 EI 、 SCI 、 SCIE 、 Scopus |
出刊日期 | 201306 |
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.