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Fuzzy Graphs And Fuzzy Hypergraphs
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Book Synopsis Fuzzy Graphs and Fuzzy Hypergraphs by : John N. Mordeson
Download or read book Fuzzy Graphs and Fuzzy Hypergraphs written by John N. Mordeson and published by Physica. This book was released on 2012-11-08 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the course of fuzzy technological development, fuzzy graph theory was identified quite early on for its importance in making things work. Two very important and useful concepts are those of granularity and of nonlinear ap proximations. The concept of granularity has evolved as a cornerstone of Lotfi A.Zadeh's theory of perception, while the concept of nonlinear approx imation is the driving force behind the success of the consumer electronics products manufacturing. It is fair to say fuzzy graph theory paved the way for engineers to build many rule-based expert systems. In the open literature, there are many papers written on the subject of fuzzy graph theory. However, there are relatively books available on the very same topic. Professors' Mordeson and Nair have made a real contribution in putting together a very com prehensive book on fuzzy graphs and fuzzy hypergraphs. In particular, the discussion on hypergraphs certainly is an innovative idea. For an experienced engineer who has spent a great deal of time in the lab oratory, it is usually a good idea to revisit the theory. Professors Mordeson and Nair have created such a volume which enables engineers and design ers to benefit from referencing in one place. In addition, this volume is a testament to the numerous contributions Professor John N. Mordeson and his associates have made to the mathematical studies in so many different topics of fuzzy mathematics.
Book Synopsis Fuzzy Graphs and Fuzzy Hypergraphs by : John N. Mordeson
Download or read book Fuzzy Graphs and Fuzzy Hypergraphs written by John N. Mordeson and published by . This book was released on 2014-09-01 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Handbook of Research on Advanced Applications of Graph Theory in Modern Society by : Pal, Madhumangal
Download or read book Handbook of Research on Advanced Applications of Graph Theory in Modern Society written by Pal, Madhumangal and published by IGI Global. This book was released on 2019-08-30 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the world of mathematics and computer science, technological advancements are constantly being researched and applied to ongoing issues. Setbacks in social networking, engineering, and automation are themes that affect everyday life, and researchers have been looking for new techniques in which to solve these challenges. Graph theory is a widely studied topic that is now being applied to real-life problems. The Handbook of Research on Advanced Applications of Graph Theory in Modern Society is an essential reference source that discusses recent developments on graph theory, as well as its representation in social networks, artificial neural networks, and many complex networks. The book aims to study results that are useful in the fields of robotics and machine learning and will examine different engineering issues that are closely related to fuzzy graph theory. Featuring research on topics such as artificial neural systems and robotics, this book is ideally designed for mathematicians, research scholars, practitioners, professionals, engineers, and students seeking an innovative overview of graphic theory.
Book Synopsis Fuzzy Hypergraphs and Related Extensions by : Muhammad Akram
Download or read book Fuzzy Hypergraphs and Related Extensions written by Muhammad Akram and published by Springer Nature. This book was released on 2020-02-01 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the fundamental and technical concepts of fuzzy hypergraphs and explains their extensions and applications. It discusses applied generalized mathematical models of hypergraphs, including complex, intuitionistic, bipolar, m-polar fuzzy, Pythagorean, complex Pythagorean, and q-rung orthopair hypergraphs, as well as single-valued neutrosophic, complex neutrosophic and bipolar neutrosophic hypergraphs. In addition, the book also sheds light on real-world applications of these hypergraphs, making it a valuable resource for students and researchers in the field of mathematics, as well as computer and social scientists.
Book Synopsis Fuzzy Graph Theory by : Sunil Mathew
Download or read book Fuzzy Graph Theory written by Sunil Mathew and published by Springer. This book was released on 2017-12-30 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a timely overview of fuzzy graph theory, laying the foundation for future applications in a broad range of areas. It introduces readers to fundamental theories, such as Craine’s work on fuzzy interval graphs, fuzzy analogs of Marczewski’s theorem, and the Gilmore and Hoffman characterization. It also introduces them to the Fulkerson and Gross characterization and Menger’s theorem, the applications of which will be discussed in a forthcoming book by the same authors. This book also discusses in detail important concepts such as connectivity, distance and saturation in fuzzy graphs. Thanks to the good balance between the basics of fuzzy graph theory and new findings obtained by the authors, the book offers an excellent reference guide for advanced undergraduate and graduate students in mathematics, engineering and computer science, and an inspiring read for all researchers interested in new developments in fuzzy logic and applied mathematics.
