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Algebraic methods in general rough sets

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Algebraic methods in general rough sets/ edited by A. Mani, Gianpiero Cattaneo, Ivo Düntsch.
其他作者:	Mani, A.
出版者:	Cham :Springer International Publishing : : 2018.,
面頁冊數:	xvi, 733 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Rough sets. -
電子資源:	https://doi.org/10.1007/978-3-030-01162-8
ISBN:	9783030011628

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

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

566870
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.
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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.
650 0 $a Rough sets. $3 566870
650 1 4 $a General Algebraic Systems. $3 672227
650 2 4 $a Mathematical Logic and Formal Languages. $3 670059
650 2 4 $a Information and Communication, Circuits. $3 671312
700 1 $a Mani, A. $3 1211808
700 1 $a Cattaneo, Gianpiero. $3 1211809
700 1 $a Düntsch, Ivo. $3 1211810
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