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The strength of this book lies in its clear and precise examination of the theory of fuzzy systems. A rigorous study of the principles of fuzzy set theory supports the book's fundamental aim, which is to promote the development of fuzzy systems for successful real-world applications. The authors highlight two important application areas: approximate reasoning in knowledge-based systems, and fuzzy control. Reflecting the state of the art in fuzzy systems research, the book is both comprehensive and practical in its approach. Its illustration of key concepts is based on a detailed analysis of the underlying semantics. Each chapter is enhanced by useful historical notes and extensive references. The book presents several industrial case studies and exercises designed to increase its appeal to advanced students and researchers in computer science, applied mathematics and engineering.
The book is intended as an invitation to the topic of relations on a rather general basis. It fills the gap between the basic knowledge offered in countless introductory papers and books (usually comprising orders and equivalences) and the highly specialized monographs on mainly relation algebras, many-valued (fuzzy) relations, or graphs. This is done not only by presenting theoretical results but also by giving hints to some of the many interesting application areas (also including their respective theoretical basics).This book is a new — and the first of its kind — compilation of known results on binary relations. It offers relational concepts in both reasonable depth and broadness, and also provides insight into the vast diversity of theoretical results as well as application possibilities beyond the commonly known examples.This book is unique by the spectrum of the topics it handles. As indicated in its title these are: