On Product Of Smooth Neutrosophic Topological Spaces

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On Product of Smooth Neutrosophic Topological Spaces

Author : Kalaivani Chandran
Publisher : Infinite Study
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4./5 ( download)

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Book Synopsis On Product of Smooth Neutrosophic Topological Spaces by : Kalaivani Chandran

Download or read book On Product of Smooth Neutrosophic Topological Spaces written by Kalaivani Chandran and published by Infinite Study. This book was released on 2020-09-21 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : P. Iswarya
Publisher : Infinite Study
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4./5 ( download)

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Book Synopsis On Neutrosophic Semi-Open sets in Neutrosophic Topological Spaces by : P. Iswarya

Download or read book On Neutrosophic Semi-Open sets in Neutrosophic Topological Spaces written by P. Iswarya and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Pre-open Sets and Pre-closed Sets in Neutrosophic Topology

Author : V. Venkateswara Rao
Publisher : Infinite Study
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Pre-open Sets and Pre-closed Sets in Neutrosophic Topology by : V. Venkateswara Rao

Download or read book Neutrosophic Pre-open Sets and Pre-closed Sets in Neutrosophic Topology written by V. Venkateswara Rao and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

A Study on Connectedness in Neutrosophic Topological Spaces

Author : Ahu Acikgoz
Publisher : Infinite Study
ISBN 13 :
Total Pages : 5 pages
Book Rating : 4./5 ( download)

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Book Synopsis A Study on Connectedness in Neutrosophic Topological Spaces by : Ahu Acikgoz

Download or read book A Study on Connectedness in Neutrosophic Topological Spaces written by Ahu Acikgoz and published by Infinite Study. This book was released on with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this study, we introduce the concept of neutrosophic connectedness and give some of its characterizations. Additionally, we present neutrosophic product space and show that this type of connectedness is not preserved under neutrosophic product spaces. We also introduce the notions of neutrosophic super-connected spaces, neutrosophic strongly connected spaces and study their properties.

On Neutrosophic Feebly Frontier in Neutrosophic Topological Spaces

Author : P. Jeya Puvaneswari
Publisher : Infinite Study
ISBN 13 :
Total Pages : 6 pages
Book Rating : 4./5 ( download)

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Book Synopsis On Neutrosophic Feebly Frontier in Neutrosophic Topological Spaces by : P. Jeya Puvaneswari

Download or read book On Neutrosophic Feebly Frontier in Neutrosophic Topological Spaces written by P. Jeya Puvaneswari and published by Infinite Study. This book was released on with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we introduce a new class of operator using neutrosophic feebly closed sets namely neutrosophic feebly frontier. Also we study some of their basic properties and their characterizations.

Neutrosophic Topological Spaces

Author : Murad Arar
Publisher : Infinite Study
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Topological Spaces by : Murad Arar

Download or read book Neutrosophic Topological Spaces written by Murad Arar and published by Infinite Study. This book was released on 2020-12-01 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Mary Margaret A.
Publisher : Infinite Study
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Vague Topological Spaces by : Mary Margaret A.

Download or read book Neutrosophic Vague Topological Spaces written by Mary Margaret A. and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Ordinary Single Valued Neutrosophic Topological Spaces

Author : Junhui Kim
Publisher : Infinite Study
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4./5 ( download)

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Book Synopsis Ordinary Single Valued Neutrosophic Topological Spaces by : Junhui Kim

Download or read book Ordinary Single Valued Neutrosophic Topological Spaces written by Junhui Kim and published by Infinite Study. This book was released on with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Neutrosophic SuperHyperAlgebra and New Types of Topologies

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 254 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic SuperHyperAlgebra and New Types of Topologies by : Florentin Smarandache

Download or read book Neutrosophic SuperHyperAlgebra and New Types of Topologies written by Florentin Smarandache and published by Infinite Study. This book was released on 2023-09-01 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: In general, a system S (that may be a company, association, institution, society, country, etc.) is formed by sub-systems Si { or P(S), the powerset of S }, and each sub-system Si is formed by sub-sub-systems Sij { or P(P(S)) = P2(S) } and so on. That’s why the n-th PowerSet of a Set S { defined recursively and denoted by Pn(S) = P(Pn-1(S) } was introduced, to better describes the organization of people, beings, objects etc. in our real world. The n-th PowerSet was used in defining the SuperHyperOperation, SuperHyperAxiom, and their corresponding Neutrosophic SuperHyperOperation, Neutrosophic SuperHyperAxiom in order to build the SuperHyperAlgebra and Neutrosophic SuperHyperAlgebra. In general, in any field of knowledge, one in fact encounters SuperHyperStructures. Also, six new types of topologies have been introduced in the last years (2019-2022), such as: Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology, NeutroTopology, AntiTopology, SuperHyperTopology, and Neutrosophic SuperHyperTopology.

