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＜電子ブック＞
Non-commutative Multiple-Valued Logic Algebras / by Lavinia Corina Ciungu
(Springer Monographs in Mathematics. ISSN:21969922)

版	1st ed. 2014.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2014
本文言語	英語
大きさ	XIV, 276 p : online resource
著者標目	*Ciungu, Lavinia Corina author SpringerLink (Online service)
件　名	LCSH:Mathematical logic LCSH:Algebra LCSH:Probabilities LCSH:Measure theory FREE:Mathematical Logic and Foundations FREE:Order, Lattices, Ordered Algebraic Structures FREE:Probability Theory FREE:Measure and Integration
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-319-01589-7

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