Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set by : Florentin Smarandache

Download or read book Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set written by Florentin Smarandache and published by Infinite Study. This book was released on 2010-08-23 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Neutrosophy

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Publisher :
ISBN 13 :
Total Pages : 110 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Neutrosophy by : Florentin Smarandache

Download or read book Neutrosophy written by Florentin Smarandache and published by . This book was released on 1998 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Neutrosophic Sets in Decision Analysis and Operations Research

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Publisher : IGI Global
ISBN 13 : 1799825574
Total Pages : 470 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Neutrosophic Sets in Decision Analysis and Operations Research by : Abdel-Basset, Mohamed

Download or read book Neutrosophic Sets in Decision Analysis and Operations Research written by Abdel-Basset, Mohamed and published by IGI Global. This book was released on 2019-12-27 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: In information technology, the concepts of cost, time, delivery, space, quality, durability, and price have gained greater importance in solving managerial decision-making problems in supply chain models, transportation problems, and inventory control problems. Moreover, competition is becoming tougher in imprecise environments. Neutrosophic sets and logic are gaining significant attention in solving real-life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistency, and indeterminacy. Neutrosophic Sets in Decision Analysis and Operations Research is a critical, scholarly publication that examines various aspects of organizational research through mathematical equations and algorithms and presents neutrosophic theories and their applications in various optimization fields. Featuring a wide range of topics such as information retrieval, decision making, and matrices, this book is ideal for engineers, technicians, designers, mathematicians, practitioners of mathematics in economy and technology, scientists, academicians, professionals, managers, researchers, and students.

New Trends in Neutrosophic Theory and Applications

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Publisher : Infinite Study
ISBN 13 : 1599734982
Total Pages : 426 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis New Trends in Neutrosophic Theory and Applications by : Florentin Smarandache (editor)

Download or read book New Trends in Neutrosophic Theory and Applications written by Florentin Smarandache (editor) and published by Infinite Study. This book was released on 2016-11-05 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Interval Neutrosophic Sets and Logic: Theory and Applications in Computing

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Publisher : Infinite Study
ISBN 13 : 1931233942
Total Pages : 99 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Interval Neutrosophic Sets and Logic: Theory and Applications in Computing by : Haibin Wang

Download or read book Interval Neutrosophic Sets and Logic: Theory and Applications in Computing written by Haibin Wang and published by Infinite Study. This book was released on 2005 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the advancements and applications of neutrosophics, which are generalizations of fuzzy logic, fuzzy set, and imprecise probability. The neutrosophic logic, neutrosophic set, neutrosophic probability, and neutrosophic statistics are increasingly used in engineering applications (especially for software and information fusion), medicine, military, cybernetics, physics.In the last chapter a soft semantic Web Services agent framework is proposed to facilitate the registration and discovery of high quality semantic Web Services agent. The intelligent inference engine module of soft semantic Web Services agent is implemented using interval neutrosophic logic.

NEUTROSOPHIC TRIPLET STRUCTURES, Volume I

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4./5 ( download)

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Book Synopsis NEUTROSOPHIC TRIPLET STRUCTURES, Volume I by : Florentin Smarandache

Download or read book NEUTROSOPHIC TRIPLET STRUCTURES, Volume I written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this chapter, we introduce neutrosophic triplet cosets for neutrosophic triplet G-module and neutrosophic triplet quotient G-module. Then, we give some definitions and examples for neutrosophic triplet quotient G-module and neutrosophic triplet cosets. Also, we obtain isomorphism theorems for neutrosophic triplet G-modules and we prove isomorphism theorems for neutrosophic triplet G-modules.

Similarity Measures of Quadripartitioned Single Valued Bipolar Neutrosophic Sets and Its Application in Multi-Criteria Decision Making Problems

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4./5 ( download)

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Book Synopsis Similarity Measures of Quadripartitioned Single Valued Bipolar Neutrosophic Sets and Its Application in Multi-Criteria Decision Making Problems by : Subhadip Roy

Download or read book Similarity Measures of Quadripartitioned Single Valued Bipolar Neutrosophic Sets and Its Application in Multi-Criteria Decision Making Problems written by Subhadip Roy and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, a definition of quadripartitioned single valued bipolar neutrosophic set (QSVBNS) is introduced as a generalization of both quadripartitioned single valued neutrosophic sets (QSVNS) and bipolar neutrosophic sets (BNS). There is an inherent symmetry in the definition of QSVBNS. Some operations on them are defined and a set theoretic study is accomplished. Various similarity measures and distance measures are defined on QSVBNS. An algorithm relating to multi-criteria decision making problem is presented based on quadripartitioned bipolar weighted similarity measure. Finally, an example is shown to verify the flexibility of the given method and the advantage of considering QSVBNS in place of fuzzy sets and bipolar fuzzy sets.