Book Synopsis m−Polar Fuzzy Graphs by : Muhammad Akram
Download or read book m−Polar Fuzzy Graphs written by Muhammad Akram and published by Springer. This book was released on 2018-11-13 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides readers with an introduction to m-polar fuzzy graphs and m-polar fuzzy hypergraphs, covering both theories and applications. A special emphasis is given to m-polar fuzzy graphs at the aim of filling a gap in the literature, namely the absence of a mathematical approach to analyze multi-index, multipolar, and multi-attribute data. The book describes metrics and labeling in m-polar graphs, m-polar fuzzy matroids. It also discusses in detail important applications in decision-making problems and imaging processing. The book is expected to stimulate the curiosity of mathematics, computer scientists, and social scientists alike, and to provide both students and researchers with the necessary knowledge to understand and apply m−polar fuzzy graph theory.
Book Synopsis Modern Trends in Fuzzy Graph Theory by : Madhumangal Pal
Download or read book Modern Trends in Fuzzy Graph Theory written by Madhumangal Pal and published by Springer Nature. This book was released on 2020-11-02 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an extensive set of tools for applying fuzzy mathematics and graph theory to real-life problems. Balancing the basics and latest developments in fuzzy graph theory, this book starts with existing fundamental theories such as connectivity, isomorphism, products of fuzzy graphs, and different types of paths and arcs in fuzzy graphs to focus on advanced concepts such as planarity in fuzzy graphs, fuzzy competition graphs, fuzzy threshold graphs, fuzzy tolerance graphs, fuzzy trees, coloring in fuzzy graphs, bipolar fuzzy graphs, intuitionistic fuzzy graphs, m-polar fuzzy graphs, applications of fuzzy graphs, and more. Each chapter includes a number of key representative applications of the discussed concept. An authoritative, self-contained, and inspiring read on the theory and modern applications of fuzzy graphs, this book is of value to advanced undergraduate and graduate students of mathematics, engineering, and computer science, as well as researchers interested in new developments in fuzzy logic and applied mathematics.
Book Synopsis Complex Neutrosophic Hypergraphs: New Social Network Models by : Anam Luqman
Download or read book Complex Neutrosophic Hypergraphs: New Social Network Models written by Anam Luqman and published by Infinite Study. This book was released on with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complex neutrosophic set is a useful model to handle indeterminate situations with a periodic nature. This is characterized by truth, indeterminacy, and falsity degrees which are the combination of real-valued amplitude terms and complex-valued phase terms. Hypergraphs are objects that enable us to dig out invisible connections between the underlying structures of complex systems such as those leading to sustainable development. In this paper, we apply the most fruitful concept of complex neutrosophic sets to theory of hypergraphs.
Book Synopsis Fuzzy Sets and Their Applications to Cognitive and Decision Processes by : Lotfi A. Zadeh
Download or read book Fuzzy Sets and Their Applications to Cognitive and Decision Processes written by Lotfi A. Zadeh and published by Academic Press. This book was released on 2014-06-28 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy Sets and Their Applications to Cognitive and Decision Processes contains the proceedings of the U.S.-Japan Seminar on Fuzzy Sets and Their Applications, held at the University of California in Berkeley, California, on July 1-4, 1974. The seminar provided a forum for discussing a broad spectrum of topics related to the theory of fuzzy sets, ranging from its mathematical aspects to applications in human cognition, communication, decision making, and engineering systems analysis. Comprised of 19 chapters, this book begins with an introduction to the calculus of fuzzy restrictions, followed by a discussion on fuzzy programs and their execution. Subsequent chapters focus on fuzzy relations, fuzzy graphs, and their applications to clustering analysis; risk and decision making in a fuzzy environment; fractionally fuzzy grammars and their application to pattern recognition; and applications of fuzzy sets in psychology. An approach to pattern recognition and associative memories using fuzzy logic is also described. This monograph will be of interest to students and practitioners in the fields of computer science, engineering, psychology, and applied mathematics.
Book Synopsis Graphs for the Analysis of Bipolar Fuzzy Information by : Muhammad Akram
Download or read book Graphs for the Analysis of Bipolar Fuzzy Information written by Muhammad Akram and published by Springer Nature. This book was released on 2020-11-02 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph discusses decision making methods under bipolar fuzzy graphical models with the aim of overcoming the lack of mathematical approach towards bipolar information—positive and negative. It investigates the properties of bipolar fuzzy graphs, their distance functions, and concept of their isomorphism. It presents certain notions, including irregular bipolar fuzzy graphs, domination in bipolar fuzzy graphs, bipolar fuzzy circuits, energy in bipolar fuzzy graphs, bipolar single-valued neutrosophic competition graphs, and bipolar neutrosophic graph structures. This book also presents the applications of mentioned concepts to real-world problems in areas of product manufacturing, international relations, psychology, global terrorism and more, making it valuable for researchers, computer scientists, social scientists and alike.
