Neutrosophic Soft alpha−alpha-alphaOpen Set in Neutrosophic Soft Topological Spaces (original) (raw)

Some Results in Neutrosophic Soft Topology Concerning Neutrosophic Soft ∗ b Open Sets

Journal of Function Spaces, 2021

In this article, new generalised neutrosophic soft open known as neutrosophic soft ∗ b open set is introduced in neutrosophic soft topological spaces. Neutrosophic soft ∗ b open set is generated with the help of neutrosophic soft semiopen and neutrosophic soft preopen sets. Then, with the application of this new definition, some soft neutrosophical separation axioms, countability theorems, and countable space can be Hausdorff space under the subjection of neutrosophic soft sequence which is convergent, the cardinality of neutrosophic soft countable space, engagement of neutrosophic soft countable and uncountable spaces, neutrosophic soft topological features of the various spaces, soft neutrosophical continuity, the product of different soft neutrosophical spaces, and neutrosophic soft countably compact that has the characteristics of Bolzano Weierstrass Property (BVP) are studied. In addition to this, BVP shifting from one space to another through neutrosophic soft continuous funct...

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

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2020

In this study, we introduce the concept of neutrosophic soft preopen (neutrosophic soft pre-closed) sets and pre-separation axioms in neutrosophic soft topological spaces. In particular, the relationship between these separation axioms are investigated. Also, we give a new de…nition for neutrosophic soft topological subspace and de…ne neutrosophic soft pre irresolute soft and neutrosophic pre irresolute open soft functions.

Generalized Neutrosophic Separation Axioms in Neutrosophic Soft Topological Spaces

2020

The idea of neutrosophic set was floated by Smarandache by considering a truth membership, an indeterminacy membership and a falsehood or falsity membership functions. The engagement between neutrosophic set and soft set was done by Maji. More over it was used effectively to model uncertainty in different areas of application, such as control, reasoning, pattern recognition and computer vision. The first aim of this paper leaks out the notion of neutrosophic soft p-open set,neutrosophic soft p-closed sets and their important characteristics. Also the notion of neutrosophic soft p-neighborhood and neutrosophic soft p-separation axioms in neutrosophic soft topological spaces are developed. Important results are examed marrying to these newly defined notion relative to soft points. The notion of neutrosophic soft p-separation axioms of neutrosophic soft topological spaces is diffused in different results concerning soft points. Furthermore, properties of neutrosophic soft -P -space (i ...

Neutrosophic Simply Soft Open Set in Neutrosophic Soft Topological Space

2020

In this paper, we introduce the notion of Neutrosophic Simply Soft Open (NSS-O) set,<br> Neutrosophic Simply Soft (NSS) compact set in Neutrosophic Soft Topological Spaces (NS-TS) and<br> investigate several properties of it. Also, we furnish the proofs of some theorems associated with<br> NSS-compact spaces. Then, the notion of neutrosophic simply soft continuous (NSS-continuous)<br> mapping, NSS-O mapping on an NS-TS and its properties are developed here.

Soft b-separation axioms in neutrosophic soft topological structures

Annals of Fuzzy Mathematics and Informatics, 2019

The idea of neutrosophic set was floated by Smarandache by supposing a truth membership, an indeterminacy membership and a falsehood or falsity membership functions. Neutrosophic soft sets bonded by Maji have been utilized successfully to model uncertainty in several areas of application such as control, reasoning, pattern recognition and computer vision. The first aim of this article bounces the idea of neutrosophic soft b-open set, neutrosophic soft b-closed sets and their properties. Also the idea of neutrosophic soft b-neighborhood and neutrosophic soft b-separation axioms in neutrosophic soft topological structures are also reflected here. Later on the important results are discussed related to these newly defined concepts with respect to soft points. The concept of neutrosophic soft b-separation axioms of neutrosophic soft topological spaces is diffused in different results with respect to soft points. Furthermore, properties of neutrosophic soft b-Ti-space (i = 0; 1; 2; 3; 4) and some linkage between them are discussed.

Neutrosophic Soft s-Open Sets

Sohag Journal of Mathematics

This paper concerns the study of the notions of neutrosophic soft s-open set, neutrosophic soft s-neighborhood and neutrosophic soft s-separation axioms in neutrosophic soft topological spaces. By using such notions and that of neutrosophic soft point, we study the separation axioms s-T i (with i = 0,. .. 4), the s-regular and the s-normal neutrosophic soft topological spaces by proving some relationships between these classes of spaces and other results concerning hereditary and subspaces.

On Neutrosophic Soft Topological Space

2018

In this paper, the concept of connectedness and compactness<br>on neutrosophic soft topological space have been introduced<br>along with the investigation of their several characteristics. Some related theorems have been established also.

Fuzzy Neutrosophic Soft Topological Spaces

viXra, 2013

The focus of this paper is to propose a new notion of Fuzzy Neutrosophic soft set and to study some basic operations and results in Fuzzy Neutrosophic soft spaces. Further we develop a systematic study on Fuzzy Neutrosophic soft set and obtain various properties induced by them. Some equivalent characterization and inter-relations among them are discussed with counter example.

New Family of Neutrosophic Soft Sets

The goal of this paper is to study and discuss the neutrosophic soft set theory by introducing, new family of neutrosophic soft sets and because the concept of topological spaces is one of the most powerful concepts in system analysis, we introduced the concept of neutrosophic soft topological spaces depending on this the new family. Furthermore, we introduced new definitions, properties, concerning the neutrosophic soft closuer, the neutrosophic soft interior, the neutrosophic soft exterior and the neutrosophic soft boundary in details.

Neutrosophic soft pre-separation axioms

THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019), 2019

In this study, we introduce the concept of neutrosophic soft pre-open (neutrosophic soft pre-closed) sets and preseparation axioms in neutrosophic soft topological spaces. In particular, the relationship between these separation axioms are investigated. Also, we give a new definition for neutrosophic soft topological subspace and define neutrosophic soft pre irresolute soft and neutrosophic pre irresolute open soft functions.