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Algebraic methods in general rough sets

Author: A Mani; Gianpiero Cattaneo; Ivo Düntsch
Publisher: Cham : Birkhäuser, 2018.
Series: Trends in mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: A Mani; Gianpiero Cattaneo; Ivo Düntsch
ISBN: 9783030011628 3030011623
OCLC Number: 1082136509
Description: 1 online resource
Contents: 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.
Series Title: Trends in mathematics.
Responsibility: A. Mani, Gianpiero Cattaneo, Ivo Düntsch, editors.

Abstract:

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  Read more...

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