Exploring The Algebraic Structures Of Q Complex Neutrosophic Soft Fields

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Exploring the Algebraic Structures of Q-Complex Neutrosophic Soft Fields

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

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Book Synopsis Exploring the Algebraic Structures of Q-Complex Neutrosophic Soft Fields by : Mamika Ujianita Romdhini

Download or read book Exploring the Algebraic Structures of Q-Complex Neutrosophic Soft Fields written by Mamika Ujianita Romdhini and published by Infinite Study. This book was released on 2023-01-01 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: A field is a fundamental algebraic structure that finds extensive applications in algebra and various mathematical domains. On the other hand, a Q-complex neutrosophic soft set (Q-CNSS) is a unique hybrid model that combines the characteristics of soft sets and neutrosophic sets within a complex number framework. It utilizes the effectiveness of Q-set as a powerful tool in the domain of this particular model. In this article, we leverage this model to define fields under uncertainty. We present the Q-complex neutrosophic soft field (Q-CNSF) and examine the unique algebraic properties associated with this model. Additionally, we explore the relationships between Q-CNSF and Q-neutrosophic soft field (Q-NSF). Furthermore, we define the Cartesian product of QCNSFs and delve into the relevant properties. Through this comprehensive exploration, our aim is to enhance the understanding of Q-CNSFs and their properties, ultimately contributing to the field of algebraic analysis and its practical applications in handling uncertainty and vagueness.

An approach to Q-neutrosophic soft rings

Author : Majdoleen Abu Qamar
Publisher : Infinite Study
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4./5 ( download)

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Book Synopsis An approach to Q-neutrosophic soft rings by : Majdoleen Abu Qamar

Download or read book An approach to Q-neutrosophic soft rings written by Majdoleen Abu Qamar and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we introduce the notion of Q-neutrosophic soft rings and discuss some of its related properties. Next, we discuss the cartesian product of Q-neutrosophic soft rings and homomorphic images and preimages of Q-neutrosophic soft rings. Moreover, Q-neutrosophic soft ideals are defined and some of their related properties are explored.

An approach to Q-neutrosophic soft rings

Author : Majdoleen Abu Qamar
Publisher : Infinite Study
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4./5 ( download)

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Book Synopsis An approach to Q-neutrosophic soft rings by : Majdoleen Abu Qamar

Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures

Author : Jana, Chiranjibe
Publisher : IGI Global
ISBN 13 : 1799801926
Total Pages : 439 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures by : Jana, Chiranjibe

Download or read book Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures written by Jana, Chiranjibe and published by IGI Global. This book was released on 2019-10-25 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the world of mathematics, the study of fuzzy relations and its theories are well-documented and a staple in the area of calculative methods. What many researchers and scientists overlook is how fuzzy theory can be applied to industries outside of arithmetic. The framework of fuzzy logic is much broader than professionals realize. There is a lack of research on the full potential this theoretical model can reach. The Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures provides emerging research exploring the theoretical and practical aspects of fuzzy set theory and its real-life applications within the fields of engineering and science. Featuring coverage on a broad range of topics such as complex systems, topological spaces, and linear transformations, this book is ideally designed for academicians, professionals, and students seeking current research on innovations in fuzzy logic in algebra and other matrices.

Basic Neutrosophic Algebraic Structures and Their Application to Fuzzy and Neutrosophic Models

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 193123387X
Total Pages : 149 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Basic Neutrosophic Algebraic Structures and Their Application to Fuzzy and Neutrosophic Models by : W. B. Vasantha Kandasamy

Download or read book Basic Neutrosophic Algebraic Structures and Their Application to Fuzzy and Neutrosophic Models written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2004-01-01 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the involvement of uncertainty of varying degrees, when the total of the membership degree exceeds one or less than one, then the newer mathematical paradigm shift, Fuzzy Theory proves appropriate.For the past two or three decades, Fuzzy Theory has become the potent tool to study and analyze uncertainty involved in all problems. But, many real world problems also abound with the concept of indeterminacy.In this book, the new, powerful tool of neutrosophy that deals with indeterminacy is utilized. Innovative neutrosophic models are described.The theory of neutrosophic graphs is introduced and applied to fuzzy and neutrosophic models.Neutrosophic Logic and Neutrosophic Set (generalizations of Intuitionistic Fuzzy Logic and Intuitionistic Fuzzy Set respectively) became strong tools for applications.

