Volume 27 2008

A Geometry of Approximation

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

Editors:

ISBN: 978-1-4020-8621-2 (Print) 978-1-4020-8622-9 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages i-lxxxii

  2. Perception and Concepts: A Phenomenological

    1. No Access

      Book Chapter

      Pages 3-42

      Observations, Noumena and Phenomena

    2. No Access

      Book Chapter

      Pages 43-71

      Concrete and Formal Information Constructions

    3. No Access

      Book Chapter

      Pages 73-105

      Pre-Topological and Topological Approximation Operators

    4. No Access

      Book Chapter

      Pages 107-166

      Frames (Part I)

  3. The Logico-Algebraic Theory of Rough Sets

    1. No Access

      Book Chapter

      Pages 169-191

      Logic and Rough Sets: An Overview

    2. No Access

      Book Chapter

      Pages 193-210

      Basic Logico-Algebraic Structures

    3. No Access

      Book Chapter

      Pages 211-236

      Local Validity, Grothendieck Topologies and Rough Sets

    4. No Access

      Book Chapter

      Pages 237-254

      Approximation and Algebraic Logic

    5. No Access

      Book Chapter

      Pages 255-279

      A Logico-Philosophic Excursus

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      Book Chapter

      Pages 281-359

      Frames (Part II)

  4. The Modal Logic of Rough Sets

    1. No Access

      Book Chapter

      Pages 363-387

      Modality and Knowledge

    2. No Access

      Book Chapter

      Pages 389-469

      Modalities and Relations

    3. No Access

      Book Chapter

      Pages 471-477

      Modalities, Topologies and Algebras

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      Book Chapter

      Pages 479-503

      The Propositional Modal Logic of Rough Sets

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      Book Chapter

      Pages 505-613

      Frames (Part III)

    6. No Access

      Book Chapter

      Pages 615-629

      Mathematical Toolkits

  5. Back Matter

    Pages 631-704