This book provides an examination of major problems facing the world using mathematics of uncertainty. These problems include climate change, coronavirus pandemic, human tracking, biodiversity, and other grand challenges. Mathematics of uncertainty is used in a modern more general sense than traditional mathematics. 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. The authors place several scientific studies into different mathematical settings such as nonstandard analysis and soft logic. Fuzzy differentiation is used to model the spread of diseases such as the coronavirus. The book uses fuzzy graph theory to examine the problems of human tracking and illegal immigration. The book is an excellent reference source for advanced under-graduate and graduate students in mathematics and the social sciences as well as for researchers and teachers.
Зміст
Preliminaries.- Nonstandard Fuzzy Sets.- Grand Challenges.- Bribery and Corruption.- Know Your Country.- Index.
Про автора
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. He has published 20 books and over 200 journal articles. He is on the editorial board of numerous journals. He has served as an external examiner of Ph. D. candidates from India, South Africa, Bulgaria, and Pakistan. He has refereed for numerous journals and granting agencies. He is particularly interested in applying mathematics of uncertainty to combat the problems of climate change, human trafficking, and biodiversity.
Dr. Sunil Mathew is a Faculty Member in the Department of Mathematics, NIT Calicut, India. He has acquired his masters from St. Josephs College Devagiri, Calicut, and Ph. D. from National Institute of Technology Calicut in the area of Fuzzy Graph Theory. He has published more than 100 research papers and written five books. He is a member of several academic bodies and associations. He is editor and reviewer of several international journals. He has an experience of 20 years in teaching and research. His current research topics include fuzzy graph theory, bio-computational modeling, graph theory, fractal geometry, and chaos.
Dr. Binu M received her Ph. D in 2019 from the Department of Mathematics, National Institute of Technology Calicut, India, in the area of Connectivity in Fuzzy Graph Theory. She is a faculty member at Cooperative Academy of Professional Education (CAPE) Kerala, India. Her present research includes fuzzy logic, graph theory and network science. Dr. Binu has published several research papers and co-authored a book.
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