Non-commutative Multiple-Valued Logic Algebras

• Main Author: Ciungu, Lavinia Corina (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Algebra.; Ordered algebraic structures.; Measure theory.; Mathematical logic.; Probabilities.; Mathematical Logic and Foundations.; Order, Lattices, Ordered Algebraic Structures.; Probability Theory and Stochastic Processes.; Measure and Integration.

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 newes...

Table of Contents:

• 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.