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Non-commutative Multiple-Valued Logic Algebras

von Ciungu, Lavinia Corina   (Autor)

This monograph provides a self-contained introduction to non-commutative multiple-valued logic algebras. It includes treatment of pseudo-BCK algebras, pseudo-hoops, residuated lattices, bounded divisible residuated lattices, and pseudo-MV algebras.

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Produktbeschreibung

This monograph provides a self-contained and easy-to-read introduction to non-commutative multiple-valued logic algebras; a subject which has attracted much interest in the past few years because of its impact on information science, artificial intelligence and other subjects. A study of the newest results in the field, the monograph includes treatment of pseudo-BCK algebras, pseudo-hoops, residuated lattices, bounded divisible residuated lattices, pseudo-MTL algebras, pseudo-BL algebras and pseudo-MV algebras. It provides a fresh perspective on new trends in logic and algebras in that algebraic structures can be developed into fuzzy logics which connect quantum mechanics, mathematical logic, probability theory, algebra and soft computing. Written in a clear, concise and direct manner, Non-Commutative Multiple-Valued Logic Algebras will be of interest to masters and PhD students, as well as researchers in mathematical logic and theoretical computer science. 

Inhaltsverzeichnis

Pseudo-BCK algebras.- Pseudo-hoops.- Residuated lattices.- Other non-commutative multiple-valued logic algebras.- Classes of non-commutative residuated structures.- States on multiple-valued logic algebras.- Measures on pseudo-BCK algebras.- Generalized states on residuated structures.- Pseudo-hoops with internal states. 

Kritik


From the reviews:



"Over the last 25 years, many-valued logics and their algebras have been increasingly attracting the attention of various researchers worldwide ... . The monograph under review provides a virtually self-contained introduction to all these algebras. ... This book is a valuable addition to the literature on noncommutative algebraic logic: it will be of interest to researchers in mathematical logic and theoretical computer science." (Daniele Mundici, zbMATH, Vol. 1279, 2014) 

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Ciungu, Lavinia Corina

Produktdetails

Medium: Buch
Format: Gebunden
Seiten: 292
Sprache: Englisch
Erschienen: September 2013
Auflage: 2014
Maße: 241 x 160 mm
Gewicht: 606 g
ISBN-10: 3319015885
ISBN-13: 9783319015880
Verlagsbestell-Nr.: 86279496

Bestell-Nr.: 14240492 
Libri-Verkaufsrang (LVR):
Libri-Relevanz: 0 (max 9.999)
Bestell-Nr. Verlag: 86279496

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Rohertrag: 11,50 €
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KNO: 41938620
KNO-EK*: 64.06 € (25%)
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KNO-MS: 97

KNO-SAMMLUNG: Springer Monographs in Mathematics
P_ABB: 8 illus.
KNOABBVERMERK: 2013. xiv, 276 S. XIV, 276 p. 235 mm
Einband: Gebunden
Auflage: 2014
Sprache: Englisch
Beilage(n): HC runder Rücken kaschiert

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