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Professor Merrie Bergmann presents an accessible introduction to the subject of many-valued and fuzzy logic designed for use on undergraduate and graduate courses in non-classical logic. Bergmann discusses the philosophical issues that give rise to fuzzy logic - problems arising from vague language - and returns to those issues as logical systems are presented. For historical and pedagogical reasons, three-valued logical systems are presented as useful intermediate systems for studying the principles and theory behind fuzzy logic. The major fuzzy logical systems - Lukasiewicz, Gödel, and product logics - are then presented as generalisations of three-valued systems that successfully address the problems of vagueness. A clear presentation of technical concepts, this book includes exercises throughout the text that pose straightforward problems, that ask students to continue proofs begun in the text, and that engage students in the comparison of logical systems.

Fuzzy logic. --- Many-valued logic. --- Logic, Many-valued --- Logic, Multivalued --- Logic, Variable-valued --- Multivalued logic --- Variable-valued logic --- Nonclassical mathematical logic --- Values --- Nonlinear logic --- Fuzzy mathematics --- Logic, Symbolic and mathematical --- Fuzzy systems --- Lògica borrosa --- Lògica multivalent --- Lògica de diversos valors --- Lògica plurivalent --- Lògica polivalent --- Lògica difusa --- Lògica no lineal --- Lògica matemàtica --- Conjunts borrosos --- Sistemes borrosos --- Arts and Humanities --- Philosophy --- Logique --- Logique floue --- Logique multivalente --- 20e siècle

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