An Introduction to Many-Valued and Fuzzy Logic: Semantics, Algebras, and Derivat

Description: An Introduction to Many-Valued and Fuzzy Logic by Merrie Bergmann 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. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description 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. Notes This volume is an accessible introduction to the subject of many-valued and fuzzy logic suitable for use in relevant advanced undergraduate and graduate courses. The text opens with a discussion of 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. Author Biography Merrie Bergmann is associate professor in the department of computer science at Smith College. She is the co-author, with James Moor and Jack Nelson, of The Logic Book. Table of Contents Preface; 1. Introduction; 2. Review of classical propositional logic; 3. Review of classical first-order logic; 4. Alternative semantics for truth-values and truth-functions; 5. Three-valued propositional logics: semantics; 6. Derivation systems for three-valued propositional logic; 7. Three-valued first-order logics: semantics; 8. Derivation systems for three-valued first-order logics; 9. Alternative semantics for three-valued systems; 10. The principle of charity reconsidered and a new problem of the fringe; 11. Fuzzy propositional logics: semantics; 12. Fuzzy algebras; 13. Derivational systems for fuzzy propositional logics; 14. Fuzzy first-order logics: semantics; 15. Derivation systems for fuzzy first-order logics; 16. Extensions of fuzziness; 17. Fuzzy membership functions. Review "Bergmann has done an excellent job...Highly recommended."R. Bharath, Northern Michigan University, Choice Promotional An accessible introduction to many-valued and fuzzy logic designed for undergraduate and graduate students. Review Quote "Bergmann has done an excellent job...Highly recommended." R. Bharath, Northern Michigan University, Choice Promotional "Headline" An accessible introduction to many-valued and fuzzy logic designed for undergraduate and graduate students. Description for Bookstore 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. Description for Library 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. Details ISBN0521881285 Author Merrie Bergmann Publisher Cambridge University Press Language English ISBN-10 0521881285 ISBN-13 9780521881289 Media Book Format Hardcover DEWEY 511.313 Illustrations Yes Imprint Cambridge University Press Subtitle Semantics, Algebras, and Derivation Systems Place of Publication Cambridge Country of Publication United Kingdom Edition 1st Short Title INTRO TO MANY-VALUED & FUZZY L Affiliation Smith College, Massachusetts DOI 10.1604/9780521881289 UK Release Date 2008-01-14 AU Release Date 2008-01-14 NZ Release Date 2008-01-14 Pages 342 Year 2008 Publication Date 2008-01-14 Alternative 9780511801129 Audience Tertiary & Higher Education We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:17218086;

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