Overview
- 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
Part of the book series: Springer Monographs in Mathematics (SMM)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (9 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
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.
Reviews
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)
Authors and Affiliations
Bibliographic Information
Book Title: Non-commutative Multiple-Valued Logic Algebras
Authors: Lavinia Corina Ciungu
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-3-319-01589-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-01588-0Published: 05 September 2013
Softcover ISBN: 978-3-319-03299-3Published: 20 August 2015
eBook ISBN: 978-3-319-01589-7Published: 23 August 2013
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XIV, 276
Topics: Mathematical Logic and Foundations, Order, Lattices, Ordered Algebraic Structures, Probability Theory and Stochastic Processes, Measure and Integration