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Generalized fuzzy interior ideals in semigroups. (English) Zbl 1102.20058

Summary: Using the idea of quasi-coincidence of a fuzzy point with a fuzzy set, the concept of an \((\alpha,\beta)\)-fuzzy interior ideal, which is a generalization of a fuzzy interior ideal, in a semigroup is introduced, and related properties are investigated.

MSC:

20N25 Fuzzy groups
20M12 Ideal theory for semigroups
03E72 Theory of fuzzy sets, etc.
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