An Introduction to Many-Valued and Fuzzy Logic
Semantics, Algebras, and Derivation Systems
1st Edition
Published on 28. March 2008
978-0-511-37310-7 (ISBN)
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, 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.
Reviews / Votes
"Bergmann has done an excellent job...Highly recommended."R. Bharath, Northern Michigan University, Choice
More details
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
College/higher education
Professional and scholarly
Illustrations
Worked examples or Exercises
File size
2,00 MB
ISBN-13
978-0-511-37310-7 (9780511373107)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Merrie Bergmann
An Introduction to Many-Valued and Fuzzy Logic
Semantics, Algebras, and Derivation Systems
Book
01/2008
Cambridge University Press
€78.20
Shipment within 15-20 days
Merrie Bergmann
An Introduction to Many-Valued and Fuzzy Logic
Semantics, Algebras, and Derivation Systems
Book
01/2008
Cambridge University Press
€136.30
Shipment within 15-20 days
Person
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.
Content
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.
