An Approach to Pre-Separation Axioms in Neutrosophic Soft Topological Spaces

Açıkgöz, Ahu; Esenbel, Ferhat

doi:10.31801/cfsuasmas.749946

Cited by 7 publications

(2 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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

Filomat

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 99%

Neutrosophic soft semi-regularization and neutrosophic soft sub-maximality

Açıkgöz

Esenbel

2022

Filomat

Self Cite

View full text Add to dashboard Cite

show abstract

“…Arar and Jafari [3], Arokiarani et al [4], Bageerathi and Puvaneswari [5], Das and Pramanik [6], Imran et al [7], Iswarya and Bageerathi [8], Javyparthasarathy et al [9], Mary and Trinita [10], Narmatha et al [13], and Shanthi et al [16] investigated properties and characterizations of Neutrosophic closed and open sets as well as applications of these Neutrosophic closed and open sets in different notions in Neutrosophic topological spaces. Acikgoz and Esenbel [1], Babu and Aswini [2], Mehmood et al [11], Al-Nafee [12] and Puvaneswari et al [14] investigated properties and characterizations of separation axioms by using different types of Neutrosophic closed sets in Neutrosophic topological spaces. Moldstov introduced soft set theory.…”

Section: Introductionmentioning

confidence: 99%

Neutrosophic Delta Beta Normal Topological Space

Latif¹

2022

Proceedings of the International Conference on Mathematical Sciences and Statistics 2022 (ICMSS 2022)

View full text Add to dashboard Cite

Real-life structures always include indeterminacy. The Mathematical tool which is well known in dealing with indeterminacy is neutrosophic. Smarandache proposed the approach of neutrosophic sets. Neutrosophic sets deal with uncertain data. The notion of neutrosophic sets is generally referred to as the generalization of intuitionistic fuzzy sets. In this paper, we introduce neutrosophic δβ−normal space and strongly neutrosophic δβ−normal space by using neutrosophic δβ−normal sets and neutrosophic δβ−closed sets. We investigate several fundamental properties and characterizations of these spaces as well as their relations among themselves and with already existing spaces.

show abstract

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

Acikgoz,

Çakallı,

Esenbel

2023

Filomat

View full text Add to dashboard Cite

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.

show abstract

An Approach to Pre-Separation Axioms in Neutrosophic Soft Topological Spaces

Cited by 7 publications

References 10 publications

Neutrosophic soft semi-regularization and neutrosophic soft sub-maximality

Neutrosophic soft semi-regularization and neutrosophic soft sub-maximality

Neutrosophic Delta Beta Normal Topological Space

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

Contact Info

Product

Resources

About