Algebraic Methods in General Rough Sets

• Corporate Author: SpringerLink (Online service)
• Other Authors: Mani, A. (Editor, http://id.loc.gov/vocabulary/relators/edt), Cattaneo, Gianpiero (Editor, http://id.loc.gov/vocabulary/relators/edt), Düntsch, Ivo (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Series: Trends in Mathematics,
• Subjects: Algebra.; Mathematical logic.; Information theory.; General Algebraic Systems.; Mathematical Logic and Formal Languages.; Information and Communication, Circuits.

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 fo...

Table of 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.