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An introduction to many-valued and fuzzy logic : semantics, algebras, and derivation systems / Merrie Bergmann.

By: Publication details: Cambridge ; New York : Cambridge University Press, 2008.Description: xii, 329 p. : ill. ; 26 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 0521707579 (pbk.)
  • 9780521707572 (pbk.)
Subject(s): LOC classification:
  • QA9.64 .B47 2008
Contents:
Review of classical propositional logic -- Review of classical first-order logic -- Alternative semantics for truth-values and truth-functions : numeric truth-values and abstract algebras -- Three-valued propositional logics : semantics -- Derivation systems for three-valued propositional logic -- Three-valued first-order logics : semantics -- Derivation systems for three-valued first-order logics -- Alternative semantics for three-valued logic -- The principle of charity reconsidered and a new problem of the fringe -- Fuzzy propositional logics : semantics -- Fuzzy algebras -- Derivation systems for fuzzy propositional logics -- Fuzzy first-order logics : semantics -- Derivation systems for fuzzy first-order logics -- Extensions of fuzziness -- Fuzzy membership functions.

Includes bibliographical references (p. 321-325) and index.

Review of classical propositional logic -- Review of classical first-order logic -- Alternative semantics for truth-values and truth-functions : numeric truth-values and abstract algebras -- Three-valued propositional logics : semantics -- Derivation systems for three-valued propositional logic -- Three-valued first-order logics : semantics -- Derivation systems for three-valued first-order logics -- Alternative semantics for three-valued logic -- The principle of charity reconsidered and a new problem of the fringe -- Fuzzy propositional logics : semantics -- Fuzzy algebras -- Derivation systems for fuzzy propositional logics -- Fuzzy first-order logics : semantics -- Derivation systems for fuzzy first-order logics -- Extensions of fuzziness -- Fuzzy membership functions.

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