Fuzzy Set Theory and Its Applications

Exploring the foundational concepts of fuzzy sets, this book delves into fuzzy mathematics, basic definitions, and extensions. It covers fuzzy measures, the extension principle, and applications across various fields such as fuzzy relations, analysis, and decision-making. The text contrasts possibility theory with probability theory and examines fuzzy logic, expert systems, and pattern recognition. Additionally, it discusses the role of fuzzy set models in operations research and highlights empirical research, concluding with future perspectives in the field.