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Statistical Modeling, Analysis and Management of Fuzzy Data

  • Carlo Bertoluzza
  • María-Ángeles Gil
  • Dan A. Ralescu

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 87)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Fuzziness and Randomness

    1. Front Matter
      Pages 1-1
    2. Irwin R. Goodman, Hung T. Nguyen
      Pages 3-21
  3. Fuzzy-Valued Random Elements

    1. Front Matter
      Pages 23-23
    2. Ralf Körner, Wolfgang Näther
      Pages 25-42
    3. María Asunción Lubiano, María Ángeles Gil
      Pages 43-63
    4. Pedro Terán, Miguel López-Díaz
      Pages 90-103
  4. Possibility, Probability and Fuzzy Measures

    1. Front Matter
      Pages 117-117
    2. Dan A. Ralescu
      Pages 119-126
    3. Inés Couso, Susana Montes, Pedro Gil
      Pages 127-144
    4. P. Z. Wang, Y. C. Chen, B. T. Low
      Pages 145-159
    5. Andrew G. Bronevich, Alexander N. Karkishchenko
      Pages 160-172
    6. Andrew G. Bronevich, Alexander N. Karkishchenko
      Pages 173-195
  5. Statistics and Fuzzy Data Analysis

    1. Front Matter
      Pages 197-197
    2. Reinhard Viertl
      Pages 199-212
    3. Przemysław Grzegorzewski
      Pages 213-225
    4. Hideo Tanaka, Peijun Guo
      Pages 239-254
    5. Antonia Salas, Norberto Corral, Carlo Bertoluzza
      Pages 255-281
    6. Wolfgang Näther, Ralf Körner
      Pages 282-305
  6. Back Matter
    Pages 307-309

About this book

Introduction

The contributions in this book connect Probability Theory/Statistics and Fuzzy Set Theory in different ways. Some of these connections are either philosophical or theoretical in nature, but most of them state models and methods to work with fuzzy data (or fuzzy perception) when dealing with random experiments. In this way, several probabilistic studies are developed, as well as techniques and criteria to get descriptive and inferential statistical conclusions from fuzzy data. On the other hand, some studies have been devoted to fuzzy measures and their relationship with measures in Probability Theory.

Keywords

Extension Probability distribution Probability theory Random variable Variance artificial intelligence calculus data analysis fuzziness fuzzy set linear regression modeling perception set theory statistics

Editors and affiliations

  • Carlo Bertoluzza
    • 1
  • María-Ángeles Gil
    • 2
  • Dan A. Ralescu
    • 3
  1. 1.Dipartimento di Informatica e SistemisticaUniversità degli Studi di PaviaPaviaItaly
  2. 2.Departamento de Estadística e I.O. y D.M.Universidad de OviedoOviedoSpain
  3. 3.Department of Mathematical SciencesUniversity of CincinnatiCincinnatiUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7908-1800-0
  • Copyright Information Physica-Verlag Heidelberg 2002
  • Publisher Name Physica, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-7908-2501-5
  • Online ISBN 978-3-7908-1800-0
  • Series Print ISSN 1434-9922
  • Series Online ISSN 1860-0808
  • Buy this book on publisher's site