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Neutrosophic Topological Groups

Neutrosophic Topological Groups
Author: Moiz ud Din Khan
Publisher: Infinite Study
Total Pages: 14
Release:
Genre:
ISBN:

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In this work we continue the study of topological group structure of neutrosophic sets. Some basic properties of neutrosophic topological groups are investigated by giving an alternate de…nition for neutrosophic topological group. It is proved that automorphism of neutrosophic topological groups is neutrosophic homeomorphism.


On Some Types of Neutrosophic Topological Groups with Respect to Neutrosophic Alpha Open Sets

On Some Types of Neutrosophic Topological Groups with Respect to Neutrosophic Alpha Open Sets
Author: Qays Hatem Imran
Publisher: Infinite Study
Total Pages: 10
Release:
Genre: Mathematics
ISBN:

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In this article, we presented eight different types of neutrosophic topological groups, each of which depends on the conceptions of neutrosophic alpha-open sets and neutrosophic alpha-continuous functions. Also, we found the relation between these types, and we gave some properties on the other side.


On Some Properties of Plithogenic Neutrosophic Hypersoft Almost Topological Group

On Some Properties of Plithogenic Neutrosophic Hypersoft Almost Topological Group
Author: Bhimraj Basumatary
Publisher: Infinite Study
Total Pages: 11
Release: 2021-06-02
Genre: Mathematics
ISBN:

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The main objective of this study is to introduce the notion of plithogenic neutrosophic hypersoft almost topological group. We have defined some new concepts and investigated properties of regularly open set and regularly closed set and then we observed the definitions of plithogenic neutrosophic hypersoft closed mapping, open mapping and finally we have defined the definition of plithogenic neutrosophic hypersoft almost continuous mapping. By observing the definition of plithogenic neutrosophic hypersoft almost continuous mapping we have studied neutrosophic hypersoft topological group and plithogenic neutrosophic hypersoft almost topological group and some of their properties.


Certain Notions of Neutrosophic Topological K-Algebras

Certain Notions of Neutrosophic Topological K-Algebras
Author: Muhammad Akram
Publisher: Infinite Study
Total Pages: 15
Release:
Genre: Mathematics
ISBN:

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The concept of neutrosophic set from philosophical point of view was first considered bySm arandache. A single-valued neutrosophic set is a subclass of the neutrosophic set from a scientific and engineering point of view and an extension of intuitionistic fuzzy sets. In this research article, we apply the notion of single-valued neutrosophic sets to K-algebras. We introduce the notion of single-valued neutrosophic topological K-algebras and investigate some of their properties. Further, we study certain properties, including C5-connected, super connected, compact and Hausdorff, of single-valued neutrosophic topological K-algebras. We also investigate the image and pre-image of single-valued neutrosophic topological K-algebras under homomorphism.


A Study on Neutrosophic Bitopological Group

A Study on Neutrosophic Bitopological Group
Author: Bhimraj Basumatary
Publisher: Infinite Study
Total Pages: 15
Release: 2020-12-01
Genre: Mathematics
ISBN:

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In this paper we try to introduce neutrosophic bitopological group. We try to investigate some new definition and properties of neutrosophic bitopological group.


Further Theory of Neutrosophic Triplet Topology and Applications

Further Theory of Neutrosophic Triplet Topology and Applications
Author: Mohammed A. Al Shumrani
Publisher: Infinite Study
Total Pages: 12
Release:
Genre: Mathematics
ISBN:

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In this paper we study and develop the Neutrosophic Triplet Topology (NTT) that was recently introduced by Sahin et al. Like classical topology, the NTT tells how the elements of a set relate spatially to each other in a more comprehensive way using the idea of Neutrosophic Triplet Sets.


NEUTROSOPHIC TRIPLET STRUCTURES, Volume I

NEUTROSOPHIC TRIPLET STRUCTURES, Volume I
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 21
Release:
Genre: Mathematics
ISBN:

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In this chapter, we introduce neutrosophic triplet cosets for neutrosophic triplet G-module and neutrosophic triplet quotient G-module. Then, we give some definitions and examples for neutrosophic triplet quotient G-module and neutrosophic triplet cosets. Also, we obtain isomorphism theorems for neutrosophic triplet G-modules and we prove isomorphism theorems for neutrosophic triplet G-modules.


Continuous and Irresolute Functions in Neutrosophic Topological Spaces

Continuous and Irresolute Functions in Neutrosophic Topological Spaces
Author: K. Damodharan
Publisher: Infinite Study
Total Pages: 14
Release: 2020-12-01
Genre: Mathematics
ISBN:

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In this paper, the notions of continuous and irresolute functions in neutrosophic topological spaces are given. Furthermore, we analyze their characterizations and investigate their properties.


Neutrosophic Sets and Systems, Vol. 38, 2020

Neutrosophic Sets and Systems, Vol. 38, 2020
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 662
Release:
Genre: Mathematics
ISBN:

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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.


Neutrosophic Topological Spaces

Neutrosophic Topological Spaces
Author: Murad Arar
Publisher: Infinite Study
Total Pages: 16
Release: 2020-12-01
Genre: Mathematics
ISBN:

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In this paper, the concept of neutrosophic topological spaces is introduced. We define and study the properties of neutrosophic open sets, closed sets, interior and closure. The set of all generalize neutrosophic pre-closed sets GNPC and the set of all neutrosophic open sets in a neutrosophic topological space can be considered as examples of generalized neutrosophic topological spaces.