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Non-Commutative Multiple-Valued Logic Algebras

Non-Commutative Multiple-Valued Logic Algebras

Paperback

Series: Springer Monographs in Mathematics

FictionAlgebraProbability & Statistics

ISBN10: 3319032992
ISBN13: 9783319032993
Publisher: Springer Nature
Published: Aug 20 2015
Pages: 276
Weight: 0.91
Height: 0.61 Width: 6.14 Depth: 9.21
Language: English

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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