Skip to main content
SpringerLink
Log in
Birkhäuser
Book cover

Algebraic Methods in General Rough Sets

  • Book
  • © 2018

Overview

Editors:
  1. A. Mani

    1. Department of Pure Mathematics, University of Calcutta, Kolkata, India

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Gianpiero Cattaneo

    1. Department of Informatics, University of Milano-Bicocca, Milano, Italy

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Ivo Düntsch

    1. Fujian Normal University, College of Mathematics and Informatics, Fuzhou, China

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Detailed up-to-date guide to algebraic approaches to general rough sets and formal algebraic approaches to vagueness.
  • Bridges important gaps and connects algebraic approaches to rough sets with those for other forms of approximate reasoning.
  • Researchers, teachers and AI consultants at all levels of maturity will find this book invaluable.

Part of the book series: Trends in Mathematics (TM)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 109.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 139.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (10 chapters)

  1. Front Matter

    Pages i-xvi
    Download chapter PDF

  2. Introduction

    • A. Mani, Gianpiero Cattaneo, Ivo Düntsch
    Pages 1-11

  3. Algebraic Methods for Rough Approximation Spaces by Lattice Interior–Closure Operations

    • Gianpiero Cattaneo
    Pages 13-156

  4. Algebraic Methods for Granular Rough Sets

    • A. Mani
    Pages 157-335

  5. Three Lessons on the Topological and Algebraic Hidden Core of Rough Set Theory

    • Piero Pagliani
    Pages 337-415

  6. Irredundant Coverings, Tolerances, and Related Algebras

    • Jouni Järvinen, Sándor Radeleczki
    Pages 417-457

  7. Algebraic Representation, Dualities and Beyond

    • A. Mani
    Pages 459-552

  8. Algebraic Methods for Orthopairs and Induced Rough Approximation Spaces

    • Gianpiero Cattaneo, Davide Ciucci
    Pages 553-640

  9. Rough Objects in Monoidal Closed Categories

    • Patrik Eklund, María-Ángeles Galán-García
    Pages 641-655

  10. Rough Algebraic Structures Corresponding to Ring Theory

    • Bijan Davvaz
    Pages 657-695

  11. S-Approximation Spaces

    • Ali Shakiba
    Pages 697-725

  12. Back Matter

    Pages 727-733
    Download chapter PDF
Back to top

Keywords

About this book

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.

Editors and Affiliations

  • Department of Pure Mathematics, University of Calcutta, Kolkata, India

    A. Mani

  • Department of Informatics, University of Milano-Bicocca, Milano, Italy

    Gianpiero Cattaneo

  • Fujian Normal University, College of Mathematics and Informatics, Fuzhou, China

    Ivo Düntsch

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation