Fuzzy Logic of Quasi-Truth: An Algebraic Treatment

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)...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Di Nola, Antonio (Autor), Grigolia, Revaz (Autor), Turunen, Esko (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:Studies in Fuzziness and Soft Computing, 338
Temas:
Computational intelligence.
Universal algebra.
Computer science-Mathematics.
Computational Intelligence.
General Algebraic Systems.
Symbolic and Algebraic Manipulation.
Acceso en línea:Texto Completo

MARC

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520 |a 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. 
650 0 |a Computational intelligence. 
650 0 |a Universal algebra. 
650 0 |a Computer science-Mathematics. 
650 1 4 |a Computational Intelligence. 
650 2 4 |a General Algebraic Systems. 
650 2 4 |a Symbolic and Algebraic Manipulation. 
700 1 |a Grigolia, Revaz.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Turunen, Esko.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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776 0 8 |i Printed edition:  |z 9783319304045 
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830 0 |a Studies in Fuzziness and Soft Computing,  |x 1860-0808 ;  |v 338 
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950 |a Engineering (R0) (SpringerNature-43712) 

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