Neutrosophic Topological Spaces
Neutrosophic Topological Spaces

Author: Murad Arar

Publisher: Infinite Study

Published: 2020-12-01

Total Pages: 16

ISBN-13:

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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.

New Neutrosophic Sets via Neutrosophic Topological Spaces
New Neutrosophic Sets via Neutrosophic Topological Spaces

Author: Wadei Al-Omeri

Publisher: Infinite Study

Published:

Total Pages: 21

ISBN-13:

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In Geographical information systems (GIS) there is a need to model spatial regions with indeterminate boundary and under indeterminacy. The purpose of this chapter is to construct the basic concepts of the so-called "neutrosophic sets via neutrosophic topological spaces (NTs)".

N-CLOSED SETS IN NEUTROSOPHIC TOPOLOGICAL SPACES
N-CLOSED SETS IN NEUTROSOPHIC TOPOLOGICAL SPACES

Author: K. DAMODHARAN

Publisher: Infinite Study

Published:

Total Pages: 11

ISBN-13:

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In this paper, the authors introduced the concept of neutrosophic g -closed sets in neutrosophic topological spaces. Some of their properties and relations with other existing neutrosophic closed were established, some of its characterizations were also investigated.

Generalized Topological Spaces via Neutrosophic Sets
Generalized Topological Spaces via Neutrosophic Sets

Author: N. Raksha Ben

Publisher: Infinite Study

Published:

Total Pages: 19

ISBN-13:

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In this disquisition we have scrutinize about the traits of generalized topological spaces using neutrosophic sets. Depending on the nature of neutrosophic sets over the generalized topological spaces, some of the features has been contemplated.

On Neutrosophic Semi-Open sets in Neutrosophic Topological Spaces
On Neutrosophic Semi-Open sets in Neutrosophic Topological Spaces

Author: P. Iswarya

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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The purpose of this paper is to define the product related neutrosophic topological space and proved some theorems based on this. We introduce the concept of neutrosophic semiopen sets and neutrosophic semi-closed sets in neutrosophic topological spaces and derive some of their characterization. Finally, we analyze neutrosophic semi-interior and neutrosophic semi-closure operators also.

On Neutrosophic Soft Topological Space
On Neutrosophic Soft Topological Space

Author: Tuhin Bera

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

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In this paper, the concept of connectedness and compactness on neutrosophic soft topological space have been introduced along with the investigation of their several characteristics. Some related theorems have been established also. Then, the notion of neutrosophic soft continuous mapping on a neutrosophic soft topological space and it’s properties are developed here.

On Product of Smooth Neutrosophic Topological Spaces
On Product of Smooth Neutrosophic Topological Spaces

Author: Kalaivani Chandran

Publisher: Infinite Study

Published: 2020-09-21

Total Pages: 20

ISBN-13:

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In this paper, we develop the notion of the basis for a smooth neutrosophic topology in a more natural way. As a sequel, we define the notion of symmetric neutrosophic quasi-coincident neighborhood systems and prove some interesting results that fit with the classical ones, to establish the consistency of theory developed. Finally, we define and discuss the concept of product topology, in this context, using the definition of basis.

Introduction to Non-Standard Neutrosophic Topology
Introduction to Non-Standard Neutrosophic Topology

Author: Mohammed A. Al Shumrani

Publisher: Infinite Study

Published:

Total Pages: 14

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For the first time we introduce non-standard neutrosophic topology on the extended non-standard analysis space, called non-standard real monad space, which is closed under neutrosophic non-standard infimum and supremum. Many classical topological concepts are extended to the non-standard neutrosophic topology, several theorems and properties about them are proven, and many examples are presented.

Ordinary Single Valued Neutrosophic Topological Spaces
Ordinary Single Valued Neutrosophic Topological Spaces

Author: Junhui Kim

Publisher: Infinite Study

Published:

Total Pages: 26

ISBN-13:

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We define an ordinary single valued neutrosophic topology and obtain some of its basic properties. In addition, we introduce the concept of an ordinary single valued neutrosophic subspace. Next, we define the ordinary single valued neutrosophic neighborhood system and we show that an ordinary single valued neutrosophic neighborhood system has the same properties in a classical neighborhood system. Finally, we introduce the concepts of an ordinary single valued neutrosophic base and an ordinary single valued neutrosophic subbase, and obtain two characterizations of an ordinary single valued neutrosophic base and one characterization of an ordinary single valued neutrosophic subbase.