Mod Natural Neutrosophic Subset Topological Spaces And Kakutani S Theorem

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MOD Natural Neutrosophic Subset Topological Spaces and Kakutani’s Theorem

W. B. Vasantha Kandasamy,K. Ilanthenral,Florentin Smarandche
MOD Natural Neutrosophic Subset Topological Spaces and Kakutani s Theorem Book PDF

Author : W. B. Vasantha Kandasamy,K. Ilanthenral,Florentin Smarandche
Publisher : Infinite Study
Page : 128 pages
File Size : 42,9 Mb
Release : 2024-06-13
Category : Electronic
ISBN : 9781599734903

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MOD Natural Neutrosophic Subset Topological Spaces and Kakutani’s Theorem by W. B. Vasantha Kandasamy,K. Ilanthenral,Florentin Smarandche Pdf

In this book authors for the first time develop the notion of MOD natural neutrosophic subset special type of topological spaces using MOD natural neutrosophic dual numbers or MOD natural neutrosophic finite complex number or MOD natural neutrosophic-neutrosophic numbers and so on to build their respective MOD semigroups. Later they extend this concept to MOD interval subset semigroups and MOD interval neutrosophic subset semigroups. Using these MOD interval semigroups and MOD interval natural neutrosophic subset semigroups special type of subset topological spaces are built. Further using these MOD subsets we build MOD interval subset matrix semigroups and MOD interval subset matrix special type of matrix topological spaces. Likewise using MOD interval natural neutrosophic subsets matrices semigroups we can build MOD interval natural neutrosophic matrix subset special type of topological spaces. We also do build MOD subset coefficient polynomial special type of topological spaces. The final chapter mainly proposes several open conjectures about the validity of the Kakutani’s fixed point theorem for all MOD special type of subset topological spaces.

Special Subset Linguistic Topological Spaces

W. B. Vasantha Kandasamy,Ilanthenral K.,Florentin Smarandache
Special Subset Linguistic Topological Spaces Book PDF

Author : W. B. Vasantha Kandasamy,Ilanthenral K.,Florentin Smarandache
Publisher : Infinite Study
Page : 259 pages
File Size : 53,9 Mb
Release : 2024-06-13
Category : Mathematics
ISBN : 8210379456XXX

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Special Subset Linguistic Topological Spaces by W. B. Vasantha Kandasamy,Ilanthenral K.,Florentin Smarandache Pdf

In this book, authors, for the first time, introduce the new notion of special subset linguistic topological spaces using linguistic square matrices. This book is organized into three chapters. Chapter One supplies the reader with the concept of ling set, ling variable, ling continuum, etc. Specific basic linguistic algebraic structures, like linguistic semigroup linguistic monoid, are introduced. Also, algebraic structures to linguistic square matrices are defined and described with examples. For the first time, non-commutative linguistic topological spaces are introduced. The notion of a linguistic special subset of doubly non-commutative topological spaces of linguistic topological spaces is introduced in this book.

Generalized Topological Spaces via Neutrosophic Sets

N. Raksha Ben,G. Hari Siva Annam
Generalized Topological Spaces via Neutrosophic Sets Book PDF

Author : N. Raksha Ben,G. Hari Siva Annam
Publisher : Infinite Study
Page : 19 pages
File Size : 55,7 Mb
Release : 2024-06-13
Category : Mathematics
ISBN : 8210379456XXX

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Generalized Topological Spaces via Neutrosophic Sets by N. Raksha Ben,G. Hari Siva Annam Pdf

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

V. Amarendra Babu,P. Rajasekhar
Neutrosophic Crisp Supra Bi and Tri Topological Spaces Book PDF

Author : V. Amarendra Babu,P. Rajasekhar
Publisher : Infinite Study
Page : 13 pages
File Size : 42,9 Mb
Release : 2024-06-13
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Crisp Supra Bi and Tri-Topological Spaces by V. Amarendra Babu,P. Rajasekhar Pdf

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.

