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.

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.

Neutrosophic Vague Topological Spaces
Neutrosophic Vague Topological Spaces

Author: Mary Margaret A.

Publisher: Infinite Study

Published:

Total Pages: 12

ISBN-13:

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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.

Neutrosophic Pre-open Sets and Pre-closed Sets in Neutrosophic Topology
Neutrosophic Pre-open Sets and Pre-closed Sets in Neutrosophic Topology

Author: V. Venkateswara Rao

Publisher: Infinite Study

Published:

Total Pages: 10

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The purpose of this article is to extend some more topics of topology in neutrosophic topology. Eerily introduce neutrosophic topological space and open sets, closed sets, semi-open and semi closed sets, now in this manuscript we extend up to neutrosophic pre-open and pre-closed (NPO and NPC).

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

Author: Mohammed A. Al Shumrani

Publisher: Infinite Study

Published:

Total Pages: 14

ISBN-13:

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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.

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 Grill Topological Spaces
Neutrosophic Grill Topological Spaces

Author: Selvaraj Ganesan

Publisher: Infinite Study

Published:

Total Pages: 16

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In the present paper, we define a kind of neutrosophic topology obtained as an associated structure on a neutrosophic topological space K induced by a grill on K. Such a neutrosophic topology is studied in certain detail as to some of its basic properties. Also we introduce new definition of neutrosophic grill topological space like neutrosophic grill-open, neutrosophic grill pre-open, neutrosophic grill semi-open, neutrosophic grill b-open.

A Look on Separation Axioms in Neutrosophic Topological Spaces
A Look on Separation Axioms in Neutrosophic Topological Spaces

Author: Ahu Acikgoz

Publisher: Infinite Study

Published:

Total Pages: 5

ISBN-13:

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This study is dedicated to make an attempt to define different types of separation axioms in neutrosophic topological spaces. The relationships among them are shown with a diagram and counterexamples. We also introduce some new notions, such as neutrosophic quasi-coincidence, neutrosophic q-neighborhood, neurosophic cluster point, and give a new definition for neutrosophic function.

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.