A Look On Separation Axioms In Neutrosophic Topological Spaces


A Look On Separation Axioms In Neutrosophic Topological Spaces
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A Look On Separation Axioms In Neutrosophic Topological Spaces


A Look On Separation Axioms In Neutrosophic Topological Spaces
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Author : Ahu Acikgoz
language : en
Publisher: Infinite Study
Release Date :

A Look On Separation Axioms In Neutrosophic Topological Spaces written by Ahu Acikgoz 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 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.



Separation Axioms In Neutrosophic Crisp Topological Spaces


Separation Axioms In Neutrosophic Crisp Topological Spaces
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Author : Ahmed B. AL-Nafee
language : en
Publisher: Infinite Study
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Separation Axioms In Neutrosophic Crisp Topological Spaces written by Ahmed B. AL-Nafee 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.


The main idea of this research is to define a new neutrosophic crisp points in neutrosophic crisp topological space.



Separation Axioms On Neutrosophic Soft Topological Spaces


Separation Axioms On Neutrosophic Soft Topological Spaces
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Author : Çigdem GÜNÜUZ ARAS
language : en
Publisher: Infinite Study
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Separation Axioms On Neutrosophic Soft Topological Spaces written by Çigdem GÜNÜUZ ARAS 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.


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
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Author : Arif Mehmood Khattak
language : en
Publisher: Infinite Study
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Soft B Separation Axioms In Neutrosophic Soft Topological Structures written by Arif Mehmood Khattak 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.


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.



Separation Axioms On Bipolar Hypersoft Topological Spaces


Separation Axioms On Bipolar Hypersoft Topological Spaces
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Author : Sagvan Y. Musa
language : en
Publisher: Infinite Study
Release Date : 2023-01-01

Separation Axioms On Bipolar Hypersoft Topological Spaces written by Sagvan Y. Musa and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Mathematics categories.


According to its definition, a topological space could be a highly unexpected object. There are spaces (indiscrete space) which have only two open sets: the empty set and the entire space. In a discrete space, on the other hand, each set is open. These two artificial extremes are very rarely seen in actual practice. Most spaces in geometry and analysis fall somewhere between these two types of spaces. Accordingly, the separation axioms allow us to say with confidence whether a topological space contains a sufficient number of open sets to meet our needs. To this end, we use bipolar hypersoft (BHS) sets (one of the efficient tools to deal with ambiguity and vagueness) to define a new kind of separation axioms called BHS e Ti-space (i = 0, 1, 2, 3, 4).



Neutrosophic Sets And Systems Vol 49 2022


Neutrosophic Sets And Systems Vol 49 2022
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2022-04-01

Neutrosophic Sets And Systems Vol 49 2022 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 2022-04-01 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. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).



Neutrosophic Bitopological Spaces


Neutrosophic Bitopological Spaces
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Author : Taha Yasin Ozturk
language : en
Publisher: Infinite Study
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Neutrosophic Bitopological Spaces written by Taha Yasin Ozturk 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 study, bitopological structure which is a more general structure than topological spaces is built on neutrosophic sets. The necessary arguments which are pairwise neutrosophic open set, pairwise neutrosophic closed set, pairwise neutrosophic closure, pairwise neutrosophic interior are defined and their basic properties are presented. The relations of these concepts with their counterparts in neutrosophic topological spaces are given and many examples are presented.



Separation Axioms Covering Properties And Inverse Limits Generated By Developable Topological Spaces


Separation Axioms Covering Properties And Inverse Limits Generated By Developable Topological Spaces
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Author : Harald Brandenburg
language : en
Publisher:
Release Date : 1989

Separation Axioms Covering Properties And Inverse Limits Generated By Developable Topological Spaces written by Harald Brandenburg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Set theory categories.




Some Results In Neutrosophic Soft Topology Concerning Neutrosophic Soft B Open Sets


Some Results In Neutrosophic Soft Topology Concerning Neutrosophic Soft B Open Sets
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Author : Arif Mehmood
language : en
Publisher: Infinite Study
Release Date :

Some Results In Neutrosophic Soft Topology Concerning Neutrosophic Soft B Open Sets written by Arif Mehmood 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 article, new generalised neutrosophic soft open known as neutrosophic soft ∗b-open set is introduced in neutrosophic soft topological spaces. Neutrosophic soft ∗b-open set is generated with the help of neutrosophic soft semiopen and neutrosophic soft preopen sets.



An Introduction To Single Valued Neutrosophic Primal Theory


An Introduction To Single Valued Neutrosophic Primal Theory
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Author : Fahad Alsharari
language : en
Publisher: Infinite Study
Release Date : 2024-01-01

An Introduction To Single Valued Neutrosophic Primal Theory 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 2024-01-01 with Mathematics categories.


This article explores the interconnections among the single-valued neutrosophic grill, single-valued neutrosophic primal and their stratification, uncovering their fundamental characteristics and correlated findings. By introducing the notion of a single-valued neutrosophic primal, a broader framework including the fuzzy primal and intuitionistic fuzzy primal is established. Additionally, the concept of a single-valued neutrosophic open local function for a single-valued neutrosophic topological space is presented. We introduce an operator based on a single-valued neutrosophic primal, illustrating that the single-valued neutrosophic primal topology is finer than the single-valued neutrosophic topology. Lastly, the concept of single-valued neutrosophic open compatibility between the single-valued neutrosophic primal and single-valued neutrosophic topologies is introduced, along with the establishment of several equivalent conditions related to this notion.