Results 1 to 10 of about 1,542,446 (115)
A new class between theta open sets and theta omega open sets [PDF]
Heliyon, 2021 We define θN-closure operator as a new topological operator which lies between the θ-closure and the θω-closure. Some relationships between this new operator and each of θ-closure, θω-closure, and usual closure are obtained.
Samer Al Ghour, Souad Al-Zoubi
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Between μ-b-open sets and μ-β-open sets in generalized topological spaces [PDF]
Heliyon, 2023 We introduce and study a new class of generalized open sets in generalized topological spaces, called μ‾-open sets. μ‾-open sets are strictly placed between μ-b-open sets and μ-β-open sets.
Mohammad S. Sarsak
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Between the Classes of Soft Open Sets and Soft Omega Open Sets
Mathematics, 2022 In this paper, we define the class of soft ω0-open sets. We show that this class forms a soft topology that is strictly between the classes of soft open sets and soft ω-open sets, and we provide some sufficient conditions for the equality of the three ...
Samer Al Ghour
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𝐿-open sets and 𝐿 ∗ -open sets [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2020 As new classes of generalized open sets and generalized continuous functions, the notions of 𝐿-open sets, 𝐿 ∗ -open sets, 𝐿-continuous functions, 𝐿 ∗ -continuous functions and weakly 𝐿 ∗ -continuous functions are introduced and investigated. It is
Samer Al Ghour, Khaled Abufarhan
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Applications of some modified open sets in r-neighbourhood spaces with ideals [PDF]
E3S Web of Conferences, 2023 The purpose of this paper is to introduce r-a-open sets, r-semi open sets and r-pre open sets in ideal r-neighbourhood space. We also discuss their properties, characterizations and relations with existing notions with suitable examples.
Tharmar S. +4 more
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Normed Space of Fuzzy Intervals and Its Topological Structure
Axioms, 2023 The space, Ƒcc(R), of all fuzzy intervals in R cannot form a vector space. However, the space Ƒcc(R) maintains a vector structure by treating the addition of fuzzy intervals as a vector addition and treating the scalar multiplication of fuzzy intervals ...
Hsien-Chung Wu
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On Hypersoft Semi-open Sets [PDF]
Neutrosophic Sets and Systems, 2023 A generalisation of soft sets called a hypersoft set incorporates a multiargument function. The major goal of this study is to provide appropriate examples for the introduction of hypersoft semi-open sets (SOS) and hypersoft semi-closed sets (SCS ...
V. Inthumathi +2 more
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On a class of sets between a-open sets and gδ-open sets
Ratio Mathematica, 2020 In this paper, a new class of sets called Da-open sets are introduced and investigated with the help of gδ-open and δ-closed sets. Relationships between this new class and other related classes of sets are established and as an application Da-continuous ...
Jagadeesh B. Toranagatti
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Ratio Mathematica, 2022 This article elaborates about a novel approach on defining θ-open sets and some of its properties in N-topological space. We establish various continuous maps and discuss the relationship with θ-continuous maps using N-topology.
J Loyala Foresith Spencer +1 more
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Between Open Sets and Semi-Open Sets
Universitas Scientiarum, 2018 We introduce and investigate ωs-open sets as a new class of sets which lies strictly between open sets and semi-open sets. Then we use ωs-open sets to introduce ωs -continuous functions as a new class of functions between continuous functions and semi ...
Samer Al Ghour, Kafa Mansur
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