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Tripolar fuzzy interior ideals of semirings

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In this paper, we introduce the notion of tripolar fuzzy set to be able to deal with tripolar information as a generalization of fuzzy set, bipolar fuzzy set and intuitionistic fuzzy set. The tripolar fuzzy set representation is very useful in discriminating relevant elements, irrelevant elements and contrary elements.We also introduce the notion of tripolar fuzzy ideal and tripolar fuzzy interior ideal of semiring. We study some of their algebraic properties, relations between them and characterization of tripolar fuzzy interior ideals are given. |