Algebraic Methods in General Rough Sets

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...

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Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Edice:Trends in Mathematics,
Témata:
Algebra.
Mathematical logic.
Information theory.
ISBN:9783030011628
ISSN:2297-0215
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Obsah:
  • 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.

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