Aggregation Functions Based on Deviations (original) (raw)

Abstract

After recalling penalty and deviation based constructions of idempotent aggregation functions, we introduce the concept of a general deviation function and related construction of aggregation functions. Our approach is exemplified in some examples, illustrating the ability of our method to model possibly different aggregation attitudes in different coordinates of the aggregated score vectors.

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Acknowledgments

The support of the grants APVV-14-0013 and VEGA 1/0682/16 is kindly announced.

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Authors and Affiliations

  1. Faculty of Civil Engineering, Slovak University of Technology in Bratislava, Radlinského 11, 810 05, Bratislava, Slovak Republic
    Marián Decký, Radko Mesiar & Andrea Stupňanová

Authors

  1. Marián Decký
  2. Radko Mesiar
  3. Andrea Stupňanová

Corresponding author

Correspondence toAndrea Stupňanová .

Editor information

Editors and Affiliations

  1. Universidad de Cádiz, Cádiz, Cadiz, Spain
    Jesús Medina
  2. Universidad de Málaga, Málaga, Málaga, Spain
    Manuel Ojeda-Aciego
  3. Universidad de Granada, Granada, Spain
    José Luis Verdegay
  4. Universidad de Granada, Granada, Spain
    David A. Pelta
  5. Universidad de Málaga, Málaga, Málaga, Spain
    Inma P. Cabrera
  6. LIP6, Université Pierre et Marie Curie, CNRS, Paris, France
    Bernadette Bouchon-Meunier
  7. Iona College, New Rochelle, New York, USA
    Ronald R. Yager

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Decký, M., Mesiar, R., Stupňanová, A. (2018). Aggregation Functions Based on Deviations. In: Medina, J., et al. Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations. IPMU 2018. Communications in Computer and Information Science, vol 853. Springer, Cham. https://doi.org/10.1007/978-3-319-91473-2\_13

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