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Item Details
| Title:
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FUZZY LOGIC OF QUASI-TRUTH: AN ALGEBRAIC TREATMENT
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| Volume: |
2016 |
| By: |
Antonio Di Nola, Revaz Grigolia, Esko Turunen |
| Format: |
Hardback |
| List price:
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£109.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3319304046 |
| ISBN 13: |
9783319304045 |
| Publisher: |
SPRINGER INTERNATIONAL PUBLISHING AG |
| Pub. date: |
19 March, 2016 |
| Series: |
Studies in Fuzziness and Soft Computing 338 |
| Pages: |
116 |
| Synopsis: |
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 Lukasiewicz 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. |
| Illustrations: |
3 black & white illustrations, biography |
| Publication: |
Switzerland |
| Imprint: |
Springer International Publishing AG |
| Returns: |
Non-returnable |
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