Full text
Bergmann, Merrie. An Introduction to Many-Valued and Fuzzy Logic: Semantics, Algebras, and Derivation Systems
2008, Cambridge University Press.
Added by: Berta Grimau

Publisher’s note: 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. The major fuzzy logical systems – Lukasiewicz, Godel, and product logics – are then presented as generalizations of three-valued systems that successfully address the problems of vagueness. Semantic and axiomatic systems for three-valued and fuzzy logics are examined along with an introduction to the algebras characteristic of those systems. A clear presentation of technical concepts, this book includes exercises throughout the text that pose straightforward problems, ask students to continue proofs begun in the text, and engage them in the comparison of logical systems.

Comment: This book is ideal for an intermediate-level course on many-valued and/or fuzzy logic. Although it includes a presentation of propositional and first-order logic, it is intended for students who are familiar with classical logic. However, no previous knowledge of many-valued or fuzzy logic is required. It can also be used as a secondary reading for a general course on non-classical logics.

Export citation in BibTeX format
Export text citation
View this text on PhilPapers
Export citation in Reference Manager format
Export citation in EndNote format
Export citation in Zotero format
Share on Twitter Share on Facebook Share on Google Plus Share on Pinterest Share by Email More options

Leave a Reply

Your email address will not be published. Required fields are marked *