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Symmetrization Methods for Aggregation Functions

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Modeling Decisions for Artificial Intelligence (MDAI 2017)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10571))

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Abstract

We introduce and discuss the concept of symmetrization methods for aggregation functions. Several symmetrization methods are exemplified. A particular stress is put on extremal symmetrization methods.

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References

  1. Beliakov, G., Bustince Sola, H., Calvo Sánchez, T.: A Practical Guide to Averaging Functions. Springer, New York (2016)

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  5. Grabisch, M., Marichal, J.L., Mesiar, R., Pap, E.: Aggregation Functions. Cambridge University Press, Cambridge (2009)

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  6. Mesiar, R., Stupňanová, A., Yager, R.R.: Extremal symmetrization of aggregation functions. Ann. Oper. Res. (2017). doi:10.1007/s10479-017-2471-x

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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, Bratislava, Slovak Republic

    Radko Mesiar & Andrea Stupňanová

Authors
  1. Radko Mesiar
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  2. Andrea Stupňanová
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Corresponding author

Correspondence to Andrea Stupňanová .

Editor information

Editors and Affiliations

  1. University of Skövde, Skövde, Sweden

    Vicenç Torra

  2. Toho Gakuen, Kunitachi, Tokyo, Japan

    Yasuo Narukawa

  3. Kyushu Institute of Technology, Iizuka, Fukuoka, Japan

    Aoi Honda

  4. Kyushu Institute of Technology, Kitakyushu-shi, Fukuoka, Japan

    Sozo Inoue

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Mesiar, R., Stupňanová, A. (2017). Symmetrization Methods for Aggregation Functions. In: Torra, V., Narukawa, Y., Honda, A., Inoue, S. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2017. Lecture Notes in Computer Science(), vol 10571. Springer, Cham. https://doi.org/10.1007/978-3-319-67422-3_3

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  • DOI: https://doi.org/10.1007/978-3-319-67422-3_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-67421-6

  • Online ISBN: 978-3-319-67422-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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