Neutrosophic Sets An Overview
DOWNLOAD
Download Neutrosophic Sets An Overview PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Neutrosophic Sets An Overview book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Neutrosophic Sets An Overview
DOWNLOAD
Author : Said Broumi
language : en
Publisher: Infinite Study
Release Date :
Neutrosophic Sets An Overview written by Said Broumi 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 categories.
In this study, we give some concepts concerning the neutrosophic sets, single valued neutrosophic sets, interval-valued neutrosophic sets, bipolar neutrosophic sets, neutrosophic hesitant fuzzy sets, inter-valued neutrosophic hesitant fuzzy sets, refined neutrosophic sets, bipolar neutrosophic refined sets, multi-valued neutrosophic sets, simplified neutrosophic linguistic sets, neutrosophic over/off/under sets, rough neutrosophic sets, rough bipolar neutrosophic sets, rough neutrosophic hyper-complex set, and their basic operations. Then we introduce triangular neutrosophic numbers, trapezoidal neutrosophic fuzzy number and their basic operations. Also some comparative studies between the existing neutrosophic sets and neutrosophic number are provided.
Arithmetic Operations Of Neutrosophic Sets Interval Neutrosophic Sets And Rough Neutrosophic Sets
DOWNLOAD
Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :
Arithmetic Operations Of Neutrosophic Sets Interval Neutrosophic Sets And Rough Neutrosophic Sets 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.
In approximation theory, neutrosophic set and logic show an important role. They are generalizations of intuitionistic fuzzy set and logic respectively. Based on neutrosophy, which is a new branch of philosophy, every idea X, has an opposite denoted as anti (X) and their neutral which is denoted as neut (X). These are the main features of neutrosophic set and logic. This chapter is based on the basic concepts of neutrosophic set as well as some of their hybrid structures. In this chapter, we define and study the notion of neutrosophic set and their basic properties. Moreover, interval-valued neutrosophic set are studied with some of their properties. Finally, we define rough neutrosophic sets.
An Introduction To Neutrosophic Minimal Structure Spaces
DOWNLOAD
Author : M. Karthika
language : en
Publisher: Infinite Study
Release Date : 2020-10-01
An Introduction To Neutrosophic Minimal Structure Spaces written by M. Karthika and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-01 with Mathematics categories.
Abstract. This paper is an introduction of neutrosophic minimal structure space and addresses properties of neutrosophic minimal structure space. Neutrosophic set has plenty of applications. This motivates us to present the concept of neutrosophic minimal structure space. We defined neutrosophic minimal structure space, closure and interior of a set, subspace. Some properties of neutrosophic minimal structure space are also studied. Finally, Decision making problem solved using score function.
New Trends In Neutrosophic Theory And Applications
DOWNLOAD
Author : Florentin Smarandache (editor)
language : en
Publisher: Infinite Study
Release Date : 2016-11-05
New Trends In Neutrosophic Theory And Applications written by Florentin Smarandache (editor) and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-05 with categories.
Neutrosophic theory and applications have been expanding in all directions at an astonishing rate especially after the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc. The different hybrid structure such as rough neutrosophic set, single valued neutrosophic rough set, bipolar neutrosophic set, single valued neutrosophic hesitant fuzzy set, etc. are proposed in the literature in a short period of time. Neutrosophic set has been a very important tool in all various areas of data mining, decision making, e-learning, engineering, medicine, social science, and some more. The book “New Trends in Neutrosophic Theories and Applications” focuses on theories, methods, algorithms for decision making and also applications involving neutrosophic information. Some topics deal with data mining, decision making, e-learning, graph theory, medical diagnosis, probability theory, topology, and some more. 30 papers by 39 authors and coauthors.
New Trends In Neutrosophic Theory And Applications Volume Ii
DOWNLOAD
Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :
New Trends In Neutrosophic Theory And Applications Volume Ii 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 categories.
Neutrosophic theory and applications have been expanding in all directions at an astonishing rate especially after the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc.
Neutrosophic Set A Generalization Of The Intuitionistic Fuzzy Set
DOWNLOAD
Author : Florentin SMARANDACHE
language : en
Publisher: Infinite Study
Release Date :
Neutrosophic Set A Generalization Of The Intuitionistic Fuzzy Set 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 categories.
In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.
