An Introduction to Many-Valued and Fuzzy Logic: Semantics, Algebras, and Derivation Systems [Hardcover]

An accessible introduction to many-valued and fuzzy logic designed for undergraduate and graduate students.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.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.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.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-orlC)