Advanced Topics In Fuzzy Graph Theory

Author : John N. Mordeson,Sunil Mathew
Publisher : Springer
Page : 209 pages
File Size : 45,6 Mb
Release : 2018-12-13
Category : Technology & Engineering
ISBN : 9783030042158

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Advanced Topics in Fuzzy Graph Theory by John N. Mordeson,Sunil Mathew Pdf

This book builds on two recently published books by the same authors on fuzzy graph theory. Continuing in their tradition, it provides readers with an extensive set of tools for applying fuzzy mathematics and graph theory to social problems such as human trafficking and illegal immigration. Further, it especially focuses on advanced concepts such as connectivity and Wiener indices in fuzzy graphs, distance, operations on fuzzy graphs involving t-norms, and the application of dialectic synthesis in fuzzy graph theory. Each chapter also discusses a number of key, representative applications. Given its approach, the book provides readers with an authoritative, self-contained guide to – and at the same time an inspiring read on – the theory and modern applications of fuzzy graphs. For newcomers, the book also includes a brief introduction to fuzzy sets, fuzzy relations and fuzzy graphs.

Author : Madhumangal Pal,Sovan Samanta,Ganesh Ghorai
Publisher : Springer Nature
Page : 323 pages
File Size : 40,5 Mb
Release : 2020-11-02
Category : Mathematics
ISBN : 9789811588037

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Modern Trends in Fuzzy Graph Theory by Madhumangal Pal,Sovan Samanta,Ganesh Ghorai Pdf

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.

Author : Sunil Mathew,John N. Mordeson,Davender S. Malik
Publisher : Springer
Page : 320 pages
File Size : 54,7 Mb
Release : 2017-12-30
Category : Technology & Engineering
ISBN : 9783319714073

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Fuzzy Graph Theory by Sunil Mathew,John N. Mordeson,Davender S. Malik Pdf

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.

Author : John N. Mordeson,Sunil Mathew,Davender S. Malik
Publisher : Springer
Page : 250 pages
File Size : 44,9 Mb
Release : 2018-03-14
Category : Technology & Engineering
ISBN : 9783319764542

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Fuzzy Graph Theory with Applications to Human Trafficking by John N. Mordeson,Sunil Mathew,Davender S. Malik Pdf

This book reports on advanced concepts in fuzzy graph theory, showing a set of tools that can be successfully applied to understanding and modeling illegal human trafficking. Building on the previous book on fuzzy graph by the same authors, which set the fundamentals for readers to understand this developing field of research, this second book gives a special emphasis to applications of the theory. For this, authors introduce new concepts, such as intuitionistic fuzzy graphs, the concept of independence and domination in fuzzy graphs, as well as directed fuzzy networks, incidence graphs and many more.

Author : Apostolos Syropoulos,Theophanes Grammenos
Publisher : John Wiley & Sons
Page : 384 pages
File Size : 40,7 Mb
Release : 2020-07-01
Category : Technology & Engineering
ISBN : 9781119445296

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A Modern Introduction to Fuzzy Mathematics by Apostolos Syropoulos,Theophanes Grammenos Pdf

Provides readers with the foundations of fuzzy mathematics as well as more advanced topics A Modern Introduction to Fuzzy Mathematics provides a concise presentation of fuzzy mathematics., moving from proofs of important results to more advanced topics, like fuzzy algebras, fuzzy graph theory, and fuzzy topologies. The authors take the reader through the development of the field of fuzzy mathematics, starting with the publication in 1965 of Lotfi Asker Zadeh's seminal paper, Fuzzy Sets. The book begins with the basics of fuzzy mathematics before moving on to more complex topics, including: Fuzzy sets Fuzzy numbers Fuzzy relations Possibility theory Fuzzy abstract algebra And more Perfect for advanced undergraduate students, graduate students, and researchers with an interest in the field of fuzzy mathematics, A Modern Introduction to Fuzzy Mathematics walks through both foundational concepts and cutting-edge, new mathematics in the field.

Author : Pal, Madhumangal,Samanta, Sovan,Pal, Anita
Publisher : IGI Global
Page : 591 pages
File Size : 48,9 Mb
Release : 2019-08-30
Category : Computers
ISBN : 9781522593829

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Handbook of Research on Advanced Applications of Graph Theory in Modern Society by Pal, Madhumangal,Samanta, Sovan,Pal, Anita Pdf

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.

Author : John N. Mordeson,Premchand S. Nair
Publisher : Physica
Page : 256 pages
File Size : 41,5 Mb
Release : 2012-11-08
Category : Mathematics
ISBN : 9783790818543

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Fuzzy Graphs and Fuzzy Hypergraphs by John N. Mordeson,Premchand S. Nair Pdf

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.

Author : Sugumaran D,Souvik Pal,Dac-Nhuong Le,Noor Zaman Jhanjhi
Publisher : CRC Press
Page : 565 pages
File Size : 40,6 Mb
Release : 2023-06-15
Category : Computers
ISBN : 9781000959307

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Recent Trends in Computational Intelligence and Its Application by Sugumaran D,Souvik Pal,Dac-Nhuong Le,Noor Zaman Jhanjhi Pdf

The increase in computing power and sensor data has driven Information Technology on end devices, such as smart phones or automobiles. The widespread application of IT across the globe includes manufacturing, engineering, retail, e-commerce, health care, education, financial services, banking, space exploration, politics (to help predict the sentiments of voter demographics), etc. The papers in this conference proceeding examine and discuss various interdisciplinary researches that could accelerate the advent of Information Technology.

