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Granular Computing

An Emerging Paradigm

  • Book
  • © 2001

Overview

Editors:
  1. Witold Pedrycz

    1. Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Canada
      Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

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  • A well-balanced approach to the area covering the methodology, detailed algorithms and computational aspects of Granular Computing, with abundant illustrative material
  • The reader becomes familiar with the paradigm of Granular Computing and its usage to the design of intelligent systems
  • Includes supplementary material: sn.pub/extras

Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 70)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-vi
    Download chapter PDF

  2. Interval Arithmetic and Interval Analysis: An Introduction

    • Jon G. Rokne
    Pages 1-22

  3. Interval and Ellipsoidal Uncertainty Models

    • Andrzej Bargiela
    Pages 23-57

  4. Nonlinear Bounded-Error Parameter Estimation Using Interval Computation

    • L. Jaulin, E. Walter
    Pages 58-71

  5. Random-Sets: Theory and Applications

    • Javier Nuñez-Garcia, Olaf Wolkenhauer
    Pages 72-94

  6. Rough Sets and Boolean Reasoning

    • Andrzej Skowron
    Pages 95-124

  7. Granulation and Nearest Neighborhoods: Rough Set Approach

    • T. Y. Lin
    Pages 125-142

  8. An Inquiry into the Theory of Defuzzification

    • Shounak Roychowdhury
    Pages 143-162

  9. Fuzzy Partitioning Methods

    • Christophe Marsala
    Pages 163-186

  10. A Coding Method to Handle Linguistic Variables

    • A. Bailón, A. Blanco, M. Delgado, W. Fajardo
    Pages 187-214

  11. A Formal Theory of Fuzzy Natural Language Quantification and its Role in Granular Computing

    • Ingo Glöckner, Alois Knoll
    Pages 215-256

  12. Granularity and Specificity in Fuzzy Rule-Based Systems

    • Thomas Sudkamp
    Pages 257-274

  13. Granular Computing in Neural Networks

    • Scott Dick, Abraham Kandel
    Pages 275-305

  14. Fuzzy Clustering for Multiple-Model Approaches in System Identification and Control

    • R. BabuÅ¡ka, M. Oosterom
    Pages 306-323

  15. Information Granulation in Automated Modeling

    • Matthew Easley, Elizabeth Bradley
    Pages 324-340

  16. Optical Music Recognition: the Case of Granular Computing

    • WÅ‚adysÅ‚aw Homenda
    Pages 341-366

  17. Modeling MPEG VBR Video Traffic Using Type-2 Fuzzy Logic Systems

    • Qilian Liang, Jerry M. Mendel
    Pages 367-383

  18. Induction of Rules about Complications with the use of Rough Sets

    • Shusaku Tsumoto
    Pages 384-397
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Keywords

About this book

Granular Computing is concerned with constructing and processing carried out at the level of information granules. Using information granules, we comprehend the world and interact with it, no matter which intelligent endeavor this may involve. The landscape of granular computing is immensely rich and involves set theory (interval mathematics), fuzzy sets, rough sets, random sets linked together in a highly synergetic environment. This volume is a first comprehensive treatment of this emerging paradigm and embraces its fundamentals, underlying methodological framework, and a sound algorithmic environment. The panoply of applications covered includes system identification, telecommunications, linguistics and music processing. Written by experts in the field, this volume will appeal to all developing intelligent systems, either working at the methodological level or interested in detailed system realization.

Editors and Affiliations

  • Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Canada

    Witold Pedrycz

  • Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Witold Pedrycz

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