Neutrosophic soft δ-topology and neutrosophic soft δ-compactness

Açıkgöz, Ahu; Esenbel, Ferhat

doi:10.2298/fil2010441a

Cited by 3 publications

(2 citation statements)

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“…Then, (X, τ, E) is said to be a neutrosophic soft topological space over X. Each member of τ is said to be a neutrosophic soft open set [3]. Definition 2.11.…”

Section: Definition 28 ([8]mentioning

confidence: 99%

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Neutrosophic soft semi-regularization and neutrosophic soft sub-maximality

Açıkgöz

Esenbel

2022

Filomat

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In this study, our target point is to focus on neutrosophic soft semi-regularization spaces connected with neutrosophic soft topological spaces and examine their properties. First, we define the neutrosophic soft sub-maximal space and present the evidences for the existence of a neutrosophic soft sub-maximal space for every neutrosophic soft topological space. In this document, we focused on the relationship of neutrosophic soft sub-maximal spaces and neutrosophic soft semi-regular spaces with these spaces. Also, we find that this relationship is very close and it is minimal or maximal depending on some definite properties which are called neutrosophic soft semi-regular properties. This led us to examine the semi-regularity of different properties. After all, we introduced some types of functions in neutrosophic soft topological spaces that correspond with some types of functions previously defined in many topological spaces of different types and revealed the behaviours of these functions according to the cases where their domain or codomain spaces are replaced by their semi-regularization spaces.

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“…Then, (X, τ, E) is said to be a neutrosophic soft topological space over X. Each member of τ is said to be a neutrosophic soft open set [3]. Definition 2.11.…”

Section: Definition 28 ([8]mentioning

confidence: 99%

“…This new type of topological space has provided an opportunity for mathematicians to come up with new ideas. In particular , Acikgoz and Esenbel made good use of this new opportunity in their studies as in [3,4]. The main purpose of this study is to interpret these new ideas in neutrosophic soft topological spaces.…”

Section: Introductionmentioning

confidence: 99%

Neutrosophic soft semi-regularization and neutrosophic soft sub-maximality

Açıkgöz

Esenbel

2022

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Neutrosophic compactness via summability and sequential definitions of connectedness in neutrosophic spaces

Acikgoz,

Çakallı,

Esenbel

2023

Filomat

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In this study, using the concept of the neutrosophic method introduced earlier, as done in different types of topological spaces, a new type of sequential compactness is introduced and investigated. After giving various definitions which constitute the cornerstones of our research, in the third section, a new perspective to the concept of connectedness is brought, which is among the most important characters of the topology world, based on the concept of the neutrosophic method. By giving examples of each new definition given in the second and third sections, a better understanding of the new concepts given is provided.

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