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Algebraic Methods in General Rough Sets

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Algebraic Methods in General Rough Sets/ edited by A. Mani, Gianpiero Cattaneo, Ivo Düntsch.
other author:	Mani, A.
Description:	XVI, 733 p. 120 illus., 4 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Algebra. -
Online resource:	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. - 1st ed. 2018. - XVI, 733 p. 120 illus., 4 illus. in color.online resource. - 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:

579870
Algebra.

LC Class. No.: QA150-272

Dewey Class. No.: 512

Algebraic Methods in General Rough Sets
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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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