This comprehensive introductory textbook is designed for undergraduate mathematics students who are interested in gaining an in-depth understanding of fuzzy mathematics and its applications. The book covers a wide range of topics, including fuzzy linear equations, fuzzy graphs, fuzzy measures, fuzzy logic, fuzzy topological spaces, fuzzy subgroups, as well as applications of fuzzy mathematics in various other fields. While readers are assumed to be familiar with the concept of fuzzy sets, the book maintains a clear and straightforward approach that makes it easy to follow for students at any level of proficiency. The advanced content is presented in an insightful and accessible manner, empowering students to apply the concepts they learn to real-world problems and applications.

Enriched with over 105 solved examples, 133 challenging problems, 185 multiple-choice questions, and 150 true/false statements, this book is an ideal tool for beginners seeking to gain a solid foundation in fuzzy mathematics and its applications. Whether you are studying independently or as part of a classroom setting, this book provides a valuable resource that will help you achieve your goals.

Discusses all major topics in fuzzy mathematics with explanations, proper examples, and historical background Introduces fuzzy linear equations, graphs, measures, topological spaces, subgroups, and applications Includes 105 solved examples, 133 problems, 185 MCQs, and 150 true/false statements

Autorentext

Manoranjan Kumar Singh is formerly Head and Professor at the Department of Mathematics, Magadh University, Bodh Gaya, Bihar, India. He received his D.Sc. degree in 2009, Ph.D. degree in 1986, M.Sc. degree with a gold medal (first position in first class) in 1981, and B.Sc. (Hons) degree in 1979, from Magadh University, Bodh Gaya. He received the ISCA Young Scientist Award in 1989; the Best Teacher Award by the Lions Club of Gaya in 2005; the Best Research Paper Award in 2008 by the Purvanchal Academy of Sciences, Jaunpur, Uttar Pradesh; the UGC.BSR Faculty Fellowship in 2012; Bharat Gaurav Award from India International Friendship Society, New Delhi, in 2016; the Patron Award 2016-17 from the Computer Society of India, Bombay, in 2018; the Distinguished Professor Award from Arunai International Research Foundation, Madras, in 2017; the Outstanding Faculty Award at Pattaya, Thailand, in 2018; and the Life Time Achiever Award 2020 from Infinity Education Solution, Coimbatore. His areas of interest are fuzzy abstract algebra and fuzzy mathematics. With more than 38 years of teaching experience, he has published 17 books and 140 papers. He has supervised 18 Ph.D. students. He has presented research papers at more than 94 national and international conferences and chaired sessions at 6 of them. On the editorial boards of several journals, he is Reviewer for several journals.

Inhalt

Solving Fuzzy Linear Equations.- Graphs, Fuzzy Graphs and Intuitionistic Fuzzy Graphs.- Fuzzy Measures, Possibility and Necessity.- Compositional Rule of Inference.- Fuzzy Topological Spaces.- Fuzzy Subgroups and Fuzzy Normal Subgroups.- Application of Fuzzy Mathematics in Other Disciplines.