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An Introduction to Many-Valued and Fuzzy Logic: Semantics, Algebras, and Derivation Systems 1st Edition

5 out of 5 stars 2 customer reviews
ISBN-13: 978-0521707572
ISBN-10: 0521707579
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Editorial Reviews

Review

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

Book Description

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.
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Product Details

  • Paperback: 342 pages
  • Publisher: Cambridge University Press; 1 edition (January 14, 2008)
  • Language: English
  • ISBN-10: 0521707579
  • ISBN-13: 978-0521707572
  • Product Dimensions: 6 x 0.6 x 9 inches
  • Shipping Weight: 1 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #2,193,901 in Books (See Top 100 in Books)

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Merrie Bergmann's work is extremely readable and lucid on a difficult and convoluted topic. Bergmann was responsible for the lucid semantic sections of Bergmann, Moor, and Nelson's The Logic Book. IMHO this is by far the best introductory symbolic logic text available. Bergmann has a real talent for presenting formal logical ideas of a most advanced sort in an accessible manner. Bergman's treatment is highly up to date. She is both formally proficient and philosophically astute. Despite her philosophical ability she had to move from the Philosophy Department at Dartmouth to the Computer Science department at Smith, hardly a salary demotion, but the partial loss to the phlosophy profession of a highly insightful and illuminating thinker.

Her major focus is on the use of many-valued and fuzzy logics to deal with vagueness. She understands a fuzzy logic as an infinite valued logic, rather than a probabilistic logic that assigns a probability weight to propositions. One cannot do better than this work on this topic
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Format: Paperback Verified Purchase
Bergmann gives the clearest, most understandable devleopment of fuzzy logic from crisp beginnings that I've seen to date. Step by step she shows how two-valued Boolean logics have been extended to three-valued and to fuzziness in a clear, logical progression. Along the way, she shows how different variations in axiomatic systems affect notions of tautology and contradiction, and numerous exercises invite the reader to explore the feel of different developments.

This presentation stays close to its roots in formal logic. If you're looking for engineering applications, you'll have to look elsewhere - this text never meant to be what you want. But, if want to understand the rigorous, formal roots of fuzzy inference, I can't imagine a better place to start. Although rigorous, anyone with even modest foundation in formal logic (and a willingness to work) will find great insight.

-- wiredweird
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