Concepts of Fuzzy Mathematics [electronic resource] /
by Manoranjan Kumar Singh.
- 1st ed. 2024.
- XXVII, 656 p. 128 illus., 29 illus. in color. online resource.
- Forum for Interdisciplinary Mathematics, 2364-6756 .
- Forum for Interdisciplinary Mathematics, .
1 Fundamental of Crisp Set Theory -- 2 Fundamental Concepts of Fuzzy Sets -- 3 Generalization of Fuzzy Sets -- 4 Decomposition of a Fuzzy Set and Extension Principle -- 5 Fuzzy Set-Theoretic Operators -- 6 Arithmetic Operations and Fuzzy Mathematics -- 7 Fuzzy Relations.
This comprehensive introductory textbook is designed for undergraduate mathematics students seeking to gain a strong understanding of fuzzy sets and relations. Covering all major topics in the field, this course provides a solid foundation in fuzzy mathematics, similar to a pre-calculus course covering algebra, functions and trigonometry. The book is enriched with more than 225 solved examples, 194 challenging problems, 276 multiple-choice questions and 240 true/false statements, making it an ideal companion for students looking to master the basics of fuzzy mathematics. Whether readers are studying on their own or as part of a classroom setting, this book provides a unified and comprehensive treatment of the subject, ensuring that readers have the knowledge and skills they need to succeed.