Algebraic Methods in General Rough Sets

A. Mani (Hrsg.), Gianpiero Cattaneo (Hrsg.), Ivo Düntsch (Hrsg.)

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Naturwissenschaften, Medizin, Informatik, Technik / Arithmetik, Algebra

Beschreibung

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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Schlagwörter

ideal-based rough sets, inverse problems, algebras of rough sets, double stone algebras, rough rings, granular rough sets, knowledge algebras, rough semigroups, ortho-pairs, proto-vague semantics, granular operator spaces, rough dualities, kleene algebras, nelson algebras, rough Y-systems, rough orders, quasi- varieties, BZMV-algebras, s-Approximation spaces, lukasiewicz algebras