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International Conference Series on Soft Methods in Probability and Statistics

SMPS 2018: Uncertainty Modelling in Data Science pp 25–32Cite as

On Missing Membership Degrees: Modelling Non-existence, Ignorance and Inconsistency

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 832))

Abstract

In real-world applications, mathematical models must often deal with values that are missing or undefined. The aim of this paper is to provide a survey on types and reasons for such non-availability. It motivates the need to handle different reasons for missingness in a different, but appropriate way. In particular, non-existence, ignorance, and inconsistency are studied. The paper also presents a novel way of how to compute with different types of missing values at the same time.

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Acknowledgements

Authors acknowledge support by project “LQ1602 IT4Innovations excellence in science” and by GAČR 16-19170S.

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Authors and Affiliations

  1. Institute for Research and Applications of Fuzzy Modeling, Centre of Excellence IT4Innovations, Division University of Ostrava, 30. dubna 22, 701 03, Ostrava, Czech Republic

    Michal Burda, Petra Murinová & Viktor Pavliska

Authors
  1. Michal Burda
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  2. Petra Murinová
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  3. Viktor Pavliska
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Corresponding author

Correspondence to Michal Burda .

Editor information

Editors and Affiliations

  1. CNRS, Heudiasyc, Sorbonne universités, Université de technologie de Compiègne, Compiegne, France

    Sébastien Destercke

  2. CNRS, Heudiasyc, Sorbonne universités, Université de technologie de Compiègne, Compiegne, France

    Thierry Denoeux

  3. Department of Statistics and Operational Research and Mathematics Didactics, University of Oviedo, Oviedo, Asturias, Spain

    María Ángeles Gil

  4. Faculty of Mathematics and Information Science, Warsaw University of Technology, Warsaw, Poland

    Przemyslaw Grzegorzewski

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

    Olgierd Hryniewicz

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Burda, M., Murinová, P., Pavliska, V. (2019). On Missing Membership Degrees: Modelling Non-existence, Ignorance and Inconsistency. In: Destercke, S., Denoeux, T., Gil, M., Grzegorzewski, P., Hryniewicz, O. (eds) Uncertainty Modelling in Data Science. SMPS 2018. Advances in Intelligent Systems and Computing, vol 832. Springer, Cham. https://doi.org/10.1007/978-3-319-97547-4_4

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