A Geometry of Approximation

Rough Set Theory: Logic, Algebra and Topology of Conceptual Patterns

  • Piero Pagliani
  • Mihir Chakraborty

Part of the Trends in Logic book series (TREN, volume 27)

Table of contents

  1. Front Matter
    Pages i-lxxxii
  2. Perception and Concepts: A Phenomenological

  3. The Logico-Algebraic Theory of Rough Sets

  4. The Modal Logic of Rough Sets

  5. Back Matter
    Pages 631-704

About this book

Introduction

'A Geometry of Approximation' addresses Rough Set Theory, a field of interdisciplinary research first proposed by Zdzislaw Pawlak in 1982, and focuses mainly on its logic-algebraic interpretation. The theory is embedded in a broader perspective that includes logical and mathematical methodologies pertaining to the theory, as well as related epistemological issues. Any mathematical technique that is introduced in the book is preceded by logical and epistemological explanations. Intuitive justifications are also provided, insofar as possible, so that the general perspective is not lost.

Such an approach endows the present treatise with a unique character. Due to this uniqueness in the treatment of the subject, the book will be useful to researchers, graduate and pre-graduate students from various disciplines, such as computer science, mathematics and philosophy. It features an impressive number of examples supported by about 40 tables and 230 figures. The comprehensive index of concepts turns the book into a sort of encyclopaedia for researchers from a number of fields.

'A Geometry of Approximation' links many areas of academic pursuit without losing track of its focal point, Rough Sets.

Keywords

Algebraic logic Approximation Conceptual patterns Data mining Incomplete information Rough Sets Topology logic modal logic

Editors and affiliations

  • Piero Pagliani
    • 1
  • Mihir Chakraborty
    • 2
  1. 1.Research Group on Knowledge and Communication ModelsRomeItaly
  2. 2.University of CalcuttaIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4020-8622-9
  • Copyright Information Springer Netherlands 2008
  • Publisher Name Springer, Dordrecht
  • eBook Packages Humanities, Social Sciences and Law
  • Print ISBN 978-1-4020-8621-2
  • Online ISBN 978-1-4020-8622-9
  • About this book