New Single-Valued Neutrosophic Rough Sets and Related Topology

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4./5 ( download)

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Book Synopsis New Single-Valued Neutrosophic Rough Sets and Related Topology by : Qiu Jin

Download or read book New Single-Valued Neutrosophic Rough Sets and Related Topology written by Qiu Jin and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: (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.

New Distance Measure of Single-Valued Neutrosophic Sets and Its Application

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4./5 ( download)

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Book Synopsis New Distance Measure of Single-Valued Neutrosophic Sets and Its Application by : Han-Liang Huang

Download or read book New Distance Measure of Single-Valued Neutrosophic Sets and Its Application written by Han-Liang Huang and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: A single-valued neutrosophic set (SVNS) is an instance of a neutrosophic set, which can be used to handle uncertainty, imprecise, indeterminate, and inconsistent information in real life. In this paper, a new distance measure between two SVNSs is defined by the full consideration of truthmembership function, indeterminacy-membership function, and falsity-membership function for the forward and backward differences. Then the similarity measure, the entropy measure, and the index of distance are also presented. Finally, two illustrative examples are given to demonstrate the effectiveness of the proposed clustering method and multicriteria decision-making method based on the distance (similarity) measure between SVNSs.

Operators on Single Valued Trapezoidal Neutrosophic Numbers and SVTN-Group Decision Making

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4./5 ( download)

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Book Synopsis Operators on Single Valued Trapezoidal Neutrosophic Numbers and SVTN-Group Decision Making by : Irfan Deli

Download or read book Operators on Single Valued Trapezoidal Neutrosophic Numbers and SVTN-Group Decision Making written by Irfan Deli and published by Infinite Study. This book was released on with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we first introduce single valued trapezoidal neutrosophic (SVTN) numbers with their properties. We then define some operations and distances of the SVTN-numbers. Based on these new operations, we also define some aggregation operators, including SVTN-ordered weighted geometric operator, SVTN-hybrid geometric operator, SVTN-ordered weighted arithmetic operator and SVTN-hybrid arithmetic operator. We then examine the properties of these SVTN-information aggregation operators. By using the SVTN-weighted geometric operator and SVTN-hybrid geometric operator, we also define a multi attribute group decision making method, called SVTN-group decision making method. We finally give an illustrative example and comparative analysis to verify the developed method and to demonstrate its practicality and effectiveness.

Algorithms for single-valued neutrosophic decision making based on TOPSIS and clustering methods with new distance measure

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4./5 ( download)

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Book Synopsis Algorithms for single-valued neutrosophic decision making based on TOPSIS and clustering methods with new distance measure by : Harish Garg

Download or read book Algorithms for single-valued neutrosophic decision making based on TOPSIS and clustering methods with new distance measure written by Harish Garg and published by Infinite Study. This book was released on with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: Single-valued neutrosophic set (SVNS) is an important contrivance for directing the decision-making queries with unknown and indeterminant data by employing a degree of “acceptance”, “indeterminacy”, and “non-acceptance” in quantitative terms. Under this set, the objective of this paper is to propose some new distance measures to find discrimination between the SVNSs. The basic axioms of the measures have been highlighted and examined their properties. Furthermore, to examine the relevance of proposed measures, an extended TOPSIS (“technique for order preference by similarity to ideal solution”) method is introduced to solve the group decision-making problems. Additionally, a new clustering technique is proposed based on the stated measures to classify the objects. The advantages, comparative analysis as well as superiority analysis is given to shows its influence over existing approaches.

