On r-Generalized Fuzzy â„“-Closed Sets: Properties and Applications

I. M. Taha and Ljubisa Kocinac

Journal of Mathematics, 2021, vol. 2021, 1-8

Abstract: In the present study, we introduce and characterize the class of r-generalized fuzzy ℓ-closed sets in a fuzzy ideal topological space X,τ,ℓ in Šostak sense. Also, we show that r-generalized fuzzy closed set by Kim and Park (2002) ⟹r-generalized fuzzy ℓ-closed set, but the converse need not be true. Moreover, if we take ℓ=ℓ0, the r-generalized fuzzy ℓ-closed set and r-generalized fuzzy closed set are equivalent. After that, we define fuzzy upper (lower) generalized ℓ-continuous multifunctions, and some properties of these multifunctions along with their mutual relationships are studied with the help of examples. Finally, some separation axioms of r-generalized fuzzy ℓ-closed sets are introduced and studied. Also, the notion of r-fuzzy G∗-connected sets is defined and studied with help of r-generalized fuzzy ℓ-closed sets.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4483481

DOI: 10.1155/2021/4483481

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