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Granular Computing

An Introduction

  • Andrzej Bargiela
  • Witold Pedrycz

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Methodology and Mathematical Framework

    1. Front Matter
      Pages xix-xix
    2. Andrzej Bargiela, Witold Pedrycz
      Pages 1-18
    3. Andrzej Bargiela, Witold Pedrycz
      Pages 19-46
    4. Andrzej Bargiela, Witold Pedrycz
      Pages 47-79
    5. Andrzej Bargiela, Witold Pedrycz
      Pages 81-97
    6. Andrzej Bargiela, Witold Pedrycz
      Pages 99-124
  3. Algorithms of Information Granulation

    1. Front Matter
      Pages N1-N1
    2. Andrzej Bargiela, Witold Pedrycz
      Pages 125-160
    3. Andrzej Bargiela, Witold Pedrycz
      Pages 161-192
    4. Andrzej Bargiela, Witold Pedrycz
      Pages 193-215
    5. Andrzej Bargiela, Witold Pedrycz
      Pages 217-233
    6. Andrzej Bargiela, Witold Pedrycz
      Pages 235-254
  4. Granular World Communications

    1. Front Matter
      Pages N2-N2
    2. Andrzej Bargiela, Witold Pedrycz
      Pages 255-265
    3. Andrzej Bargiela, Witold Pedrycz
      Pages 267-299
    4. Andrzej Bargiela, Witold Pedrycz
      Pages 301-322
    5. Andrzej Bargiela, Witold Pedrycz
      Pages 323-348
  5. Granular Systems Applications

    1. Front Matter
      Pages N3-N3
    2. Andrzej Bargiela, Witold Pedrycz
      Pages 349-376
    3. Andrzej Bargiela, Witold Pedrycz
      Pages 377-397
    4. Andrzej Bargiela, Witold Pedrycz
      Pages 399-416
    5. Andrzej Bargiela, Witold Pedrycz
      Pages 417-446
    6. Andrzej Bargiela, Witold Pedrycz
      Pages 447-447
  6. Back Matter
    Pages 449-452

About this book

Introduction

This book is about Granular Computing (GC) - an emerging conceptual and of information processing. As the name suggests, GC concerns computing paradigm processing of complex information entities - information granules. In essence, information granules arise in the process of abstraction of data and derivation of knowledge from information. Information granules are everywhere. We commonly use granules of time (seconds, months, years). We granulate images; millions of pixels manipulated individually by computers appear to us as granules representing physical objects. In natural language, we operate on the basis of word-granules that become crucial entities used to realize interaction and communication between humans. Intuitively, we sense that information granules are at the heart of all our perceptual activities. In the past, several formal frameworks and tools, geared for processing specific information granules, have been proposed. Interval analysis, rough sets, fuzzy sets have all played important role in knowledge representation and processing. Subsequently, information granulation and information granules arose in numerous application domains. Well-known ideas of rule-based systems dwell inherently on information granules. Qualitative modeling, being one of the leading threads of AI, operates on a level of information granules. Multi-tier architectures and hierarchical systems (such as those encountered in control engineering), planning and scheduling systems all exploit information granularity. We also utilize information granules when it comes to functionality granulation, reusability of information and efficient ways of developing underlying information infrastructures.

Keywords

Fuzzy Information Signal algorithm algorithms calculus communication data compression fuzzy set intelligent systems modeling set theory

Authors and affiliations

  • Andrzej Bargiela
    • 1
  • Witold Pedrycz
    • 2
  1. 1.The Nottingham Trent UniversityNottinghamUK
  2. 2.University of AlbertaEdmontonCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-1033-8
  • Copyright Information Kluwer Academic Publishers 2003
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-5361-4
  • Online ISBN 978-1-4615-1033-8
  • Series Print ISSN 0893-3405
  • Buy this book on publisher's site