Neutrosophic Bitopological Spaces
Neutrosophic Bitopological Spaces

Author: Taha Yasin Ozturk

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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In this study, bitopological structure which is a more general structure than topological spaces is built on neutrosophic sets. The necessary arguments which are pairwise neutrosophic open set, pairwise neutrosophic closed set, pairwise neutrosophic closure, pairwise neutrosophic interior are defined and their basic properties are presented. The relations of these concepts with their counterparts in neutrosophic topological spaces are given and many examples are presented.

Neutrosophic Soft Bitopological Spaces
Neutrosophic Soft Bitopological Spaces

Author: Ahmed B. AL-Nafee

Publisher: Infinite Study

Published: 2021-09-04

Total Pages: 10

ISBN-13:

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In this paper, we built bitopological space on the concept of neutrosophic soft set, we defined the basic topological concepts of this spaces which are N3-(bi)* -open set, N3-(bi)* -closed set, (bi)* -neutrosophic soft interior, (bi)* -neutrosophic soft closure, (bi)* -neutrosophic soft boundary, (bi)* -neutrosophic soft exterior and we introduced their properties. In addition, we investigated the relations of these basic topological concepts with their counterparts in neutrosophic soft topological spaces and we introduced many examples.

Pairwise Neutrosophic-b-Open Set in Neutrosophic Bitopological Spaces
Pairwise Neutrosophic-b-Open Set in Neutrosophic Bitopological Spaces

Author: Suman Das

Publisher: Infinite Study

Published: 2020-12-01

Total Pages: 10

ISBN-13:

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In this paper we introduce the notion of neutrosophic-b-open set, pairwise neutrosophic-b-open set in neutrosophic bitopological spaces. We have investigated some of their basic properties and established relation between the other existing notions.

A Study on Neutrosophic Bitopological Group
A Study on Neutrosophic Bitopological Group

Author: Bhimraj Basumatary

Publisher: Infinite Study

Published: 2020-12-01

Total Pages: 15

ISBN-13:

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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.

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.

Neutrosophic Vague Topological Spaces
Neutrosophic Vague Topological Spaces

Author: Mary Margaret A.

Publisher: Infinite Study

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Total Pages: 12

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The term topology was introduced by Johann Beredict Listing in the 19th century. Closed sets are fundamental objects in a topological space. In this paper, we use neutrosophic vague sets and topological spaces and we construct and develop a new concept namely “neutrosophic vague topological spaces”. By using the fundamental definition and necessary example we have defined the neutrosophic vague topological spaces and have also discussed some of its properties. Also we have defined the neutrosophic vague continuity and neutrosophic vague compact space in neutrosophic vague topological spaces and their properties are deliberated.

Generalized Neutrosophic Set and Generalized Neutrosophic Topological Spaces
Generalized Neutrosophic Set and Generalized Neutrosophic Topological Spaces

Author: A. A. Salama

Publisher: Infinite Study

Published:

Total Pages: 4

ISBN-13:

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In this paper we introduce definitions of generalized neutrosophic sets. After given the fundamental definitions of generalized neutrosophic set operations, we obtain several properties, and discussed the relationship between generalized neutrosophic sets and others. Finally, we extend the concepts of neutrosophic topological space [9], intuitionistic fuzzy topological space [5, 6], and fuzzy topological space [4] to the case of generalized neutrosophic sets. Possible application to GIS topology rules are touched upon.

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.

The neutrosophic strongly open maps in neutrosophic bi-topological spaces
The neutrosophic strongly open maps in neutrosophic bi-topological spaces

Author: Nadia M. Ali Abbas

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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In this work, some new classes of neutrosophic (1,2)-maps are investigated and discussed their basic attributions in neutrosophic bi-topological space (NBTS). In this paper, the relationships among these classes like neutrosophic (1,2)-continuous/ open/ strongly open/ generality open/ maps are discussed. Moreover, our work in this paper is examined and some examples are shown to support this research.

Neutrosophic Crisp Supra Bi and Tri-Topological Spaces
Neutrosophic Crisp Supra Bi and Tri-Topological Spaces

Author: V. Amarendra Babu

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

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The aim of this paper is to introduced neutrosophic crisp supra topological spaces (NCSTS) and neutrosophic crisp supra bi and tri-topological spaces, new types of open and closed sets in neutrosophic crisp supra bi and tri-topological spaces, the closure and interior of neutrosophic crisp supra bi and tri-topological space, new concepts of open and closed sets, their properties are investigated.