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Single Valued Extremally Disconnected Ideal Neutrosophic Topological Spaces


 Single Valued Extremally Disconnected Ideal Neutrosophic Topological Spaces
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Single Valued Extremally Disconnected Ideal Neutrosophic Topological Spaces


 Single Valued Extremally Disconnected Ideal Neutrosophic Topological Spaces
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Author : Fahad Alsharari
language : en
Publisher: Infinite Study
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Single Valued Extremally Disconnected Ideal Neutrosophic Topological Spaces written by Fahad Alsharari and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


This paper aims to mark out new concepts of r-single valued neutrosophic sets, called r-single valued neutrosophic £-closed and £-open sets. The definition of £-single valued neutrosophic irresolute mapping is provided and its characteristic properties are discussed.



Neutrosophic Sets And Systems An International Book Series In Information Science And Engineering Vol 25 2019


Neutrosophic Sets And Systems An International Book Series In Information Science And Engineering Vol 25 2019
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
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Neutrosophic Sets And Systems An International Book Series In Information Science And Engineering Vol 25 2019 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.



Single Valued Neutrosophic Ideal Approximation Spaces


Single Valued Neutrosophic Ideal Approximation Spaces
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Author : Yaser Saber
language : en
Publisher: Infinite Study
Release Date : 2024-01-01

Single Valued Neutrosophic Ideal Approximation Spaces written by Yaser Saber and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-01 with Mathematics categories.


In this paper, we defined the basic idea of the single-valued neutrosophic upper, single-valued neutrosophic lower and single-valued neutrosophic boundary sets of a rough single-valued neutrosophic set in a single-valued neutrosophic approximation space. We joined the single-valued neutrosophic ideal notion with the single-valued neutrosophic approximation spaces and then introduced the single-valued neutrosophic ideal approximation closure and interior operators associated with a rough single-valued neutrosophic set, single-valued neutrosophic ideal approximation connectedness and the single-valued neutrosophic ideal approximation continuity between single-valued neutrosophic ideal approximation spaces are introduced. The concepts of single-valued neutrosophic groups and their approximations have also been applied in the development of fuzzy systems, enhancing their ability to model and reason using uncertain and imprecise information.



Compactness On Single Valued Neutrosophic Ideal Topological Spaces


Compactness On Single Valued Neutrosophic Ideal Topological Spaces
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Author : Fahad Alsharari
language : en
Publisher: Infinite Study
Release Date : 2021-08-01

Compactness On Single Valued Neutrosophic Ideal Topological Spaces written by Fahad Alsharari and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-01 with Mathematics categories.


The theories of r-single-valued neutrosophic compact, r-single-valued neutrosophic ideal compact, r-single-valued neutrosophic quasi H-closed and r-single-valued neutrosophic compact modulo a single-valued neutrosophic ideal ℐ̃ are presented and investigated.



Ordinary Single Valued Neutrosophic Topological Spaces


Ordinary Single Valued Neutrosophic Topological Spaces
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Author : Junhui Kim
language : en
Publisher: Infinite Study
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Ordinary Single Valued Neutrosophic Topological Spaces written by Junhui Kim and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


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.



On Single Valued Neutrosophic Ideals In Ostak Sense


On Single Valued Neutrosophic Ideals In Ostak Sense
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Author : Yaser Saber
language : en
Publisher: Infinite Study
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On Single Valued Neutrosophic Ideals In Ostak Sense written by Yaser Saber and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


Neutrosophy is a recent section of philosophy. It was initiated in 1980 by Smarandache. It was presented as the study of origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. In this paper, we introduce the notion of single-valued neutrosophic ideals sets in Šostak’s sense, which is considered as a generalization of fuzzy ideals in Šostak’s sense and intuitionistic fuzzy ideals.



New Development Of Neutrosophic Probability Neutrosophic Statistics Neutrosophic Algebraic Structures And Neutrosophic Plithogenic Optimizations


New Development Of Neutrosophic Probability Neutrosophic Statistics Neutrosophic Algebraic Structures And Neutrosophic Plithogenic Optimizations
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2022-09-01

New Development Of Neutrosophic Probability Neutrosophic Statistics Neutrosophic Algebraic Structures And Neutrosophic Plithogenic Optimizations written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-01 with Mathematics categories.


This volume presents state-of-the-art papers on new topics related to neutrosophic theories, such as neutrosophic algebraic structures, neutrosophic triplet algebraic structures, neutrosophic extended triplet algebraic structures, neutrosophic algebraic hyperstructures, neutrosophic triplet algebraic hyperstructures, neutrosophic n-ary algebraic structures, neutrosophic n-ary algebraic hyperstructures, refined neutrosophic algebraic structures, refined neutrosophic algebraic hyperstructures, quadruple neutrosophic algebraic structures, refined quadruple neutrosophic algebraic structures, neutrosophic image processing, neutrosophic image classification, neutrosophic computer vision, neutrosophic machine learning, neutrosophic artificial intelligence, neutrosophic data analytics, neutrosophic deep learning, and neutrosophic symmetry, as well as their applications in the real world.



Decomposition Of Single Valued Neutrosophic Ideal Continuity Via Fuzzy Idealization


Decomposition Of Single Valued Neutrosophic Ideal Continuity Via Fuzzy Idealization
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Author : Fahad Alsharari
language : en
Publisher: Infinite Study
Release Date : 2020-12-01

Decomposition Of Single Valued Neutrosophic Ideal Continuity Via Fuzzy Idealization written by Fahad Alsharari and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-01 with Mathematics categories.


The aim of this paper is to introduce various types of r-single-valued neutrosophic open sets based on the single-valued neutrosophic ideals in Sostak Sense. Different mappings of single-valued continuity and ideal continuity based on the r-single-valued neutrosophic ideal openness are defined and many implications between them are investigated with counterexamples illustrated.



A New Single Valued Neutrosophic Rough Sets And Related Topology


A New Single Valued Neutrosophic Rough Sets And Related Topology
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Author : Qiu Jin
language : en
Publisher: Infinite Study
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A New Single Valued Neutrosophic Rough Sets And Related Topology written by Qiu Jin and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


(Fuzzy) rough sets are closely related to (fuzzy) topologies. Neutrosophic rough sets and neutrosophic topologies are extensions of (fuzzy) rough sets and (fuzzy) topologies, respectively. In this paper, a new type of neutrosophic rough sets is presented, and the basic properties and the relationships to neutrosophic topology are discussed.



On Single Valued Neutrosophic Proximity Spaces


On Single Valued Neutrosophic Proximity Spaces
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Author : Samed Özkan
language : en
Publisher: Infinite Study
Release Date :

On Single Valued Neutrosophic Proximity Spaces written by Samed Özkan and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


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.