Generalized fuzzy bi-ideals of semigroups |
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Authors: | Osman Kazanc? Sultan Yamak |
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Affiliation: | (1) Department of Mathematics, Karadeniz Technical University, 61080 Trabzon, Turkey |
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Abstract: | After the introduction of fuzzy sets by Zadeh, there have been a number of generalizations of this fundamental concept. The
notion of (∈, ∈ ∨q)-fuzzy subgroups introduced by Bhakat is one among them. In this paper, using the relations between fuzzy points and fuzzy
sets, the concept of a fuzzy bi-ideal with thresholds is introduced and some interesting properties are investigated. The
acceptable nontrivial concepts obtained in this manner are the (∈, ∈ ∨q)-fuzzy bi-ideals and -fuzzy bi-ideals, which are extension of the concept of a fuzzy bi-ideal in semigroup. |
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Keywords: | Fuzzy subsemigroup Belong to Quasi-coincident with (∈ ∈ ∨ q)-fuzzy bi-ideals -fuzzy bi-ideals" target="_blank">gif" alt="$$(\overline{\in} \overline{\in} \vee\overline{q})$$" align="middle" border="0">-fuzzy bi-ideals |
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