000 03064nam a22005055i 4500
001 978-3-319-01589-7
003 DE-He213
005 20140220082509.0
007 cr nn 008mamaa
008 130822s2014 gw | s |||| 0|eng d
020 _a9783319015897
_9978-3-319-01589-7
024 7 _a10.1007/978-3-319-01589-7
_2doi
050 4 _aQA8.9-10.3
072 7 _aPBC
_2bicssc
072 7 _aPBCD
_2bicssc
072 7 _aMAT018000
_2bisacsh
082 0 4 _a511.3
_223
100 1 _aCiungu, Lavinia Corina.
_eauthor.
245 1 0 _aNon-commutative Multiple-Valued Logic Algebras
_h[electronic resource] /
_cby Lavinia Corina Ciungu.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aXIV, 276 p. 8 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Monographs in Mathematics,
_x1439-7382
505 0 _aPseudo-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.
520 _aThis 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.
650 0 _aMathematics.
650 0 _aAlgebra.
650 0 _aLogic, Symbolic and mathematical.
650 0 _aDistribution (Probability theory).
650 1 4 _aMathematics.
650 2 4 _aMathematical Logic and Foundations.
650 2 4 _aOrder, Lattices, Ordered Algebraic Structures.
650 2 4 _aProbability Theory and Stochastic Processes.
650 2 4 _aMeasure and Integration.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319015880
830 0 _aSpringer Monographs in Mathematics,
_x1439-7382
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-01589-7
912 _aZDB-2-SMA
999 _c92693
_d92693