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.
