Sunil Mathew - Böcker

Fuzzy Mathematics, Graphs, and Similarity Measures provides a solid foundation in core analytical tracks of mathematics of uncertainty, from fuzzy mathematics to graphs and similarity measures with applications in a range of timely cases studies and world challenges. Following a full grounding in fuzzy graph indices, connectivity in fuzzy graph structures, lattice isomorphisms, and similarity measures, the book applies these models in analyzing world challenges, from human trafficking to modern slavery, global poverty, global hunger, homelessness, biodiversity, extinction, terrorism and bioterrorism, pandemics, and climate change.Connections and constructive steps forward are tied throughout to UN Sustainable Development Goals (SDGs). The authors demonstrate and instruct readers in applying techniques from mathematics of uncertainty in examining issues where accurate data is impossible to obtain. In addition to a diverse range of cases studies, exercises reinforce key concepts in each chapter, and an online instructor’s manual supports teaching across a range of course contexts.Instructs on core analytical techniques of mathematics of uncertainty, from fuzzy graphs to similarity measures, with applicationsIntroduces lattice isomorphisms, fuzzy graph indices, and fuzzy graph structures as basis for analysisCovers analysis and application across a range of world challenges and SDG aligned topics, from human trafficking to modern slavery, global poverty, global hunger, homelessness, biodiversity, extinction, terrorism and bioterrorism, pandemics, and climate changeIncludes cases studies and student exercises across each chapter, as well as an online instructor’s manual

Delve into the intricate landscape of fuzzy mathematics, where the boundaries of traditional mathematical disciplines- analysis, abstract algebra, geometry, topology, and graph theory-are blurred to address pressing global issues. Through a rigorous examination of fuzzy sets and similarity measures, An Introduction to Fuzzy Mathematics: With Applications to Global Problems lays the groundwork for innovative solutions to complex problems, from medical diagnostics to sustainability, refugee crises, and the fight against human trafficking. Meanwhile, research projects and exercises integrated across chapters reinforce learning and apply fuzzy mathematics to real-world scenarios. Chapters are meticulously organized to guide readers through foundational concepts, including fuzzy sets, evidence theory, and implication operators, before advancing to applications in sustainability and climate change. Further, the book examines refugee dynamics and public health models, culminating in a thorough exploration of fuzzy algebraic structures, geometry, topology, and graph theory. This comprehensive resource not only enhances understanding of fuzzy mathematics but also equips readers-researchers, practitioners, and policymakers alike-with the tools to tackle critical global issues. By integrating mathematical rigor with real-life applications, the book serves as a vital reference for anyone seeking to navigate the complexities of our world through the lens of fuzzy mathematics.Explores the innovative realm of fuzzy mathematics, addressing its foundations and application across analysis, algebra, geometry, topology, and graph theory in real-world contextsIntroduces foundational concepts in fuzzy sets, evidence theory, fuzzy similarity measures, and their implications in sustainability, climate change, and human traffickingEquips mathematics students with essential tools to understand and apply fuzzy logic in diverse fields, enhancing their analytical and problem-solving skillsIncludes engaging research projects and exercises across chapters that reinforce learning and apply fuzzy mathematics to real-world scenarios and global challenges

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.

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.

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.

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.

This book ranks countries with respect to their achievement of the Sustainable Development Goals and their vulnerability to climate change. The book also considers the interconnection between climate change, world hunger, human trafficking, modern slavery, and the coronavirus.

This book ranks countries with respect to their achievement of the Sustainable Development Goals and their vulnerability to climate change. The book also considers the interconnection between climate change, world hunger, human trafficking, modern slavery, and the coronavirus.

This book provides an examination of major problems facing the world using mathematics of uncertainty. Since accurate data is impossible to obtain concerning human tracking and other global problems, mathematics of uncertainty is an ideal discipline to study these problems.

This book provides an examination of major problems facing the world using mathematics of uncertainty. Since accurate data is impossible to obtain concerning human tracking and other global problems, mathematics of uncertainty is an ideal discipline to study these problems.

This book examines some issues involving climate change, human trafficking, and other serious world challenges made worse by climate change.

This book examines some issues involving climate change, human trafficking, and other serious world challenges made worse by climate change.

One of the most preeminent ways of applying mathematics in real-world scenario modeling involves graph theory. 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.

One of the most preeminent ways of applying mathematics in real-world scenario modeling involves graph theory. 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 book focuses on the relationship between Artificial Intelligence (AI) and the Sustainable Development Goals (SDGs). Some topics examined in the book include country achievement of the SDGs, the relationship between human trafficking and the SDGs, climate change, and global problems mentioned above.

This book focuses on the relationship between Artificial Intelligence (AI) and the Sustainable Development Goals (SDGs). One of the most important issues the world is facing is sustainability. All members of the United Nations adopted Agenda 2030 and the Sustainable Development Goals. Associated with the SDGs are many serious global problems. These problems include climate change, global poverty, global hunger, human trafficking, homelessness, biodiversity, extinction, and terrorism. The author’s purpose is to develop a textbook concerning the SDGs and how they relate to these problems. A recent issue has emerged. That is Artificial Intelligence. AI has tremendous potential to do both good and harm. The book is designed in such a way that it can be used as an undergraduate textbook on sustainability. Consequently, the mathematics involved is kept at a reasonable level. One of the author’s goals is to prepare the reader to further their study of global issues. In particular, to provide them the background needed to examine the three books in the Springer Series Studies in Systems, Decision and Control, volumes 299, 353, and 391. Exercises are provided in the text as well as an instructor's manual. Some topics examined in the book include country achievement of the SDGs, the relationship between human trafficking and the SDGs, climate change, and global problems mentioned above.

Mathematics of Uncertainty Applied to Global Issues explores how mathematical tools can illuminate some of the most pressing challenges facing our world today. Authored by John N. Mordeson, Sunil Mathew, and Davender S. Malik, this book bridges the gap between abstract mathematical theory and real-world global concerns.Addressing critical issues such as sustainability, the mistreatment of women, nuclear power, smart cities, and digitalization, the book demonstrates how fuzzy set theory and fuzzy similarity measures can be used to analyse complex, uncertain, and interconnected systems. By examining rankings of countries, states, and cities across diverse indicators—including environmental performance, social justice, human development, and technological advancement—the authors reveal hidden relationships and patterns among global challenges.The text develops foundational concepts in fuzzy mathematics and extends them to innovative methodologies for comparing multiple rankings. Through applications ranging from refugee crises and biodiversity targets to urban sustainability and artificial intelligence, the book provides a unique quantitative perspective on global development issues.Combining rigorous theory with meaningful applications, this volume serves as a valuable resource for advanced undergraduate and graduate students, researchers, and educators in mathematics, data science, and the social sciences. It offers not only analytical tools but also insights into how mathematics can contribute to understanding and addressing the complexities of an uncertain world.

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.

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.

This book provides a timely overview of fuzzy graph theory, laying the foundation for future applications in a broad range of areas.