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An Introduction to Many-Valued and Fuzzy Logic
Semantics, Algebras, and Derivation Systems

$122.00 (X)

  • Date Published: January 2008
  • availability: In stock
  • format: Hardback
  • isbn: 9780521881289

$ 122.00 (X)

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About the Authors
  • 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.

    • Accessible introduction explains the basic theories to the reader
    • Clear presentation allows the reader to get to grips with technical concepts
    • Includes algebras and axiomatics along with semantics and philosophical issues
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    Reviews & endorsements

    "Bergmann has done an excellent job...Highly recommended."
    R. Bharath, Northern Michigan University, Choice

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    Product details

    • Date Published: January 2008
    • format: Hardback
    • isbn: 9780521881289
    • length: 342 pages
    • dimensions: 260 x 183 x 20 mm
    • weight: 0.75kg
    • availability: In stock
  • Table of Contents

    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.

  • Instructors have used or reviewed this title for the following courses

    • Intro to Logic
    • Mathematical Logic I
    • Research program
    • Rough Set Theory
    • Topics in Philosophical Logic
  • Author

    Merrie Bergmann, Smith College, Massachusetts
    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.

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