| Description |
1 online resource (vi, 116 pages) : illustrations |
| Series |
Studies in fuzziness and soft computing, 1434-9922 ; volume 338 |
|
Studies in fuzziness and soft computing ; v. 338. 1434-9922
|
| Contents |
Introduction -- Basic Notions -- Classical Sentential Calculus and Lukasiewicz Sentential Calculus -- MV -Algebras: Generalities -- Local MV -algebras -- Perfect MV -algebras -- The Variety Generated by Perfect MV -algebras -- Representations of Perfect MV -algebras -- The Logic of Perfect Algebras -- The Logic of Quasi True -- Perfect Pavelka Logic |
| Summary |
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 |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
|
Online resource; title from PDF title page (SpringerLink, viewed March 23, 2016) |
| Subject |
Fuzzy logic.
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Algebra.
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Maths for computer scientists.
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Artificial intelligence.
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Mathematics -- Algebra -- Abstract.
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Computers -- Data Processing.
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Computers -- Intelligence (AI) & Semantics.
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Fuzzy logic
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| Form |
Electronic book
|
| Author |
Grigolia, Revaz, author
|
|
Turunen, Esko, 1955- author.
|
| ISBN |
9783319304069 |
|
3319304062 |
|
3319304046 |
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9783319304045 |
|