Author : John N. Mordeson,Sunil Mathew
Publisher : Springer Nature
Page : 237 pages
File Size : 43,7 Mb
Release : 2020-06-22
Category : Technology & Engineering
ISBN : 9783030485238

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Sustainable Development Goals: Analysis by Mathematics of Uncertainty by John N. Mordeson,Sunil Mathew Pdf

This book uses mathematics of uncertainty to examine how well countries are achieving the 17 Sustainable Development Goals (SDGs) set by the members of the United Nations, with a focus on climate change, human trafficking and modern slavery. Although this approach has never been used before, mathematics of uncertainty is well suited to exploring these topics due to the lack of accurate data available. The authors place several scientific studies in a mathematical setting to pave the way for future research on issues of sustainability, climate change, human trafficking and modern slavery to using a wide range of mathematical techniques. Moreover, the book ranks countries in terms of their achievement of not only the SDGs, but in particular those SDGs pertinent to climate change, human trafficking, and modern slavery, and highlights the deficiencies in the foster care system that lead to human trafficking. As such it is an excellent reference resource for advanced undergraduate and graduate students in mathematics and the social sciences, as well as for researchers and teachers.

Author : John N. Mordeson
Publisher : Springer Nature
Page : 286 pages
File Size : 40,9 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9783031617706

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Sustainability and Global Challenges by John N. Mordeson Pdf

Author : Cengiz Kahraman,Selcuk Cebi,Sezi Cevik Onar,Basar Oztaysi,A. Cagri Tolga,Irem Ucal Sari
Publisher : Springer
Page : 1392 pages
File Size : 54,5 Mb
Release : 2019-07-05
Category : Technology & Engineering
ISBN : 9783030237561

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Intelligent and Fuzzy Techniques in Big Data Analytics and Decision Making by Cengiz Kahraman,Selcuk Cebi,Sezi Cevik Onar,Basar Oztaysi,A. Cagri Tolga,Irem Ucal Sari Pdf

This book includes the proceedings of the Intelligent and Fuzzy Techniques INFUS 2019 Conference, held in Istanbul, Turkey, on July 23–25, 2019. Big data analytics refers to the strategy of analyzing large volumes of data, or big data, gathered from a wide variety of sources, including social networks, videos, digital images, sensors, and sales transaction records. Big data analytics allows data scientists and various other users to evaluate large volumes of transaction data and other data sources that traditional business systems would be unable to tackle. Data-driven and knowledge-driven approaches and techniques have been widely used in intelligent decision-making, and they are increasingly attracting attention due to their importance and effectiveness in addressing uncertainty and incompleteness. INFUS 2019 focused on intelligent and fuzzy systems with applications in big data analytics and decision-making, providing an international forum that brought together those actively involved in areas of interest to data science and knowledge engineering. These proceeding feature about 150 peer-reviewed papers from countries such as China, Iran, Turkey, Malaysia, India, USA, Spain, France, Poland, Mexico, Bulgaria, Algeria, Pakistan, Australia, Lebanon, and Czech Republic.

Author : Phan Cong Vinh
Publisher : Springer Nature
Page : 194 pages
File Size : 40,9 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9783031594625

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Nature of Computation and Communication by Phan Cong Vinh Pdf

Author : Madan M. Gupta,Rammohan K. Ragade,Ronald R. Yager
Publisher : North-Holland
Page : 782 pages
File Size : 43,9 Mb
Release : 1979
Category : Mathematics
ISBN : UOM:39015015613071

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Advances in Fuzzy Set Theory and Applications by Madan M. Gupta,Rammohan K. Ragade,Ronald R. Yager Pdf

Author : Hans-Jürgen Zimmermann
Publisher : Springer Science & Business Media
Page : 408 pages
File Size : 47,9 Mb
Release : 2013-03-09
Category : Business & Economics
ISBN : 9789401579490

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Fuzzy Set Theory — and Its Applications by Hans-Jürgen Zimmermann Pdf

Since its inception 20 years ago the theory of fuzzy sets has advanced in a variety of ways and in many disciplines. Applications of this theory can be found in artificial intelligence, computer science, control engineering, decision theory, expert systems, logic, management science, operations research, pattern recognition, robotics and others. Theoretical advances, too, have been made in many directions, and a gap has arisen between advanced theoretical topics and applications, which often use the theory at a rather elementary level. The primary goal of this book is to close this gap - to provide a textbook for courses in fuzzy set theory and a book that can be used as an introduction. This revised book updates the research agenda, with the chapters of possibility theory, fuzzy logic and approximate reasoning, expert systems and control, decision making and fuzzy set models in operations research being restructured and rewritten. Exercises have been added to almost all chapters and a teacher's manual is available upon request.

Author : G. DIVYA, J. MALARVIZHI
Publisher : Infinite Study
Page : 6 pages
File Size : 40,6 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 8210379456XXX

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SOME OPERATIONS ON NEUTROSOPHIC FUZZY GRAPHS by G. DIVYA, J. MALARVIZHI Pdf

The concept of neutrosophic sets can be utilized as a Mathematical tool to deal with imprecise and unspecified information. The neutrosophic set is a generalization of fuzzy sets and intutionistic fuzzy sets which is applied in Graph theory. The neutrosophic fuzzy graph is used in the problems, where the relation between vertices and hence edges are indeterminate.