Fuzzy ideals of semirings

Using the idea of quasi-coincidence of a fuzzy point with a fuzzy set, the concept of an (α, β)-fuzzy ideal, which is a generalization of a fuzzy ideal, in a semiring is introduced and related properties are investigated. At the following, the concept of fuzzy ideals with thresholds is introduced, and the relationship between logical implication operators and fuzzy ideals with thresholds are analyzed.

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