Neutrosophic Graphs: A New Dimension to Graph Theory

Author : Vasantha Kandasamy
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.

Interval Neutrosophic Sets and Logic: Theory and Applications in Computing

Author : Haibin Wang
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.

Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1931233764
Total Pages : 213 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps by : W. B. Vasantha Kandasamy

Download or read book Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2003-01-01 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a world of chaotic alignments, traditional logic with its strict boundaries of truth and falsity has not imbued itself with the capability of reflecting the reality. Despite various attempts to reorient logic, there has remained an essential need for an alternative system that could infuse into itself a representation of the real world. Out of this need arose the system of Neutrosophy (the philosophy of neutralities, introduced by FLORENTIN SMARANDACHE), and its connected logic Neutrosophic Logic, which is a further generalization of the theory of Fuzzy Logic. In this book we study the concepts of Fuzzy Cognitive Maps (FCMs) and their Neutrosophic analogue, the Neutrosophic Cognitive Maps (NCMs). Fuzzy Cognitive Maps are fuzzy structures that strongly resemble neural networks, and they have powerful and far-reaching consequences as a mathematical tool for modeling complex systems. Neutrosophic Cognitive Maps are generalizations of FCMs, and their unique feature is the ability to handle indeterminacy in relations between two concepts thereby bringing greater sensitivity into the results. Some of the varied applications of FCMs and NCMs which has been explained by us, in this book, include: modeling of supervisory systems; design of hybrid models for complex systems; mobile robots and in intimate technology such as office plants; analysis of business performance assessment; formalism debate and legal rules; creating metabolic and regulatory network models; traffic and transportation problems; medical diagnostics; simulation of strategic planning process in intelligent systems; specific language impairment; web-mining inference application; child labor problem; industrial relations: between employer and employee, maximizing production and profit; decision support in intelligent intrusion detection system; hyper-knowledge representation in strategy formation; female infanticide; depression in terminally ill patients and finally, in the theory of community mobilization and women empowerment relative to the AIDS epidemic.

A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability (fourth edition)

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599730804
Total Pages : 157 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability (fourth edition) by : Florentin Smarandache

Download or read book A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability (fourth edition) written by Florentin Smarandache and published by Infinite Study. This book was released on 2005 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: N-Norm and N-conorm are extended in Neutrosophic Logic/Set.

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets

Author : Florentin Smarandache
Publisher : MDPI
ISBN 13 : 3038974757
Total Pages : 450 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets by : Florentin Smarandache

Download or read book Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets written by Florentin Smarandache and published by MDPI. This book was released on 2019-04-04 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded, which have a similar form (x, neut(x), anti(x)), that satisfy several axioms, for each element x in a given set. This collective book presents original research papers by many neutrosophic researchers from around the world, that report on the state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets and their algebraic structures – that have been defined recently in 2016 but have gained interest from world researchers. Connections between classical algebraic structures and neutrosophic triplet / duplet / multiset structures are also studied. And numerous neutrosophic applications in various fields, such as: multi-criteria decision making, image segmentation, medical diagnosis, fault diagnosis, clustering data, neutrosophic probability, human resource management, strategic planning, forecasting model, multi-granulation, supplier selection problems, typhoon disaster evaluation, skin lesson detection, mining algorithm for big data analysis, etc.

