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  • © 2008

The Puzzle of Granular Computing

  • Highly unique and relevant book presenting the key fundamentals and practice of Granular Computing
  • Brings the fundamental issues of information granularity and statistical inference into a coherent, unified, and highly operational framework

Part of the book series: Studies in Computational Intelligence (SCI, volume 138)

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Table of contents (12 chapters)

  1. Front Matter

  2. The General Framework

    1. Front Matter

      Pages 1-1
    2. Granule Formation Around Data

      • Bruno Apolloni, Witold Pedrycz, Simone Bassis, Dario Malchiodi
      Pages 3-39
  3. Part I: Algorithmic Inference

    1. Front Matter

      Pages 41-41
    2. Modeling Samples

      • Bruno Apolloni, Witold Pedrycz, Simone Bassis, Dario Malchiodi
      Pages 43-64
    3. Inferring from Samples

      • Bruno Apolloni, Witold Pedrycz, Simone Bassis, Dario Malchiodi
      Pages 65-123
  4. Part II: The Development of Fuzzy Sets

    1. Front Matter

      Pages 125-125
    2. Construction of Information Granules: From Data and Perceptions to Information Granules

      • Bruno Apolloni, Witold Pedrycz, Simone Bassis, Dario Malchiodi
      Pages 127-154
    3. Estimating Fuzzy Sets

      • Bruno Apolloni, Witold Pedrycz, Simone Bassis, Dario Malchiodi
      Pages 155-188
  5. Part III: Expanding Granula into Boolean Functions

    1. Front Matter

      Pages 189-190
    2. The Clustering Problem

      • Bruno Apolloni, Witold Pedrycz, Simone Bassis, Dario Malchiodi
      Pages 191-232
    3. Suitably Representing Data

      • Bruno Apolloni, Witold Pedrycz, Simone Bassis, Dario Malchiodi
      Pages 233-272
  6. Part IV: Directing Populations

    1. Front Matter

      Pages 273-273
    2. The Main Paradigms of Social Computation

      • Bruno Apolloni, Witold Pedrycz, Simone Bassis, Dario Malchiodi
      Pages 275-316
    3. If also Ants Are Able...

      • Bruno Apolloni, Witold Pedrycz, Simone Bassis, Dario Malchiodi
      Pages 317-340
  7. Part V: Granular Constructs

    1. Front Matter

      Pages 341-341
    2. Granular Constructs

      • Bruno Apolloni, Witold Pedrycz, Simone Bassis, Dario Malchiodi
      Pages 343-384
    3. Identifying Fuzzy Rules

      • Bruno Apolloni, Witold Pedrycz, Simone Bassis, Dario Malchiodi
      Pages 385-408
  8. A Conceptual Synthesis

    1. Front Matter

      Pages 409-409
    2. Knowledge Engineering

      • Bruno Apolloni, Witold Pedrycz, Simone Bassis, Dario Malchiodi
      Pages 411-449

About this book

Rem tene, verba sequentur (Gaius J. Victor, Rome VI century b.c.)

The ultimate goal of this book is to bring the fundamental issues of information granularity, inference tools and problem solving procedures into a coherent, unified, and fully operational framework. The objective is to offer the reader a comprehensive, self-contained, and uniform exposure to the subject.The strategy is to isolate some fundamental bricks of Computational Intelligence in terms of key problems and methods, and discuss their implementation and underlying rationale within a well structured and rigorous conceptual framework as well as carefully related to various application facets. The main assumption is that a deep understanding of the key problems will allow the reader to compose into a meaningful mosaic the puzzle pieces represented by the immense varieties of approaches present in the literature and in the computational practice. All in all, the main approach advocated in the monograph consists of a sequence of steps offering solid conceptual fundamentals, presenting a carefully selected collection of design methodologies, discussing a wealth of development guidelines, and exemplifying them with a pertinent, accurately selected illustrative material.

Authors and Affiliations

  • University of Milano, Italy

    Bruno Apolloni, Simone Bassis, Dario Malchiodi

  • University of Alberta , Edmonton, Canada

    Witold Pedrycz

About the authors

Bruno Apolloni is Full Professor in Computer Science in the University of Milano, Italy. His main research interests are at the frontier area between probability and mathematical statistics and computer science, with special interest to pattern recognition and multivariate data analysis, probabilistic analysis of algorithms, subsymbolic and symbolic learning processes, and fuzzy systems.

Witold Pedrycz is Professor and Canada Research Chair (CRC) in the Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Canada. He is also with the Systems Research Institute of the Polish Academy of Sciences. His dominant research is in Computational Intelligence, fuzzy modeling, knowledge discovery and data mining, pattern recognition, and knowledge-based neural networks.

Dario Malchiodi is Assistant Professor in the Computer Science Department, University of Milano, Italy. His research activities concern the treatment of uncertain information and related aspects of mathematical statistics and artificial intelligence, including applications to machine learning and relevance learning.

Simone Bassis is an assistant professor in the Department of Computer Science, University of Milano, Italy. His main research activities concern the inference of spatial and temporal processes, including linear and nonlinear statistical regression, fractal processes identification, and evolutionary dynamics.

Bibliographic Information

Buy it now

Buying options

eBook USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 219.99
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