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An Introduction to Many-Valued and Fuzzy Logic - Semantics, Algebras, and Derivation Systems (Paperback)
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An Introduction to Many-Valued and Fuzzy Logic - Semantics, Algebras, and Derivation Systems (Paperback)
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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, Goedel,
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.
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