Ebook: Fuzzy Equational Logic

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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"Fuzzy Equational Logic" deals with similarity relations defined on a set with functions and develops a universal algebra from the point of view of fuzzy logic. 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.