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Non-commutative Multiple-Valued Logic Algebras: Springer Monographs in Mathematics

Autor Lavinia Corina Ciungu
en Limba Engleză Hardback – 5 sep 2013
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.
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Specificații

ISBN-13: 9783319015880
ISBN-10: 3319015885
Pagini: 312
Ilustrații: XIV, 276 p.
Dimensiuni: 155 x 235 x 22 mm
Greutate: 0.61 kg
Ediția:2014
Editura: Springer International Publishing
Colecția Springer
Seria Springer Monographs in Mathematics

Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

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.

Recenzii

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)

Textul de pe ultima copertă

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.

Caracteristici

First monograph which treats unitary the non-commutative multiple-valued logic algebras from general to particular; that is, from pseudo-BCK algebras to pseudo-MV algebras Explains the development of the field over the past few decades Presents a fresh view on new trends in logic and algebra Includes supplementary material: sn.pub/extras