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Algebraic Methods in General Rough Sets

  • A. Mani
  • Gianpiero Cattaneo
  • Ivo Düntsch

Part of the Trends in Mathematics book series (TM)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. A. Mani, Gianpiero Cattaneo, Ivo Düntsch
    Pages 1-11
  3. Jouni Järvinen, Sándor Radeleczki
    Pages 417-457
  4. Gianpiero Cattaneo, Davide Ciucci
    Pages 553-640
  5. Patrik Eklund, María-Ángeles Galán-García
    Pages 641-655
  6. Ali Shakiba
    Pages 697-725
  7. Back Matter
    Pages 727-733

About this book

Introduction

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.

Keywords

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

Editors and affiliations

  • A. Mani
    • 1
  • Gianpiero Cattaneo
    • 2
  • Ivo Düntsch
    • 3
  1. 1.Department of Pure MathematicsUniversity of CalcuttaKolkataIndia
  2. 2.Department of InformaticsUniversity of Milano-BicoccaMilanoItaly
  3. 3.Fujian Normal UniversityCollege of Mathematics and InformaticsFuzhouChina

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-01162-8
  • Copyright Information Springer Nature Switzerland AG 2018
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-01161-1
  • Online ISBN 978-3-030-01162-8
  • Series Print ISSN 2297-0215
  • Series Online ISSN 2297-024X
  • Buy this book on publisher's site