Non commutative Multiple Valued Logic Algebras 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 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