Metamathematics of Fuzzy Logic / Edition 1

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Overview

This book presents a systematic treatment of deductive aspects and structures of fuzzy logic understood as many valued logic sui generis. It aims to show that fuzzy logic as a logic of imprecise (vague) propositions does have well-developed formal foundations and that most things usually named ‘fuzzy inference’ can be naturally understood as logical deduction. It is for mathematicians, logicians, computer scientists, specialists in artificial intelligence and knowledge engineering, and developers of fuzzy logic.

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Editorial Reviews

Booknews
Presents a systematic treatment of deductive aspects and structures of fuzzy logic understood as many valued logic . Some important systems of real-valued propositional and predicate calculus are defined and investigated. Discussion includes Lukasiewicz propositional logic, product logic, Godel logic, complexity and undecidability, approximate inference, quantifiers and modalities. The author aims to show that fuzzy logic as a logic of imprecise propositions does have well developed formal foundations and that most things usually named fuzzy inference can be naturally understood as logical deduction. For logicians, mathematicians, and computer scientists. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

  • ISBN-13: 9781402003707
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 11/30/2001
  • Series: Trends in Logic Series , #4
  • Edition description: Softcover reprint of the original 1st ed. 1998
  • Edition number: 1
  • Pages: 312
  • Product dimensions: 0.65 (w) x 6.14 (h) x 9.21 (d)

Table of Contents

Preface. 1. Preliminaries. 2. Many-Valued Propositional Calculi. 3. Lukasiewicz Propositional Logic. 4. Product Logic, Gödel Logic. 5. Many-Valued Predicate Logics. 6. Complexity and Undecidability. 7. On Approximate Inference. 8. Generalized Quantifiers and Modalities. 9. Miscellanea. 10. Historical Remarks. References. Index.

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