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Generalized fuzzy sets in UP-algebras

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Based on the theory of fuzzy sets, the notion of fuzzy UP-subalgebras (resp., fuzzy UP-filters, fuzzy UP-ideals, fuzzy strongly UP-ideals) with thresholds of UP-algebras is introduced, some properties of them are discussed, and its generalizations are proved. Further, we discuss the relations between fuzzy UP-subalgebras (resp., fuzzy UP-filters, fuzzy UP-ideals, fuzzy strongly UP-ideals) with thresholds and their level subsets.

Abstract

Based on the theory of fuzzy sets, the notion of fuzzy UP-subalgebras (resp., fuzzy UP-filters, fuzzy UP-ideals, fuzzy strongly UP-ideals) with thresholds of UP-algebras is introduced, some properties of them are discussed, and its generalizations are proved. Further, we discuss the relations between fuzzy UP-subalgebras (resp., fuzzy UP-filters, fuzzy UP-ideals, fuzzy strongly UP-ideals) with thresholds and their level subsets.

참고문헌 (17)

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