On Neutrosophic Feebly Open Set In Neutrosophic Topological Spaces

Author : P. Jeya Puvaneswari
Publisher : Infinite Study
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4./5 ( download)

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Book Synopsis On Neutrosophic Feebly Open Set In Neutrosophic Topological Spaces by : P. Jeya Puvaneswari

Download or read book On Neutrosophic Feebly Open Set In Neutrosophic Topological Spaces written by P. Jeya Puvaneswari and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this paper is to introduce the concept of Neutrosophic point, Neutrosophic quasi coincident, Neutrosophic feebly open sets and Neutrosophic feebly closed sets in Neutrosophic Topological spaces. Also we analyse their characterizations and investigate their properties. This concept is the generalization of intuitionistic topological spaces and fuzzy topological spaces. Using this neutrosophic feebly open sets and neutrosophic feebly closed sets, we define a new class of functions namely neutrosophic feebly continuous functions. Further, relationships between this new class and the other classes of functions are established.

Generalized Neutrosophic Set and Generalized Neutrosophic Topological Spaces

Author : A. A. Salama
Publisher : Infinite Study
ISBN 13 :
Total Pages : 4 pages
Book Rating : 4./5 ( download)

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Book Synopsis Generalized Neutrosophic Set and Generalized Neutrosophic Topological Spaces by : A. A. Salama

Download or read book Generalized Neutrosophic Set and Generalized Neutrosophic Topological Spaces written by A. A. Salama and published by Infinite Study. This book was released on with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

NeutroAlgebra Theory Volume I

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 219 pages
Book Rating : 4./5 ( download)

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Book Synopsis NeutroAlgebra Theory Volume I by : Florentin Smarandache

Download or read book NeutroAlgebra Theory Volume I written by Florentin Smarandache and published by Infinite Study. This book was released on 2021-06-21 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers from multiple authors. In 2019 and 2020 Smarandache [1, 2, 3, 4] generalized the classical Algebraic Structures to NeutroAlgebraic Structures (or NeutroAlgebras) {whose operations and axioms are partially true, partially indeterminate, and partially false} as extensions of Partial Algebra, and to AntiAlgebraic Structures (or AntiAlgebras) {whose operations and axioms are totally false}. The NeutroAlgebras & AntiAlgebras are a new field of research, which is inspired from our real world. In classical algebraic structures, all axioms are 100%, and all operations are 100% well-defined, but in real life, in many cases these restrictions are too harsh, since in our world we have things that only partially verify some laws or some operations. Using the process of NeutroSophication of a classical algebraic structure we produce a NeutroAlgebra, while the process of AntiSophication of a classical algebraic structure produces an AntiAlgebra.

On Single-Valued Neutrosophic Proximity Spaces

Author : Samed Özkan
Publisher : Infinite Study
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4./5 ( download)

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Book Synopsis On Single-Valued Neutrosophic Proximity Spaces by : Samed Özkan

Download or read book On Single-Valued Neutrosophic Proximity Spaces written by Samed Özkan and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, the notion of single-valued neutrosophic proximity spaces which is a generalisation of fuzzy proximity spaces [Katsaras AK. Fuzzy proximity spaces. Anal and Appl. 1979;68(1):100–110.] and intuitionistic fuzzy proximity spaces [Lee SJ, Lee EP. Intuitionistic fuzzy proximity spaces. Int J Math Math Sci. 2004;49:2617–2628.] was introduced and some of their properties were investigated. Then, it was shown that a single-valued neutrosophic proximity on a set X induced a single-valued neutrosophic topology on X. Furthermore, the existence of initial single-valued neutrosophic proximity structure is proved. Finally, based on this fact, the product of single-valued neutrosophic proximity spaces was introduced.

Continuous and Irresolute Functions in Neutrosophic Topological Spaces

Author : K. Damodharan
Publisher : Infinite Study
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4./5 ( download)

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Book Synopsis Continuous and Irresolute Functions in Neutrosophic Topological Spaces by : K. Damodharan

Download or read book Continuous and Irresolute Functions in Neutrosophic Topological Spaces written by K. Damodharan and published by Infinite Study. This book was released on 2020-12-01 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Non-Standard Neutrosophic Topology

Author : Mohammed A. Al Shumrani
Publisher : Infinite Study
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4./5 ( download)

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Book Synopsis Introduction to Non-Standard Neutrosophic Topology by : Mohammed A. Al Shumrani

Download or read book Introduction to Non-Standard Neutrosophic Topology written by Mohammed A. Al Shumrani and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Generalized Topological Spaces via Neutrosophic Sets

Author : N. Raksha Ben
Publisher : Infinite Study
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4./5 ( download)

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Book Synopsis Generalized Topological Spaces via Neutrosophic Sets by : N. Raksha Ben

Download or read book Generalized Topological Spaces via Neutrosophic Sets written by N. Raksha Ben and published by Infinite Study. This book was released on with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Neutrosophic Crisp Supra Bi and Tri-Topological Spaces

Author : V. Amarendra Babu
Publisher : Infinite Study
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Crisp Supra Bi and Tri-Topological Spaces by : V. Amarendra Babu

Download or read book Neutrosophic Crisp Supra Bi and Tri-Topological Spaces written by V. Amarendra Babu and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.