A Bibliometric Analysis Of Neutrosophic Set Two Decades Review From 1998 To 2017
DOWNLOAD
Author : Xindong Peng
language : en
Publisher: Infinite Study
Release Date :
A Bibliometric Analysis Of Neutrosophic Set Two Decades Review From 1998 To 2017 written by Xindong Peng 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 set, initiated by Smarandache, is a novel tool to deal with vagueness considering the truth-membership T , indeterminacy-membership I and falsity-membership F satisfying the condition 0 ≤ T + I + F ≤ 3. It can be used to characterize the uncertain information more sufficiently and accurately than intuitionistic fuzzy set. Neutrosophic set has attracted great attention of many scholars that have been extended to new types and these extensions have been used in many areas such as aggregation operators, decision making, image processing, information measures, graph and algebraic structures. Because of such a growth, we present an overview on neutrosophic set with the aim of offering a clear perspective on the different concepts, tools and trends related to their extensions. A total of 137 neutrosophic set publication records from Web of Science are analyzed. Many interesting results with regard to the annual trends, the top players in terms of country level as well as institutional level, the publishing journals, the highly cited papers, and the research landscape are yielded and explained in-depth. The results indicate that some developing economics (such as China, India, Turkey) are quite active in neutrosophic set research. Moreover, the co-authorship analysis of the country and institution, the co-citation analysis of the journal, reference and author, and the co-occurrence analysis of the keywords are presented byVOSviewer software.
About Rough Neutrosophic Soft Sets Theory And Study Their Properties
DOWNLOAD
Author : Somen Debnath
language : en
Publisher: Infinite Study
Release Date :
About Rough Neutrosophic Soft Sets Theory And Study Their Properties written by Somen Debnath 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.
Earlier fuzzy set, vague set, intuitionistic fuzzy set, L-fuzzy set etc are used as a mathematical tools for solving problems based on uncertainties or ambiguous in nature. But due to more complexity involves in problems exist in nature, traditional tools are unable to handle those in a systematic manner. So we need a tool which is more flexible to handle those problems. Which leads to the invention of soft set which was introduced by Molodtsov in 1999. Soft set (SS) theory is a mathematical tool deals with parametric data which are imprecise in nature. Ithis a generalization of fuzzy set theory. On the other hand Rough set (RS) theory and Neutrosophic set (NS) theory both rising as a powerful tool to handle these uncertain, incomplete, inconsistent and imprecise information in an effective manner. Actually Neutrosophic set is a generalization of intuitionistic fuzzy set. Sometimes it is not possible to handle all sorts of uncertain problems with a single mathematical tool. Fusion of two or more mathematical tools give rise to a new mathematical concept which gives an idea how to solve such type of problems in a more sophisticated ways. Which leads to the introduction of fuzzy soft set, rough soft set, intuitionistic fuzzy soft set, soft rough set etc. Neutrosophic soft set (NSS) was established by combining the concept of Soft set and Neutrosophic set. In this paper, using the concept of Rough set and Neutrosophic soft set a new concept known as Rough neutrosophic soft set (RNSS) is developed. Some properties and operations on them are introduced.
Introduction To The Multineutrosophic Set
DOWNLOAD
Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :
Introduction To The Multineutrosophic Set 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.
In the real word, in most cases, everything (an attribute, event, proposition, theory, idea, person, object, action, etc.) is evaluated in general by many sources (called experts), not only one. The more sources evaluate a subject, the better accurate result (after fusioning all evaluations). That’s why, in this paper, we straightforwardly extend the Refined Neutrosophic Set to the MultiNeutrosophic Set, and we show that the last two are isomorphic. A MultiNeutrosophic Set is a Neutrosophic Set whose all elements’ degrees of truth/indeterminacy/falsehood are evaluated by many (Multi) sources. Afterwards, we introduce a total order on the set of n-plets of the form (p, r, s), we build the operators on the (p, r, s)-plets, and show several applications of the MultiNeutrosophic Sets. Several particular cases of the MultiNeutrosophic Sets are presented: such as MultiFuzzy Set, MultiIntuitionistic Fuzzy Set, MultiPicture Fuzzy Set, and other Multi(Fuzzy Extension) Set.
Introduction To Non Standard Neutrosophic Topology
DOWNLOAD
Author : Mohammed A. Al Shumrani
language : en
Publisher: Infinite Study
Release Date :
Introduction To Non Standard Neutrosophic Topology written by Mohammed A. Al Shumrani 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.
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.