Book Synopsis Encyclopedia of Artificial Intelligence by : Juan Ramon Rabunal
Download or read book Encyclopedia of Artificial Intelligence written by Juan Ramon Rabunal and published by IGI Global. This book was released on 2009-01-01 with total page 1640 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is a comprehensive and in-depth reference to the most recent developments in the field covering theoretical developments, techniques, technologies, among others"--Provided by publisher.
Book Synopsis SINGLE-VALUED NEUTROSOPHIC HYPERGRAPHS by : MUHAMMAD AKRAM
Download or read book SINGLE-VALUED NEUTROSOPHIC HYPERGRAPHS written by MUHAMMAD AKRAM and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy set theory was introduced by Zadeh [17] to solve diculties in dealing with uncertainties. Since then the theory of fuzzy sets and fuzzy logic have been examined by many researchers to solve many real life problems, involving ambiguous and uncertain environment. Atanassov [3] introduced the concept of intuitionistic fuzzy set as an extension of Zadeh's fuzzy set [17]. An intuitionistic fuzzy set can be viewed as an alternative approach when available information is not sucient to de ne the impreciseness by the conventional fuzzy set.
Book Synopsis SINGLE-VALUED NEUTROSOPHIC HYPERGRAPHS by : MUHAMMAD AKRAM
Download or read book SINGLE-VALUED NEUTROSOPHIC HYPERGRAPHS written by MUHAMMAD AKRAM and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: We introduce certain concepts, including single-valued neutrosophic hyper-graph, line graph of single-valued neutrosophic hypergraph, dual single-valued neutrosophic hypergraph and transversal single-valued neutrosophic hypergraph.
Download or read book Hypergraph Theory written by Alain Bretto and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to hypergraphs, its aim being to overcome the lack of recent manuscripts on this theory. In the literature hypergraphs have many other names such as set systems and families of sets. This work presents the theory of hypergraphs in its most original aspects, while also introducing and assessing the latest concepts on hypergraphs. The variety of topics, their originality and novelty are intended to help readers better understand the hypergraphs in all their diversity in order to perceive their value and power as mathematical tools. This book will be a great asset to upper-level undergraduate and graduate students in computer science and mathematics. It has been the subject of an annual Master's course for many years, making it also ideally suited to Master's students in computer science, mathematics, bioinformatics, engineering, chemistry, and many other fields. It will also benefit scientists, engineers and anyone else who wants to understand hypergraphs theory.
Book Synopsis A Study of Regular and Irregular Neutrosophic Graphs with Real Life Applications by : Liangsong Huang
Download or read book A Study of Regular and Irregular Neutrosophic Graphs with Real Life Applications written by Liangsong Huang and published by Infinite Study. This book was released on with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy graph theory is a useful and well-known tool to model and solve many real-life optimization problems. Since real-life problems are often uncertain due to inconsistent and indeterminate information, it is very hard for an expert to model those problems using a fuzzy graph. A neutrosophic graph can deal with the uncertainty associated with the inconsistent and indeterminate information of any real-world problem, where fuzzy graphs may fail to reveal satisfactory results.
Book Synopsis Regular and Totally Regular Interval Valued Neutrosophic Hypergraphs by : Ali Hassan
Download or read book Regular and Totally Regular Interval Valued Neutrosophic Hypergraphs written by Ali Hassan and published by Infinite Study. This book was released on with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we define the regular and the totally regular interval valued neutrosophic hypergraphs, and discuss the order and size along with properties of the regular and the totally regular single valued neutrosophic hypergraphs. We extend work to completeness of interval valued neutrosophic hypergraphs.
Book Synopsis Concentric Plithogenic Hypergraph based on Plithogenic Hypersoft sets – A Novel Outlook by : Nivetha Martin
Download or read book Concentric Plithogenic Hypergraph based on Plithogenic Hypersoft sets – A Novel Outlook written by Nivetha Martin and published by Infinite Study. This book was released on 2020-06-01 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plithogenic Hypersoft sets (PHS) introduced by Smarandache are the extensions of soft sets and hypersoft sets and it was further protracted to plithogenic fuzzy whole Hypersoft set to make it more applicable to multi attribute decision making environment.