Advances and Applications of Fuzzy Sets and Logic

Author : Said Broumi
Publisher : Engineering Science Reference
ISBN 13 : 9781799879800
Total Pages : pages
Book Rating : 4.8/5 (798 download)

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Book Synopsis Advances and Applications of Fuzzy Sets and Logic by : Said Broumi

Download or read book Advances and Applications of Fuzzy Sets and Logic written by Said Broumi and published by Engineering Science Reference. This book was released on 2021-07 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set

Author : Florentin Smarandache
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

Author : Florentin Smarandache
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:

Fuzzy and Neutrosophic Analysis of Periyar's Views on Untouchability

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1931233004
Total Pages : 385 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Fuzzy and Neutrosophic Analysis of Periyar's Views on Untouchability by : W. B. Vasantha Kandasamy

Download or read book Fuzzy and Neutrosophic Analysis of Periyar's Views on Untouchability written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2005 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the first time, the social problem of untouchability, which is peculiar to India, is being studied mathematically.We have used Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps to analyze the views of the revolutionary Periyar E. V. Ramasamy (17.09.1879 24.12.1973) who relentlessly worked for more than five decades to secure the rights of the oppressed people who were considered untouchables. This thought-provoking book will be of great interest to human rights activists, socio-scientists, historians, and above all, mathematicians.From UNESCO citation: Periyar, The Prophet of the New Age, The Socrates of South East Asia, Father of the Social reform Movement and Arch Enemy of Ignorance, Superstition, Meaningless Customs and Baseless Manners.

Elementary Fuzzy Matrix Theory and Fuzzy Models for Social Scientists

Author : W. B. Vasantha Kandasamy, Florentin Smarandache, K. Ilanthenral
Publisher : Infinite Study
ISBN 13 : 1599730057
Total Pages : 352 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Elementary Fuzzy Matrix Theory and Fuzzy Models for Social Scientists by : W. B. Vasantha Kandasamy, Florentin Smarandache, K. Ilanthenral

Download or read book Elementary Fuzzy Matrix Theory and Fuzzy Models for Social Scientists written by W. B. Vasantha Kandasamy, Florentin Smarandache, K. Ilanthenral and published by Infinite Study. This book was released on 2007-03-01 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Neutrosophic Rings

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1931233209
Total Pages : 154 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Neutrosophic Rings by : W. B. Vasantha Kandasamy

Download or read book Neutrosophic Rings written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2006-01-01 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research on algebraic structure of group rings is one of the leading, most sought-after topics in ring theory. The new class of neutrosophic rings defined in this book form a generalization of group rings and semigroup rings.The study of the classes of neutrosophic group neutrosophic rings and S-neutrosophic semigroup neutrosophic rings which form a type of generalization of group rings will throw light on group rings and semigroup rings which are essential substructures of them. A salient feature of this group is the many suggested problems on the new classes of neutrosophic rings, solutions of which will certainly develop some of the still open problems in group rings.Further, neutrosophic matrix rings find applications in neutrosophic models like Neutrosophic Cognitive Maps (NCM), Neutrosophic Relational Maps (NRM), Neutrosophic Bidirectional Memories (NBM) and so on.

Topological Transformation Groups

Author : Deane Montgomery
Publisher : Courier Dover Publications
ISBN 13 : 0486831582
Total Pages : 305 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Topological Transformation Groups by : Deane Montgomery

Download or read book Topological Transformation Groups written by Deane Montgomery and published by Courier Dover Publications. This book was released on 2018-06-13 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: An advanced monograph on the subject of topological transformation groups, this volume summarizes important research conducted during a period of lively activity in this area of mathematics. The book is of particular note because it represents the culmination of research by authors Deane Montgomery and Leo Zippin, undertaken in collaboration with Andrew Gleason of Harvard University, that led to their solution of a well-known mathematical conjecture, Hilbert's Fifth Problem. The treatment begins with an examination of topological spaces and groups and proceeds to locally compact groups and groups with no small subgroups. Subsequent chapters address approximation by Lie groups and transformation groups, concluding with an exploration of compact transformation groups.