Siegfried Gottwald's book "Fuzzy Sets and Fuzzy Logic: Foundations of Application - from a Mathematical Point of View" provides a comprehensive overview of fuzzy sets and fuzzy logic. The book is part of a series on Artificial Intelligence, covering topics such as knowledge processing, knowledge representation, expert systems, and AI machinery. It also includes discussions on biological systems and cognitive modeling. The book is structured into five chapters, each focusing on different aspects of fuzzy sets and fuzzy logic. Chapter 1 covers logical preliminaries, including t-norms and Φ-operators. Chapter 2 discusses basic fuzzy set theory, including set algebra, fuzzy relations, and graded properties. Chapter 3 explores set equations with fuzzy sets, including solvability of fuzzy relational and arithmetical equations. Chapter 4 focuses on fuzzy controllers, discussing their construction and interaction problems. Chapter 5 addresses methodological issues, including the comparison of fuzzy sets. The book is based on the author's research and collaborations, particularly with Polish control engineering experts, and includes both published and unpublished material. The author thanks various institutions and individuals for their support during the writing process. The book is intended for mathematicians and computer scientists, as well as engineers interested in fuzzy logic applications. It provides a mathematical foundation for fuzzy sets and fuzzy logic, emphasizing their use in modeling and control systems. The book is a valuable resource for those seeking to understand the theoretical and practical aspects of fuzzy sets and fuzzy logic.Siegfried Gottwald's book "Fuzzy Sets and Fuzzy Logic: Foundations of Application - from a Mathematical Point of View" provides a comprehensive overview of fuzzy sets and fuzzy logic. The book is part of a series on Artificial Intelligence, covering topics such as knowledge processing, knowledge representation, expert systems, and AI machinery. It also includes discussions on biological systems and cognitive modeling. The book is structured into five chapters, each focusing on different aspects of fuzzy sets and fuzzy logic. Chapter 1 covers logical preliminaries, including t-norms and Φ-operators. Chapter 2 discusses basic fuzzy set theory, including set algebra, fuzzy relations, and graded properties. Chapter 3 explores set equations with fuzzy sets, including solvability of fuzzy relational and arithmetical equations. Chapter 4 focuses on fuzzy controllers, discussing their construction and interaction problems. Chapter 5 addresses methodological issues, including the comparison of fuzzy sets. The book is based on the author's research and collaborations, particularly with Polish control engineering experts, and includes both published and unpublished material. The author thanks various institutions and individuals for their support during the writing process. The book is intended for mathematicians and computer scientists, as well as engineers interested in fuzzy logic applications. It provides a mathematical foundation for fuzzy sets and fuzzy logic, emphasizing their use in modeling and control systems. The book is a valuable resource for those seeking to understand the theoretical and practical aspects of fuzzy sets and fuzzy logic.