Studies in Fuzziness and Soft Computing

Fuzzy Logic of Quasi-Truth: An Algebraic Treatment

Authors: Di Nola, Antonio, Grigolia, Revaz, Turunen, Esko

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  • Presents the first algebraic treatment of quasi-truth fuzzy logic
  • Covers the algebraic foundations of many-valued logic
  • Written by experts in the field
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eBook 107,09 €
price for Spain (gross)
  • ISBN 978-3-319-30406-9
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Hardcover 135,19 €
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  • ISBN 978-3-319-30404-5
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  • Usually dispatched within 3 to 5 business days.
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Softcover 135,19 €
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  • ISBN 978-3-319-80801-7
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  • Usually dispatched within 3 to 5 business days.
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About this book

This book presents the first algebraic treatment of quasi-truth fuzzy logic and covers the algebraic foundations of many-valued logic.  It offers a comprehensive account of basic techniques and reports on important results showing the pivotal role played by perfect many-valued algebras (MV-algebras). It is well known that the first-order predicate Łukasiewicz logic is not complete with respect to the canonical set of truth values.  However, it is complete with respect to all linearly ordered MV –algebras.  As there are no simple linearly ordered MV-algebras in this case, infinitesimal elements of an MV-algebra are allowed to be truth values. The book presents perfect algebras as an interesting subclass of local MV-algebras and provides readers with the necessary knowledge and tools for formalizing the fuzzy concept of quasi true and quasi false. All basic concepts are introduced in detail to promote a better understanding of the more complex ones. It is an advanced and inspiring reference-guide for graduate students and researchers in the field of non-classical many-valued logics.

Reviews

“This book studies many-valued logics and their algebraic counterparts which are suitable for formalizing and modelling the concept of quasi-true. … This work is a valuable source of information for all logicians and philosophers interested in mathematical models of vagueness, and their application to modelling many-valued truth-degrees in an algebraically coherent manner.” (Tomáš Kroupa, Mathematical Reviews, March, 2017)


Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook 107,09 €
price for Spain (gross)
  • ISBN 978-3-319-30406-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 135,19 €
price for Spain (gross)
  • ISBN 978-3-319-30404-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 135,19 €
price for Spain (gross)
  • ISBN 978-3-319-80801-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Fuzzy Logic of Quasi-Truth: An Algebraic Treatment
Authors
Series Title
Studies in Fuzziness and Soft Computing
Series Volume
338
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-30406-9
DOI
10.1007/978-3-319-30406-9
Hardcover ISBN
978-3-319-30404-5
Softcover ISBN
978-3-319-80801-7
Series ISSN
1434-9922
Edition Number
1
Number of Pages
VI, 116
Number of Illustrations
3 b/w illustrations
Topics