John Mordeson - 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

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.