On measures of parameterized fuzzy compactness

Çetkin, Vildan

doi:10.1063/1.5136112

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Relations Between Parameterized Degree Of Compactness and Bo...2

Preliminaries1

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2021

2022

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Cited by 2 publications

(3 citation statements)

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“…Theorem 4.2. ( [10]) Let (X, τ) be an (L, M)-fuzzy (E, K)-soft topological space and ( , E), (h, E) ∈ FS(X, E). Then the following inequality is satisfied for each k ∈ K,…”

Section: Relations Between Parameterized Degree Of Compactness and Bo...mentioning

confidence: 99%

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Bornological spaces in the context of fuzzy soft sets

Çetkin

2022

Filomat

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The aim of this study is to present the concept of an (L,M)-fuzzy (E,K)-soft bornology as a parameterized extension of the LM-valued bornology. By this way, we describe the notions of boundedness and the parameterized degree of boundedness for L-fuzzy soft sets. We examine several fundamental properties of the proposed structures. In addition, we induce a (2,M)-fuzzy (E,K)-soft bornology in a given (2,M)-fuzzy (E,K)-soft topological space with the help of the measures of compactness of a soft set.

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“…Theorem 4.2. ( [10]) Let (X, τ) be an (L, M)-fuzzy (E, K)-soft topological space and ( , E), (h, E) ∈ FS(X, E). Then the following inequality is satisfied for each k ∈ K,…”

Section: Relations Between Parameterized Degree Of Compactness and Bo...mentioning

confidence: 99%

“…Theorem 4.3. ( [10]) Let ϕ ψ,η : (X 1 , τ 1 ) → (X 2 , τ 2 ) be a continuous fuzzy soft mapping between (L, M)-fuzzy…”

Section: Relations Between Parameterized Degree Of Compactness and Bo...mentioning

confidence: 99%

Bornological spaces in the context of fuzzy soft sets

Çetkin

2022

Filomat

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“…en, the mapping I is an L-fuzzy (E, K)-soft interior operator on X, which is called the L-fuzzy (E, K)-soft interior operator induced by τ. Definition 12 (see [22]). Let (X, τ) be an L-fuzzy (E, K)-soft topological space.…”

Section: Preliminariesmentioning

confidence: 99%

Gradation of Continuity for Fuzzy Soft Mappings

Çetkin

2021

Journal of Mathematics

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This paper is devoted to describe the notion of a parameterized degree of continuity for mappings between L -fuzzy soft topological spaces, where L is a complete De Morgan algebra. The degrees of openness, closedness, and being a homeomorphism for the fuzzy soft mappings are also presented. The properties and characterizations of the proposed notions are pictured. Besides, the degree of continuity for a fuzzy soft mapping is unified with the degree of compactness and connectedness in a natural way.

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On measures of parameterized fuzzy compactness

Cited by 2 publications

References 13 publications

Bornological spaces in the context of fuzzy soft sets

Bornological spaces in the context of fuzzy soft sets

Gradation of Continuity for Fuzzy Soft Mappings

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