Download or read book Separation axioms on neutrosophic soft topological spaces written by Çigdem GÜNÜUZ ARAS and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Soft b Separation Axioms in Neutrosophic Soft Topological Structures written by Arif Mehmood Khattak and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book A Look on Separation Axioms 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: 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.

Download or read book A Review of Fuzzy Soft Topological Spaces Intuitionistic Fuzzy Soft Topological Spaces and Neutrosophic Soft Topological Spaces written by M. Parimala and published by Infinite Study. This book was released on 2020-04-20 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of fuzzy sets initiated to overcome the uncertainty of an object. Fuzzy topological space, intuitionistic fuzzy sets in topological structure space, vagueness in topological structure space, rough sets in topological space, theory of hesitancy and neutrosophic topological space, etc. are the extension of fuzzy sets. Soft set is a family of parameters which is also a set. Fuzzy soft topological space, intuitionistic fuzzy soft and neutrosophic soft topological space are obtained by incorporating soft sets with various topological structures. This motivates to write a review and study on various soft set concepts. This paper shows the detailed review of soft topological spaces in various sets like fuzzy, Intuitionistic fuzzy set and neutrosophy. Eventually, we compared some of the existing tools in the literature for easy understanding and exhibited their advantages and limitations.

Download or read book Some Results in Neutrosophic Soft Topology Concerning Neutrosophic Soft b Open Sets written by Arif Mehmood and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Separation Axioms in Neutrosophic Crisp Topological Spaces written by Ahmed B. AL-Nafee and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main idea of this .research is,to define a new neutrosophic.crisp points in neutrosophic.crisp topological.space .namely [NCPN].,the concept of neutrosophic.crisp limit point was defind using [NCPN],with some of its properties, the separation axioms [N-𝒯i-space,i= 0,1,2] were constructed in neutrosophic.crisp topological space using [NCPN] and, examine the relationship between them in details.

Download or read book Neutrosophic Soft Open Set in Neutrosophic Soft Topological Spaces written by Arif Mehmood and published by Infinite Study. This book was released on with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, the notion of generalized neutrosophic soft open set (GNSOS) in neutrosophic soft open set (GNSOS) in neutrosophic soft topological structures relative to neutrosophic soft points is introduced.

Download or read book A Novel Approach Neutro Spot Topology and Its Supra Topology With Separation Axioms and Computing the Impact on COVID 19 written by V. Chinnadurai and published by Infinite Study. This book was released on 2020-12-01 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic soft set is a parametric set of uncertainty, whereas the neutrosophic soft point is an exceptional type of it which used highly to explore the separation axioms. In this study, the impression of neutrosophic soft topological space is stretched to a new topology which contains neutrosophic soft points as its elements and named as neutro-spot topological space. One more topology is defined on the complement of neutrosophic soft points which satisfies the condition of supra topological space and named as neutro-supra spot topological space. Also, defined the notion of interior and closure, and are approached in a different way, along with the concept of subspace topology of such topological spaces. Some related properties have been proved and disproved with counterexamples. Moreover, the approach to separation axioms in such spaces has been presented with descriptive examples. The current epidemic situation discussed as a real life application in decision making problem to detect the major impact of COVID-19 and recover them quickly. The affected people investigated by the doctors according to their symptoms and other medical issues. The process of solving specified in the algorithm and the estimation formula stated for calculation. The appropriate treatment is provided for affected people as per the estimated value.

Download or read book On Neutrosophic Soft Topological Space written by Tuhin Bera and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Neutrosophic Soft Bitopological Spaces written by Ahmed B. AL-Nafee and published by Infinite Study. This book was released on 2021-09-04 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we built bitopological space on the concept of neutrosophic soft set, we defined the basic topological concepts of this spaces which are N3-(bi)* -open set, N3-(bi)* -closed set, (bi)* -neutrosophic soft interior, (bi)* -neutrosophic soft closure, (bi)* -neutrosophic soft boundary, (bi)* -neutrosophic soft exterior and we introduced their properties. In addition, we investigated the relations of these basic topological concepts with their counterparts in neutrosophic soft topological spaces and we introduced many examples.

Download or read book A New Approach to Operations on Neutrosophic Soft Sets and to Neutrosophic Soft Topological Spaces written by Taha Yasin Ozturk and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this study, we re-define some operations on neutrosophic soft sets differently from the studies [3, 9]. On this operations are given interesting examples and them basic properties. In the direction of these newly defined operations, we construct the neutrosophic soft topological spaces differently from the study [3]. Finally, we introduce basic definitions and theorems on neutrosophic soft topological spaces.

Download or read book Neutrosophic Sets and Systems Vol 35 2020 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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. Some articles in this issue: Neutrosophic Soft Fixed Points, Selection of Alternative under the Framework of Single-Valued Neutrosophic Sets, Application of Single Valued Trapezoidal Neutrosophic Numbers in Transportation Problem.

Download or read book Separation Axioms on Bipolar Hypersoft Topological Spaces written by Sagvan Y. Musa and published by Infinite Study. This book was released on 2023-01-01 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Download or read book Neutrosophic Soft s Open Sets written by Arif Mehmood and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper concerns the study of the notions of neutrosophic soft s-open set, neutrosophic soft s-neighborhood and neutrosophic soft s-separation axioms in neutrosophic soft topological spaces. By using such notions and that of neutrosophic soft point, we study the separation axioms s-Ti (with i = 0, . . .4), the s-regular and the s-normal neutrosophic soft topological spaces by proving some relationships between these classes of spaces and other results concerning hereditary and subspaces.

Download or read book Neutrosophic Sets and Systems vol 49 2022 written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-04-01 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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).

Download or read book On stratified single valued soft topogenous structures written by Fahad Alsharari and published by Infinite Study. This book was released on 2024-01-01 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper presents novel concepts including stratified single-valued neutrosophic soft topogenous (stratified svns-topogenous), stratified single-valued neutrosophic soft filter (stratified svns-filter), stratified single-valued neutrosophic soft quasi uniformity (stratified svnsq-uniformity) and stratified single-valued neutrosophic soft quasi proximity (stratified svnsq-proximity). Additionally, we present the idea of single-valued neutrosophic soft topogenous structures, formed by integrating svns-topogenous with svns-filter, and discuss their properties. Furthermore, we explore the connections between these single-valued neutrosophic soft topological structures and their corresponding stratifications.

Download or read book New Family of Neutrosophic Soft Sets written by Ahmed B. Al-Nafee and published by Infinite Study. This book was released on 2020-12-01 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this paper is to study and discuss the neutrosophic soft set theory by introducing, new family of neutrosophic soft sets and because the concept of topological spaces is one of the most powerful concepts in system analysis, we introduced the concept of neutrosophic soft topological spaces depending on this the new family. Furthermore, we introduced new definitions, properties, concerning the neutrosophic soft closuer, the neutrosophic soft interior, the neutrosophic soft exterior and the neutrosophic soft boundary in details of neutrosophic compact. We prove that for a countable neutrosophic-space X: countably compactness and compactness are equivalent. We give an example of a neutrosophic space X which has a neutrosophic countable base but it is not neutrosophic countably compact.