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 Neutrosophic Soft Metric Space
On Neutrosophic Soft Metric Space

Author: Tuhin Bera

Publisher: Infinite Study

Published:

Total Pages: 21

ISBN-13:

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In this paper, the notion of neutrosophic soft metric space(NSMS) is introduced interms of neutrosophic soft points and several related properties, structural characteristics have been investigated. Then the convergence of sequence in neutrosophic soft metric space is defined and illustrated by examples.

Separation axioms on neutrosophic soft topological spaces
Separation axioms on neutrosophic soft topological spaces

Author: Çigdem GÜNÜUZ ARAS

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

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A neutrosophic set, proposed by Smarandache, considers a truth membership function, an indeterminacy membership function, and a falsity membership function. Neutrosophic soft sets combined by Maji have been utilized successfully to model uncertainty in several areas of application such as control, reasoning, pattern recognition, and computer vision. In the present paper, some basic notions of neutrosophic soft sets have been redefined and the neutrosophic soft point concept has been introduced. Later we give the neutrosophic soft Ti -space and the relationships between them are discussed in detail.

Soft b-Separation Axioms in Neutrosophic Soft Topological Structures
Soft b-Separation Axioms in Neutrosophic Soft Topological Structures

Author: Arif Mehmood Khattak

Publisher: Infinite Study

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Total Pages: 13

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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 rst 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.

On neutrosophic soft continuous mappings
On neutrosophic soft continuous mappings

Author: Taha Yasin Öztürk

Publisher: Infinite Study

Published:

Total Pages: 16

ISBN-13:

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In this paper, the concept of neutrosophic soft continuous mapping, neutrosophic soft open mapping, neutrosophic soft closed mapping and neutrosophic soft homeomorphism have been introduced along with the investigation of their several characteristics, and verified by proper examples.

Compactness and Continuity On Neutrosophic Soft Metric Space
Compactness and Continuity On Neutrosophic Soft Metric Space

Author: Tuhin Bera

Publisher: Infinite Study

Published:

Total Pages: 24

ISBN-13:

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In this paper, the notion of compact neutrosophic soft metric space is introduced. The concept of neutrosophic soft function and the composition of functions in a neutrosophic soft metric space along with suitable examples also have been brought. The continuity and uniform continuity of a neutrosophic soft function in this space have been defined and verified by proper examples. Several related properties, theorems and structural characteristics of these have been investigated here.

Neutrosophic Soft Topological K-Algebras
Neutrosophic Soft Topological K-Algebras

Author: Muhammad Akram

Publisher: Infinite Study

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Total Pages: 21

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In this paper, we propose the notion of single-valued neutrosophic soft topological K-algebras. We discuss certain concepts, including interior, closure, C5-connected, super connected, Compactness and Hausdorff in single valued neutrosophic soft topological K-algebras. We illustrate these concepts with examples and investigate some of their related properties. We also study image and pre-image of single-valued neutrosophic soft topologicalK-algebras.

A New Approach to Operations on Neutrosophic Soft Sets and to Neutrosophic Soft Topological Spaces
A New Approach to Operations on Neutrosophic Soft Sets and to Neutrosophic Soft Topological Spaces

Author: Taha Yasin Ozturk

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

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In this study, we re-define some operations on neutrosophic soft sets differently from the studies [3, 9]. On this operations are given interesting examples and them basic properties. In the direction of these newly defined operations, we construct the neutrosophic soft topological spaces differently from the study [3]. Finally, we introduce basic definitions and theorems on neutrosophic soft topological spaces.

A New Approach to Operations on Bipolar Neutrosophic Soft Sets and Bipolar Neutrosophic Soft Topological Spaces
A New Approach to Operations on Bipolar Neutrosophic Soft Sets and Bipolar Neutrosophic Soft Topological Spaces

Author: Taha Yasin Ozturk

Publisher: Infinite Study

Published:

Total Pages: 12

ISBN-13:

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In this study, we re-define some operations on bipolar neutrosophic soft sets differently from the studies. On this operations are given interesting examples and them basic properties. In the direction of these newly defined operations, we construct the bipolar neutrosophic soft topological spaces. Finally, we introduce basic definitions and theorems on bipolar neutrosophic soft topological spaces.