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Algebraic methods in general rough sets

Cattaneo, Gianpiero.

Algebraic methods in general rough sets

Record Type:	Electronic resources : Monograph/item
Title/Author:	Algebraic methods in general rough setsedited by A. Mani, Gianpiero Cattaneo, Ivo Düntsch.
other author:	Mani, A.
Published:	Cham :Springer International Publishing :2018.
Description:	xvi, 733 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Rough sets.
Online resource:	https://doi.org/10.1007/978-3-030-01162-8
ISBN:	9783030011628$q(electronic bk.)

Algebraic methods in general rough sets
Algebraic methods in general rough sets[electronic resource] /edited by A. Mani, Gianpiero Cattaneo, Ivo Düntsch. - Cham :Springer International Publishing :2018. - xvi, 733 p. :ill., digital ;24 cm. - Trends in mathematics,2297-0215. - Trends in mathematics..

Introduction -- 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.

This 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.

ISBN: 9783030011628$q(electronic bk.)

Standard No.: 10.1007/978-3-030-01162-8doiSubjects--Topical Terms:

231623
Rough sets.

LC Class. No.: QA248

Dewey Class. No.: 511.322

Algebraic methods in general rough sets
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245 0 0 $a Algebraic methods in general rough sets $h [electronic resource] / $c edited by A. Mani, Gianpiero Cattaneo, Ivo Düntsch.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2018.
300 $a xvi, 733 p. : $b ill., digital ; $c 24 cm.
490 1 $a Trends in mathematics, $x 2297-0215
505 0 $a Introduction -- 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.
520 $a This 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.
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650 1 4 $a General Algebraic Systems. $3 275666
650 2 4 $a Mathematical Logic and Formal Languages. $3 275383
650 2 4 $a Information and Communication, Circuits. $3 276027
700 1 $a Mani, A. $3 825918
700 1 $a Cattaneo, Gianpiero. $3 825919
700 1 $a Düntsch, Ivo. $3 825920
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Trends in mathematics. $3 573146
856 4 0 $u https://doi.org/10.1007/978-3-030-01162-8
950 $a Mathematics and Statistics (Springer-11649)