Mani A, Cattaneo G., Düntsch I. (Eds.) Algebraic Methods in General Rough Sets

Springer, 2019. — 740 p. — (Trends in Mathematics). — ISBN: 3030011615.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.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