Fuzzy Graph Theory

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Fuzzy Graph Theory

Sunil Mathew,John N. Mordeson,Davender S. Malik
Fuzzy Graph Theory Book PDF

Author : Sunil Mathew,John N. Mordeson,Davender S. Malik
Publisher : Springer
Page : 320 pages
File Size : 43,7 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.

Modern Trends in Fuzzy Graph Theory

Madhumangal Pal,Sovan Samanta,Ganesh Ghorai
Modern Trends in Fuzzy Graph Theory Book PDF

Author : Madhumangal Pal,Sovan Samanta,Ganesh Ghorai
Publisher : Springer Nature
Page : 323 pages
File Size : 43,9 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.

Advanced Topics in Fuzzy Graph Theory

John N. Mordeson,Sunil Mathew
Advanced Topics in Fuzzy Graph Theory Book PDF

Author : John N. Mordeson,Sunil Mathew
Publisher : Springer
Page : 209 pages
File Size : 48,5 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.

Fuzzy Graphs and Fuzzy Hypergraphs

John N. Mordeson,Premchand S. Nair
Fuzzy Graphs and Fuzzy Hypergraphs Book PDF

Author : John N. Mordeson,Premchand S. Nair
Publisher : Physica
Page : 256 pages
File Size : 54,8 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.

m−Polar Fuzzy Graphs

Muhammad Akram
m Polar Fuzzy Graphs Book PDF

Author : Muhammad Akram
Publisher : Springer
Page : 296 pages
File Size : 48,5 Mb
Release : 2018-11-13
Category : Technology & Engineering
ISBN : 9783030037512

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m−Polar Fuzzy Graphs by Muhammad Akram Pdf

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.

Handbook of Research on Advanced Applications of Graph Theory in Modern Society

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

Author : Pal, Madhumangal,Samanta, Sovan,Pal, Anita
Publisher : IGI Global
Page : 591 pages
File Size : 53,6 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.

Fuzzy Graph Theory with Applications to Human Trafficking

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

Author : John N. Mordeson,Sunil Mathew,Davender S. Malik
Publisher : Springer
Page : 250 pages
File Size : 49,8 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.

SOME OPERATIONS ON NEUTROSOPHIC FUZZY GRAPHS

G. DIVYA, J. MALARVIZHI
SOME OPERATIONS ON NEUTROSOPHIC FUZZY GRAPHS Book PDF

Author : G. DIVYA, J. MALARVIZHI
Publisher : Infinite Study
Page : 6 pages
File Size : 44,5 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.

Advanced Topics in Fuzzy Graph Theory

John N. Mordeson,Sunil Mathew
Advanced Topics in Fuzzy Graph Theory Book PDF

Author : John N. Mordeson,Sunil Mathew
Publisher : Unknown
Page : 128 pages
File Size : 49,9 Mb
Release : 2019
Category : Fuzzy graphs
ISBN : 3030042162

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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.

Weighted and Fuzzy Graph Theory

Sunil Mathew,John N. Mordeson,M. Binu
Weighted and Fuzzy Graph Theory Book PDF

Author : Sunil Mathew,John N. Mordeson,M. Binu
Publisher : Springer Nature
Page : 226 pages
File Size : 40,8 Mb
Release : 2023-08-20
Category : Technology & Engineering
ISBN : 9783031397561

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Weighted and Fuzzy Graph Theory by Sunil Mathew,John N. Mordeson,M. Binu Pdf

One of the most preeminent ways of applying mathematics in real-world scenario modeling involves graph theory. A graph can be undirected or directed depending on whether the pairwise relationships among objects are symmetric or not. Nevertheless, in many real-world situations, representing a set of complex relational objects as directed or undirected is not su¢ cient. Weighted graphs o§er a framework that helps to over come certain conceptual limitations. We show using the concept of an isomorphism that weighted graphs have a natural connection to fuzzy graphs. As we show in the book, this allows results to be carried back and forth between weighted graphs and fuzzy graphs. This idea is in keeping with the important paper by Klement and Mesiar that shows that many families of fuzzy sets are lattice isomorphic to each other. We also outline the important work of Head and Weinberger that show how results from ordinary mathematics can be carried over to fuzzy mathematics. We focus on the concepts connectivity, degree sequences and saturation, and intervals and gates in weighted graphs.

Decision Making in Manufacturing Environment Using Graph Theory and Fuzzy Multiple Attribute Decision Making Methods

R. Venkata Rao
Decision Making in Manufacturing Environment Using Graph Theory and Fuzzy Multiple Attribute Decision Making Methods Book PDF

Author : R. Venkata Rao
Publisher : Springer Science & Business Media
Page : 297 pages
File Size : 53,7 Mb
Release : 2012-08-27
Category : Technology & Engineering
ISBN : 9781447143758

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Decision Making in Manufacturing Environment Using Graph Theory and Fuzzy Multiple Attribute Decision Making Methods by R. Venkata Rao Pdf