Single-Valued Neutrosophic Graphs

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Publisher : Springer
ISBN 13 : 9811335222
Total Pages : 389 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Single-Valued Neutrosophic Graphs by : Muhammad Akram

Download or read book Single-Valued Neutrosophic Graphs written by Muhammad Akram and published by Springer. This book was released on 2018-12-30 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses single-valued neutrosophic graphs and their applications. In addition, it introduces readers to a number of central concepts, including certain types of single-valued neutrosophic graphs, energy of single-valued neutrosophic graphs, bipolar single-valued neutrosophic planar graphs, isomorphism of intuitionistic single-valued neutrosophic soft graphs, and single-valued neutrosophic soft rough graphs. Divided into eight chapters, the book seeks to remedy the lack of a mathematical approach to indeterminate and inconsistent information. Chap. 1 presents a concise review of single-valued neutrosophic sets, while Chap. 2 explains the notion of neutrosophic graph structures and explores selected properties of neutrosophic graph structures. Chap. 3 discusses specific bipolar neutrosophic graphs. Chap. 4 highlights the concept of interval-valued neutrosophic graphs, while Chap. 5 presents certain notions concerning interval-valued neutrosophic graph structures. Chap. 6 addresses the concepts of rough neutrosophic digraphs and neutrosophic rough digraphs. Chap. 7 focuses on the concepts of neutrosophic soft graphs and intuitionistic neutrosophic soft graphs, before Chap. 8 rounds out the book by considering neutrosophic soft rough graphs.

Neutrosophic Graphs: A New Dimension to Graph Theory

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Publisher : Infinite Study
ISBN 13 : 1599733625
Total Pages : 127 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Neutrosophic Graphs: A New Dimension to Graph Theory by : Vasantha Kandasamy

Download or read book Neutrosophic Graphs: A New Dimension to Graph Theory written by Vasantha Kandasamy and published by Infinite Study. This book was released on 2015 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies to neutrosophic graphs happens to be not only innovative and interesting, but gives a new dimension to graph theory. The classic coloring of edge problem happens to give various results. Neutrosophic tree will certainly find lots of applications in data mining when certain levels of indeterminacy is involved in the problem. Several open problems are suggested.

Gaussian single-valued neutrosophic numbers and its application in multi-attribute decision making

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4./5 ( download)

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Book Synopsis Gaussian single-valued neutrosophic numbers and its application in multi-attribute decision making by : Faruk KARAASLAN

Download or read book Gaussian single-valued neutrosophic numbers and its application in multi-attribute decision making written by Faruk KARAASLAN and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fuzzy set and intuitionistic fuzzy set are two useful mathematical tool for dealing with impression and uncertainty. However sometimes these theories may not suffice to model indeterminate and inconsistent information encountered in real world.

On single valued neutrosophic refined rough set model and its application

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4./5 ( download)

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Book Synopsis On single valued neutrosophic refined rough set model and its application by : Yan-Ling Bao

Download or read book On single valued neutrosophic refined rough set model and its application written by Yan-Ling Bao and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic set (NS) theory was originally established by Smarandache for handling indeterminate and inconsistent information.

Neutrosophic Sets: An Overview

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets: An Overview by : Said Broumi

Download or read book Neutrosophic Sets: An Overview written by Said Broumi and published by Infinite Study. This book was released on with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Hesitant Fuzzy Set

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Publisher : Springer Nature
ISBN 13 : 9811673012
Total Pages : 162 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Hesitant Fuzzy Set by : Bahram Farhadinia

Download or read book Hesitant Fuzzy Set written by Bahram Farhadinia and published by Springer Nature. This book was released on 2021-12-04 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering a wide range of notions concerning hesitant fuzzy set and its extensions, this book provides a comprehensive reference to the topic. In the case where different sources of vagueness appear simultaneously, the concept of fuzzy set is not able to properly model the uncertainty, imprecise and vague information. In order to overcome such a limitation, different types of fuzzy extension have been introduced so far. Among them, hesitant fuzzy set was first introduced in 2010, and the existing extensions of hesitant fuzzy set have been encountering an increasing interest and attracting more and more attentions up to now. It is not an exaggeration to say that the recent decade has seen the blossoming of a larger set of techniques and theoretical outcomes for hesitant fuzzy set together with its extensions as well as applications.As the research has moved beyond its infancy, and now it is entering a maturing phase with increased numbers and types of extensions, this book aims to give a comprehensive review of such researches. Presenting the review of many and important types of hesitant fuzzy extensions, and including references to a large number of related publications, this book will serve as a useful reference book for researchers in this field.