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  • Conference proceedings
  • © 2008

Soft Methods for Handling Variability and Imprecision

  • Recent developments in Soft Computing and Statistics
  • Best edited papers of the 4th International Conference on Soft Methods in Probability and Statistics (SMPS’2008)

Part of the book series: Advances in Intelligent and Soft Computing (AINSC, volume 48)

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Table of contents (51 papers)

  1. Front Matter

  2. Foundations

    1. Front Matter

      Pages 33-33
    2. Relating Prototype Theory and Label Semantics

      • Jonathan Lawry, Yongchuan Tang
      Pages 35-42
    3. Fuzzy Probabilities Based on the Likelihood Function

      • Marco E. G. V. Cattaneo
      Pages 43-50
    4. Possibility Measures in Probabilistic Inference

      • Giulianella Coletti, Romano Scozzafava, Barbara Vantaggi
      Pages 51-58
    5. Non-well-Founded Probabilities on Streams

      • Andrew Schumann
      Pages 59-65
    6. Relating Epistemic Irrelevance to Event Trees

      • Sébastien Destercke, Gert de Cooman
      Pages 66-73
  3. Statistical Methods

    1. Front Matter

      Pages 81-81
    2. Statistical Tests

      1. On a Linear Independence Test for Interval-Valued Random Sets
        • Ángela Blanco, Ana Colubi, Norberto Corral, Gil González-Rodríguez
        Pages 111-117
      2. Defuzzification of Fuzzy p-Values
        • Inés Couso, Luciano Sánchez
        Pages 126-132

About this book

Probability theory has been the only well-founded theory of uncertainty for a long time. It was viewed either as a powerful tool for modelling random phenomena, or as a rational approach to the notion of degree of belief. During the last thirty years, in areas centered around decision theory, artificial intelligence and information processing, numerous approaches extending or orthogonal to the existing theory of probability and mathematical statistics have come to the front. The common feature of those attempts is to allow for softer or wider frameworks for taking into account the incompleteness or imprecision of information. Many of these approaches come down to blending interval or fuzzy interval analysis with probabilistic methods.

This book gathers contributions to the 4th International Conference on Soft methods in Probability and Statistics. Its aim is to present recent results illustrating such new trends that enlarge the statistical and uncertainty modeling traditions, towards the handling of incomplete or subjective information. It covers a broad scope ranging from philosophical and mathematical underpinnings of new uncertainty theories, with a stress on their impact in the area of statistics and data analysis, to numerical methods and applications to environmental risk analysis and mechanical engineering. A unique feature of this collection is to establish a dialogue between fuzzy random variables and imprecise probability theories.

Editors and Affiliations

  • Université Paul Sabatier, Toulouse, France

    Didier Dubois, Henri Prade

  • Universidad de Oviedo, Spain

    M. Asunción Lubiano, María Ángeles Gil

  • Polish Academy of Sciences, Warsaw, Poland

    Przemysław Grzegorzewski

  • Polish Academy of Sciences,, Warsaw, Poland

    Olgierd Hryniewicz

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access