On Product of Smooth Neutrosophic Topological Spaces

Kalaivani Chandran,Swathi Sundari Sundaramoorthy,Florentin Smarandache,Saeid Jafari
On Product of Smooth Neutrosophic Topological Spaces Book PDF

Author : Kalaivani Chandran,Swathi Sundari Sundaramoorthy,Florentin Smarandache,Saeid Jafari
Publisher : Infinite Study
Page : 20 pages
File Size : 40,6 Mb
Release : 2020-09-21
Category : Mathematics
ISBN : 8210379456XXX

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On Product of Smooth Neutrosophic Topological Spaces by Kalaivani Chandran,Swathi Sundari Sundaramoorthy,Florentin Smarandache,Saeid Jafari Pdf

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.

Neutrosophic generalized b-closed sets in Neutrosophic topological spaces

C. Maheswari,M. Sathyabama,S. Chandrasekar
Neutrosophic generalized b closed sets in Neutrosophic topological spaces Book PDF

Author : C. Maheswari,M. Sathyabama,S. Chandrasekar
Publisher : Infinite Study
Page : 8 pages
File Size : 50,6 Mb
Release : 2024-06-13
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic generalized b-closed sets in Neutrosophic topological spaces by C. Maheswari,M. Sathyabama,S. Chandrasekar Pdf

Smarandache introduced and developed the new concept of Neutrosophic set from the Intuitionistic fuzzy sets. A.A. Salama introduced Neutrosophic topological spaces by using the Neutrosophic crisp sets. Aim of this paper is we introduce and study about Neutrosophic generalized b closed sets in Neutrosophic topological spaces and its properties are discussed details.

Continuous and Irresolute Functions in Neutrosophic Topological Spaces

K. Damodharan,M. Vigneshwaran,Shuker Khalil
Continuous and Irresolute Functions in Neutrosophic Topological Spaces Book PDF

Author : K. Damodharan,M. Vigneshwaran,Shuker Khalil
Publisher : Infinite Study
Page : 14 pages
File Size : 44,7 Mb
Release : 2020-12-01
Category : Mathematics
ISBN : 8210379456XXX

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Continuous and Irresolute Functions in Neutrosophic Topological Spaces by K. Damodharan,M. Vigneshwaran,Shuker Khalil Pdf

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.

Neutrosophic Generalized Semi Closed Sets In Neutrosophic Topological Spaces

V.K.Shanthi,S.Chandrasekar, K.Safina Begam
Neutrosophic Generalized Semi Closed Sets In Neutrosophic Topological Spaces Book PDF

Author : V.K.Shanthi,S.Chandrasekar, K.Safina Begam
Publisher : Infinite Study
Page : 5 pages
File Size : 48,7 Mb
Release : 2024-06-13
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Generalized Semi Closed Sets In Neutrosophic Topological Spaces by V.K.Shanthi,S.Chandrasekar, K.Safina Begam Pdf

F.Smarandache introduced and developed the concept of Neutrosophic set from the fuzzy sets and intuitionistic fuzzy sets . A.A. Salama introduced Neutrosophic topological spaces by using the Neutrosophic crisp sets. Aim of this paper is we introduced and studied about Neutrosophic generalized semi closed sets in Neutrosophic topological spaces and its properties are discussed details.

On NGSR Closed Sets in Neutrosophic Topological Spaces

Anitha S.,Mohana K.,Florentin Smarandache
On NGSR Closed Sets in Neutrosophic Topological Spaces Book PDF

Author : Anitha S.,Mohana K.,Florentin Smarandache
Publisher : Infinite Study
Page : 14 pages
File Size : 43,6 Mb
Release : 2024-06-13
Category : Mathematics
ISBN : 8210379456XXX

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On NGSR Closed Sets in Neutrosophic Topological Spaces by Anitha S.,Mohana K.,Florentin Smarandache Pdf

The intention of this paper is to introduce the concept of GSR-closed sets in terms of neutrosophic topological spaces. Some of the properties of NGSR-closed sets are obtained. In addition, we inspect NGSR-continuity and NGSR-contra continuity in neutrosophic topological spaces.

