New Family of Neutrosophic Soft Sets (original) (raw)
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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.
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...
Neutrosophic Soft alpha−alpha-alpha−Open Set in Neutrosophic Soft Topological Spaces
2020
In this paper, the notion of generalized neutrosophic soft open set (GNSOS) in neutrosophic soft open set (GNSOS) in neutrosophic soft topological structures relative to neutrosophic soft points is introduced.The concept of generalized neutrosophic soft separation axioms in neutrosophic soft topological spaces with respect to soft points. Several related properties, structural characteristics have been investigated. Then the convergence of sequence in neutrosophic soft topological space is defined and its uniqueness in generalized neutrosophic soft Hausdorff space (GNSHS) relative to soft points is examined. Neutrosophic monotonous soft function and its characteristics are switched over to different results. Lastly, generalized neutrosophic soft product spaces with respect to crisp points have been addressed.
University of Thi-Qar Journal, 2019
The purpose of this paper is to introduce the notion of fuzzy neutrosophic soft ideal in fuzzy neutrosophic soft set theory. The concept of fuzzy neutrosophic soft local function is also introduced. These concepts are discussed with a view to find new fuzzy neutrosophic soft topologies from the original one. The basic structure, especially a basis for such generated fuzzy neutrosophic soft topologies also studied here. Finally, the notion of compatibility of fuzzy neutrosophic soft ideals with fuzzy neutrosophic soft topologies is introduced and some equivalent conditions concerning this topic are established here.
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.
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.
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 soft δ–topology and neutrosophic soft compactness
THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019), 2019
We introduce the concepts of neutrosophic soft δ−interior, neutrosophic soft quasicoincidence, neutrosophic soft qneighborhood, neutrosophic regular open soft set, neutrosophic soft δ−closure, neutrosophic soft θ−closure, neutrosophic semi open soft set and show that the set of all neutrosophic soft δ−open sets is also a neutrosophic soft topology, which is called the neutrosophic soft δ−topology. We obtain equivalent forms of neutrosophic soft δ−continuity. Moreover, the notions of neutrosophic soft δ−compactness and neutrosophic soft locally δ−compactness are defined and their basic properties under neutrosophic soft δ−continuous mappings are investigated.
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.