Neighborhood structures of fuzzy soft topological spaces

Varol, Banu Pazar; Aygünoğlu, Abdülkadir; Aygün, Halis

doi:10.3233/ifs-141177

Cited by 7 publications

(5 citation statements)

References 28 publications

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“…Ten, (1) f T is called a null (resp universal) FS-set, symbolized by 􏽥 0 T (resp. 􏽥 [22][23][24]). An FS-pointx z α over X is an FSset over X defned by,…”

Section: Basic Definitions and Resultsmentioning

confidence: 99%

“…(2) ϑ is closed under arbitrary union and fnite intersection Defnition 6 (see [22,24,25]). Te FS sets f T and g T are called quasi-coincident, symbolized by f T qg T if there exist t ∈ T, x ∈ X such that, f(t)(x) + g(t)(x) > 1.…”

Section: Basic Definitions and Resultsmentioning

confidence: 99%

“…Defnition 7 (see [15,24]). An FS-setf T of (X, ϑ, T) is called Q-neighborhood (briefy, q-nbd) of x z α if there exists a fuzzy soft open set (FSO-set) g T such that x z α qg T ⊑ f T .…”

Section: Basic Definitions and Resultsmentioning

confidence: 99%

See 2 more Smart Citations

On Some New Types of Fuzzy Soft Compact Spaces

Saleh

Al-shami

Mhemdi

2023

Journal of Mathematics

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In this article, we apply the concept of fuzzy soft δ -open sets to define new types of compactness in fuzzy soft topological spaces, namely, δ -compactness and δ ∗ -compactness. We explore some of their basic properties and reveal the relationships between these types and that which are defined by other authors. Also, we show that δ ∗ -compactness is more general than that which is presented in other papers. To clarify the obtained results and relationships, some illustrative examples are given.

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“…Ten, (1) f T is called a null (resp universal) FS-set, symbolized by 􏽥 0 T (resp. 􏽥 [22][23][24]). An FS-pointx z α over X is an FSset over X defned by,…”

Section: Basic Definitions and Resultsmentioning

confidence: 99%

Section: Basic Definitions and Resultsmentioning

confidence: 99%

See 1 more Smart Citation

On Some New Types of Fuzzy Soft Compact Spaces

Saleh

Al-shami

Mhemdi

2023

Journal of Mathematics

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“…Extensions of soft set have been proposed recently such as fuzzy soft set [7], intuitionistic fuzzy soft set [8], vague soft set [21], bipolar fuzzy soft set [1]. Topological structures of soft set ( [4], [5], [11], [18], [20], [27]) fuzzy soft set ( [12], [13], [14], [19]), intuitonistic fuzzy soft set( [6], [16], [17]) were defined by many researches.…”

Section: Intoductionmentioning

confidence: 99%

Intuitionistic Fuzzy Soft Topology via Neighborhood

Varol

2023

Maltepe Journal of Mathematics

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In this paper, we bring out some properties of intuitionistic fuzzy soft topology by using the concept of neighborhood. Firstly, we introduce the concept of intuitionistic fuzzy soft point differently from the previous published papers which is related to intuitonistic fuzzy soft point and study some of its basic properties. We also generate an intuitonistic fuzzy soft topology by using the systems of neighborhood and discuss certain properties of intuitonistic fuzzy soft topology including continuous mapping.

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“…They also suggested a new definition for the fuzzy soft point and then different neighborhood structures. Separation axioms of the fuzzy topological space and fuzzy soft topological space were studied by many authors, see [18][19][20][21][22][23] and [24][25][26][27]. The aim of this work is to develop interval-valued fuzzy soft separation axioms.…”

Section: Introductionmentioning

confidence: 99%