Fuzzy Logic of Quasi-Truth: An Algebraic Treatment

AvAntonio Di Nola,Revaz Grigolia

Inbunden, Engelska, 2016

Del 338 i serien Studies in Fuzziness and Soft Computing

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Beskrivning

This book presents the first algebraic treatment of quasi-truth fuzzy logic and covers the algebraic foundations of many-valued logic. 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.

Produktinformation

Utgivningsdatum:2016-03-30
Mått:155 x 235 x 15 mm
Vikt:342 g
Format:Inbunden
Språk:Engelska
Serie:Studies in Fuzziness and Soft Computing
Antal sidor:116
Upplaga:16001
Förlag:Springer International Publishing AG
ISBN:9783319304045

Utforska kategorier

Systemvetenskap och AI inom Data och IT
Matematikens grunder inom Naturvetenskap och teknik
Artificiell intelligens inom Data och IT

Recensioner i media

“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)

Innehållsförteckning

Introduction.- Basic Notions.- Classical Sentential Calculus and Lukasiewicz SententialCalculus.- 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.

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