On Neutrosophic Soft Topological Space

Tuhin Bera,Nirmal Kumar Mahapatra
On Neutrosophic Soft Topological Space Book PDF

Author : Tuhin Bera,Nirmal Kumar Mahapatra
Publisher : Infinite Study
Page : 13 pages
File Size : 54,8 Mb
Release : 2024-06-13
Category : Electronic
ISBN : 8210379456XXX

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On Neutrosophic Soft Topological Space by Tuhin Bera,Nirmal Kumar Mahapatra Pdf

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.

Neutrosophic Grill Topological Spaces

Selvaraj Ganesan
Neutrosophic Grill Topological Spaces Book PDF

Author : Selvaraj Ganesan
Publisher : Infinite Study
Page : 16 pages
File Size : 54,7 Mb
Release : 2024-06-13
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Grill Topological Spaces by Selvaraj Ganesan Pdf

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.

On Neutrosophic Semi-Open sets in Neutrosophic Topological Spaces

P. Iswarya,K. Bageerathi
On Neutrosophic Semi Open sets in Neutrosophic Topological Spaces Book PDF

Author : P. Iswarya,K. Bageerathi
Publisher : Infinite Study
Page : 10 pages
File Size : 55,6 Mb
Release : 2024-06-13
Category : Electronic
ISBN : 8210379456XXX

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On Neutrosophic Semi-Open sets in Neutrosophic Topological Spaces by P. Iswarya,K. Bageerathi Pdf

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 Topological Spaces

Murad Arar,Saeid Jafari
Neutrosophic Topological Spaces Book PDF

Author : Murad Arar,Saeid Jafari
Publisher : Infinite Study
Page : 16 pages
File Size : 51,5 Mb
Release : 2020-12-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Topological Spaces by Murad Arar,Saeid Jafari Pdf

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.

Soft b-Separation Axioms in Neutrosophic Soft Topological Structures

Arif Mehmood Khattak,Nazia Hanif,Fawad Nadeem,Muhammad Zamir,Choonkil Park,Giorgio Nordo,Shamoona Jabeen
Soft b Separation Axioms in Neutrosophic Soft Topological Structures Book PDF

Author : Arif Mehmood Khattak,Nazia Hanif,Fawad Nadeem,Muhammad Zamir,Choonkil Park,Giorgio Nordo,Shamoona Jabeen
Publisher : Infinite Study
Page : 13 pages
File Size : 45,6 Mb
Release : 2024-06-13
Category : Mathematics
ISBN : 8210379456XXX

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Soft b-Separation Axioms in Neutrosophic Soft Topological Structures by Arif Mehmood Khattak,Nazia Hanif,Fawad Nadeem,Muhammad Zamir,Choonkil Park,Giorgio Nordo,Shamoona Jabeen Pdf

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.

Neutrosophic g*-Closed Sets and its maps

A. Atkinswestley,S. Chandrasekar
Neutrosophic g Closed Sets and its maps Book PDF

Author : A. Atkinswestley,S. Chandrasekar
Publisher : Infinite Study
Page : 12 pages
File Size : 43,5 Mb
Release : 2020-10-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic g*-Closed Sets and its maps by A. Atkinswestley,S. Chandrasekar Pdf

Topology is one of the classical subjects in Mathematics. A lot of researchers have published their ideas. As a generalization of topological concepts many new kind of closed and open sets are published continuously. Salama presented Neutrosophic topological spaces by using Smarandache’s Neutrosophic sets. Many Researchers introduced so many closed sets in Neutrosophic topological spaces. Purpose of this research paper is we introduce Neutrosophic g*-Closed sets and Neutrosophicg*-open sets in Neutrosophic topological spaces. Also we study about study about mappings of Neutrosophic g*-Closed sets.