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  • Conference proceedings
  • © 2019

Uncertainty Modelling in Data Science

  • Presents the latest research on data analysis and soft computing
  • Includes outcomes of the 9th International Conference on Soft Methods in Probability and Statistics (SMPS 2018) held in Compiègne, France on September 17–21, 2018
  • Provides a comprehensive overview of current research into the fusion of soft computing methods with probability and statistics

Conference proceedings info: SMPS 2018.

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Table of contents (29 papers)

  1. Front Matter

    Pages i-xi
  2. Descriptive Comparison of the Rating Scales Through Different Scale Estimates: Simulation-Based Analysis

    • Irene Arellano, Beatriz Sinova, Sara de la Rosa de Sáa, María Asunción Lubiano, María Ángeles Gil
    Pages 9-16
  3. On Missing Membership Degrees: Modelling Non-existence, Ignorance and Inconsistency

    • Michal Burda, Petra Murinová, Viktor Pavliska
    Pages 25-32
  4. Characterization of Conditional Submodular Capacities: Coherence and Extension

    • Giulianella Coletti, Davide Petturiti, Barbara Vantaggi
    Pages 33-41
  5. Some Partial Order Relations on a Set of Random Variables

    • Bernard De Baets, Hans De Meyer
    Pages 42-45
  6. A Desirability-Based Axiomatisation for Coherent Choice Functions

    • Jasper De Bock, Gert de Cooman
    Pages 46-53
  7. Density Estimation with Imprecise Kernels: Application to Classification

    • Guillaume Dendievel, Sebastien Destercke, Pierre Wachalski
    Pages 59-67
  8. Z-numbers as Generalized Probability Boxes

    • Didier Dubois, Henri Prade
    Pages 68-77
  9. Robust Fuzzy Relational Clustering of Non-linear Data

    • Maria Brigida Ferraro, Paolo Giordani
    Pages 87-90
  10. Measures of Dispersion for Interval Data

    • Przemyslaw Grzegorzewski
    Pages 91-98
  11. Monitoring of Time Series Using Fuzzy Weighted Prediction Models

    • Olgierd Hryniewicz, Katarzyna Kaczmarek-Majer
    Pages 107-114
  12. Control Charts Designed Using Model Averaging Approach for Phase Change Detection in Bipolar Disorder

    • Katarzyna Kaczmarek-Majer, Olgierd Hryniewicz, Karol R. Opara, Weronika Radziszewska, Anna Olwert, Jan W. Owsiński et al.
    Pages 115-123
  13. Imprecise Probability Inference on Masked Multicomponent System

    • Daniel Krpelik, Frank P. A. Coolen, Louis J. M. Aslett
    Pages 133-140
  14. Regression Ensemble with Linguistic Descriptions

    • Jiří Kupka, Pavel Rusnok
    Pages 141-148

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  1. Uncertainty Modelling in Data Science

About this book

This book features 29 peer-reviewed papers presented at the 9th International Conference on Soft Methods in Probability and Statistics (SMPS 2018), which was held in conjunction with the 5th International Conference on Belief Functions (BELIEF 2018) in Compiègne, France on September 17–21, 2018. It includes foundational, methodological and applied contributions on topics as varied as imprecise data handling, linguistic summaries, model coherence, imprecise Markov chains, and robust optimisation. These proceedings were produced using EasyChair.

Over recent decades, interest in extensions and alternatives to probability and statistics has increased significantly in diverse areas, including decision-making, data mining and machine learning, and optimisation. This interest stems from the need to enrich existing models, in order to include different facets of uncertainty, like ignorance, vagueness, randomness, conflict or imprecision. Frameworks such as rough sets, fuzzy sets, fuzzy random variables, random sets, belief functions, possibility theory, imprecise probabilities, lower previsions, and desirable gambles all share this goal, but have emerged from different needs.

The advances, results and tools presented in this book are important in the ubiquitous and fast-growing fields of data science, machine learning and artificial intelligence. Indeed, an important aspect of some of the learned predictive models is the trust placed in them.

Modelling the uncertainty associated with the data and the models carefully and with principled methods is one of the means of increasing this trust, as the model will then be able to distinguish between reliable and less reliable predictions. In addition, extensions such as fuzzy sets can be explicitly designed to provide interpretable predictive models, facilitating user interaction and increasing trust.

Editors and Affiliations

  • CNRS, Heudiasyc, Sorbonne universités, Université de technologie de Compiègne, Compiegne, France

    Sébastien Destercke, Thierry Denoeux

  • Department of Statistics and Operational Research and Mathematics Didactics, University of Oviedo, Oviedo, Spain

    María Ángeles Gil

  • Faculty of Mathematics and Information Science, Warsaw University of Technology, Warsaw, Poland

    Przemyslaw Grzegorzewski

  • Department of Stochastic Methods, Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Olgierd Hryniewicz

About the editors

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and 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