Fuzzy Equational Logic

Radim Bělohlávek, Vilém Vychodil (auth.)9783540262541, 3-540-26254-7, 9783540262547

The book deals with similarity relations defined on a set with functions. The functions are required to map similar elements to similar ones. The book presents basic mathematical properties of structures consisting of similarity-preserving functions and logics for reasoning about similarities. The presented text is self-contained. The notions and results are demonstrated through examples which are graphically illustrated. The book is useful for researchers, but it can also be used as a graduate text.

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Table of contents :
Introduction to Fuzzy Sets and Fuzzy Logic….Pages 1-58
Algebras with Fuzzy Equalities….Pages 59-137
Fuzzy Equational Logic….Pages 139-170
Fuzzy Horn Logic….Pages 171-266