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An Introduction to Many-Valued and Fuzzy Logic
Semantics, Algebras, and Derivation Systems
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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.
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Cambridge University Press; January 2008
344 pages; ISBN 9780511373107
Read online, or download in secure PDF format
344 pages; ISBN 9780511373107
Read online, or download in secure PDF format
Subject categories
- Academic > Mathematics > General > Logic, Symbolic and mathematical
- Academic > Mathematics > General > Recursion theory
- Academic > Mathematics > General > Fuzzy logic
- Academic > Mathematics > Instruments and machines
- Academic > Mathematics > Analytic mechanics
- Academic > Logic > Recursion theory
- Academic > Logic > Fuzzy logic
- Academic > Computer Science
- Mathematics > Logic
- Philosophy
ISBNs
0511373104
9780511373107
9780511375569
9780521881289