Introduction to Fuzzy Mathematics: With Applications to Global Problems
mar 2026 · Academic Press
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Introduction to Fuzzy Mathematics: With Applications to Global Problems offers a modern approach to solving complex challenges by applying fuzzy mathematics to real-world situations. This book provides readers with the foundational tools necessary to address pressing issues, such as medical diagnostics, sustainability, refugee crises, and combating human trafficking. With a focus on practical application, each chapter features research projects and exercises that encourage hands-on learning. By integrating theoretical concepts with actionable techniques, the book empowers readers to use fuzzy mathematics as a means of understanding and addressing global problems in a nuanced and innovative way.The text is organized to move from fundamental topics, including fuzzy sets, evidence theory, and implication operators, to advanced applications in areas like sustainability, climate change, and public health models. It further explores the mathematics behind refugee dynamics and delves into fuzzy algebraic structures, geometry, topology, and graph theory. This comprehensive resource is suitable for researchers, practitioners, and policymakers, enhancing their ability to apply mathematical rigor to complex issues. - Explores the innovative realm of fuzzy mathematics, addressing its foundations and application across analysis, algebra, geometry, topology, and graph theory in real-world contexts - Introduces foundational concepts in fuzzy sets, evidence theory, fuzzy similarity measures, and their implications in sustainability, climate change, and human trafficking - Equips mathematics students with essential tools to understand and apply fuzzy logic in diverse fields, enhancing their analytical and problem-solving skills - Includes engaging research projects and exercises across chapters that reinforce learning and apply fuzzy mathematics to real-world scenarios and global challenges
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Dr. John N. Mordeson is Professor Emeritus of Mathematics at Creighton University. He received his B.S., M.S., and Ph. D from Iowa State University. He is a member of Phi Kappa Phi, and has published over 20 books and 250 journal articles. He is on the editorial board of numerous journals, and has served as an external examiner of PhD candidates from various countries. He has refereed for numerous journals and ranting agencies, and is particularly interested in applying mathematics of uncertainty to combat global problems.Dr. Davender S. Malik is a Professor of Mathematics at Creighton University, Omaha, Nebraska. He received his Ph.D. from Ohio University and has published more than 65 papers and 20 books on abstract algebra, applied mathematics, graph theory and automata theory and languages, fuzzy logic and its applications, programming, data structures and discrete mathematics.Dr. Sunil Mathew is Associate Professor in the Department of Mathematics at NIT, Calicut, India. He received his Masters from St. Joseph's College, Devagiri, in Calicut, and PhD from the National Institute of Technology, Calicut in the area of Fuzzy Graph Theory. He has published over 125 research papers and written 10 books. He is a member of several academic bodies and associations. He is an editor and reviewer of several international journals. He has experience of more than 20 years in teaching and research, and his current research topics include fuzzy graph theory, bio-computational modeling, graph theory, fractal geometry, and chaos. Edit
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