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100   $a20190111d2018      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aAlgebraic Methods in General Rough Sets /$fedited by A. Mani, Gianpiero Cattaneo, Ivo Düntsch
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2018.
215   $a1 online resource (XVI, 733 p. 120 illus., 4 illus. in color.) 
225 1 $aTrends in Mathematics,$x2297-0215
311   $a3-030-01161-5 
327   $aIntroduction -- Algebraic Methods for Rough Approximation Spaces by Lattice Interior?Closure Operations -- Algebraic Methods for Granular Rough Sets -- Three Lessons on the Topological and Algebraic Hidden Core of Rough Set Theory -- Irredundant Coverings, Tolerances, and Related Algebras -- Algebraic Representation, Dualities and Beyond.-Algebraic Methods for Orthopairs and Induced Rough Approximation Spaces -- Rough Objects in Monoidal Closed Categories -- Rough Algebraic Structures Corresponding to Ring Theory -- S-approximation Spaces -- Index.
330   $aThis unique collection of research papers offers a comprehensive and up-to-date guide to algebraic approaches to rough sets and reasoning with vagueness. It bridges important gaps, outlines intriguing future research directions, and connects algebraic approaches to rough sets with those for other forms of approximate reasoning. In addition, the book reworks algebraic approaches to axiomatic granularity. Given its scope, the book offers a valuable resource for researchers and teachers in the areas of rough sets and algebras of rough sets, algebraic logic, non classical logic, fuzzy sets, possibility theory, formal concept analysis, computational learning theory, category theory, and other formal approaches to vagueness and approximate reasoning. Consultants in AI and allied fields will also find the book to be of great practical value.
410  0$aTrends in Mathematics,$x2297-0215
606   $aAlgebra
606   $aMathematical logic
606   $aInformation theory
606   $aGeneral Algebraic Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/M1106X
606   $aMathematical Logic and Formal Languages$3https://scigraph.springernature.com/ontologies/product-market-codes/I16048
606   $aInformation and Communication, Circuits$3https://scigraph.springernature.com/ontologies/product-market-codes/M13038
615  0$aAlgebra.
615  0$aMathematical logic.
615  0$aInformation theory.
615 14$aGeneral Algebraic Systems.
615 24$aMathematical Logic and Formal Languages.
615 24$aInformation and Communication, Circuits.
676   $a512
702   $aMani$b A$4edt$4http://id.loc.gov/vocabulary/relators/edt
702   $aCattaneo$b Gianpiero$4edt$4http://id.loc.gov/vocabulary/relators/edt
702   $aDüntsch$b Ivo$4edt$4http://id.loc.gov/vocabulary/relators/edt
906   $aBOOK
912   $a9910309662803321
996   $aAlgebraic Methods in General Rough Sets$91564645
997   $aUNINA