Decision Making in Manufacturing Environment Using Graph Theory and Fuzzy Multiple Attribute Decision Making Methods presents the concepts and details of applications of MADM methods. A range of methods are covered including Analytic Hierarchy Process (AHP), Technique for Order Preference by Similarity to Ideal Solution (TOPSIS), VIšekriterijumsko KOmpromisno Rangiranje (VIKOR), Data Envelopment Analysis (DEA), Preference Ranking METHod for Enrichment Evaluations (PROMETHEE), ELimination Et Choix Traduisant la Realité (ELECTRE), COmplex PRoportional ASsessment (COPRAS), Grey Relational Analysis (GRA), UTility Additive (UTA), and Ordered Weighted Averaging (OWA). The existing MADM methods are improved upon and three novel multiple attribute decision making methods for solving the decision making problems of the manufacturing environment are proposed. The concept of integrated weights is introduced in the proposed subjective and objective integrated weights (SOIW) method and the weighted Euclidean distance based approach (WEDBA) to consider both the decision maker’s subjective preferences as well as the distribution of the attributes data of the decision matrix. These methods, which use fuzzy logic to convert the qualitative attributes into the quantitative attributes, are supported by various real-world application examples. Also, computer codes for AHP, TOPSIS, DEA, PROMETHEE, ELECTRE, COPRAS, and SOIW methods are included. This comprehensive coverage makes Decision Making in Manufacturing Environment Using Graph Theory and Fuzzy Multiple Attribute Decision Making Methods a key reference for the designers, manufacturing engineers, practitioners, managers, institutes involved in both design and manufacturing related projects. It is also an ideal study resource for applied research workers, academicians, and students in mechanical and industrial engineering.

Fuzzy Graph Theory

John N. Mordeson,Sunil Mathew,G. Gayathri
Fuzzy Graph Theory Book PDF

Author : John N. Mordeson,Sunil Mathew,G. Gayathri
Publisher : Springer Nature
Page : 265 pages
File Size : 46,7 Mb
Release : 2023-03-02
Category : Technology & Engineering
ISBN : 9783031231087

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Fuzzy Graph Theory by John N. Mordeson,Sunil Mathew,G. Gayathri Pdf

This book examines some issues involving climate change, human trafficking, and other serious world challenges made worse by climate change. Climate change increases the risk of natural disasters and thus creates poverty and can cause situations of conflict and instability. Displacement can occur giving traffickers an opportunity to exploit affected people. In the fuzzy graph theory part of the book, the relatively new concepts of fuzzy soft semigraphs and graph structures are used to study human trafficking, as well as its time intuitionistic fuzzy sets that have been introduced to model forest fires. The notion of legal and illegal incidence strength is used to analyze immigration to the USA. The examination of return refugees to their origin countries is undertaken. The neighborhood connectivity index is determined for trafficking in various regions in the world. The cycle connectivity measure for the directed graph of the flow from South America to the USA is calculated. It is determined that there is a need for improvement in government response by countries. Outside the area of fuzzy graph theory, a new approach to examine climate change is introduced. Social network theory is used to study feedback processes that effect climate forcing. Tipping points in climate change are considered. The relationship between terrorism and climate change is examined. Ethical issues concerning the obligation of business organizations to reduce carbon emissions are also considered. Nonstandard analysis is a possible new area that could be used by scholars of mathematics of uncertainty. A foundation is laid to aid the researcher in the understanding of nonstandard analysis. In order to accomplish this, a discussion of some basic concepts from first-order logic is presented as some concepts of mathematics of uncertainty. An application to the theory of relativity is presented.

Operations on single valued neutrosophic graphs with application

Sumera Naz ,Hossein Rashmanlou,M. Aslam Malika
Operations on single valued neutrosophic graphs with application Book PDF

Author : Sumera Naz ,Hossein Rashmanlou,M. Aslam Malika
Publisher : Infinite Study
Page : 15 pages
File Size : 52,5 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 8210379456XXX

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Operations on single valued neutrosophic graphs with application by Sumera Naz ,Hossein Rashmanlou,M. Aslam Malika Pdf

The concepts of graph theory are applied in many areas of computer science including image segmentation, data mining, clustering, image capturing and networking. Fuzzy graph theory is successfully used in many problems, to handle the uncertainty that occurs in graph theory. A single valued neutrosophic graph (SVNG) is an instance of a neutrosophic graph and a generalization of the fuzzy graph, intuitionistic fuzzy graph, and interval-valued intuitionistic fuzzy graph. In this paper, the basic operations on SVNGs such as direct product, Cartesian product, semi-strong product, strong product, lexicographic product, union, ring sum and join are defined. Moreover, the degree of a vertex in SVNGs formed by these operations in terms of the degree of vertices in the given SVNGs in some particular cases are determined. Finally, an application of single valued neutrosophic digraph (SVNDG) in traval time is provided.

Some Results on the Graph Theory for Complex Neutrosophic Sets

Shio Gai Quek,Said Broumi,Ganeshsree Selvachandran,Assia Bakali,Mohamed Talea,Florentin Smarandache
Some Results on the Graph Theory for Complex Neutrosophic Sets Book PDF

Author : Shio Gai Quek,Said Broumi,Ganeshsree Selvachandran,Assia Bakali,Mohamed Talea,Florentin Smarandache
Publisher : Infinite Study
Page : 32 pages
File Size : 43,9 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 8210379456XXX

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Some Results on the Graph Theory for Complex Neutrosophic Sets by Shio Gai Quek,Said Broumi,Ganeshsree Selvachandran,Assia Bakali,Mohamed Talea,Florentin Smarandache Pdf

Fuzzy graph theory plays an important role in the study of the symmetry and asymmetry properties of fuzzy graphs.

A Modern Introduction to Fuzzy Mathematics

Apostolos Syropoulos,Theophanes Grammenos
A Modern Introduction to Fuzzy Mathematics Book PDF

Author : Apostolos Syropoulos,Theophanes Grammenos
Publisher : John Wiley & Sons
Page : 382 pages
File Size : 44,7 Mb
Release : 2020-07-28
Category : Technology & Engineering
ISBN : 9781119445289

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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.