Authors:
- Presents the first algebraic treatment of quasi-truth fuzzy logic
- Covers the algebraic foundations of many-valued logic
- Written by experts in the field
Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 338)
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Table of contents (11 chapters)
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Front Matter
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Back Matter
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.
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Authors and Affiliations
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University of Salerno, Fisciano, Italy
Antonio Di Nola
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University, Ivane Javakhishvili Tbilisi State, Tbilisi, Georgia
Revaz Grigolia
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Tampere University of Technology, Tampere, Finland
Esko Turunen
Bibliographic Information
Book Title: Fuzzy Logic of Quasi-Truth: An Algebraic Treatment
Authors: Antonio Di Nola, Revaz Grigolia, Esko Turunen
Series Title: Studies in Fuzziness and Soft Computing
DOI: https://doi.org/10.1007/978-3-319-30406-9
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-30404-5Published: 30 March 2016
Softcover ISBN: 978-3-319-80801-7Published: 25 April 2018
eBook ISBN: 978-3-319-30406-9Published: 18 March 2016
Series ISSN: 1434-9922
Series E-ISSN: 1860-0808
Edition Number: 1
Number of Pages: VI, 116
Number of Illustrations: 3 b/w illustrations
Topics: Computational Intelligence, General Algebraic Systems, Symbolic and Algebraic Manipulation