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Part of the book series: Studies in Computational Intelligence ((SCI,volume 959))

Abstract

Penalty-based aggregation functions cover the class of idempotent aggregation functions. Weighted penalty-based aggregation functions considered so far allow to consider different importances of single coordinate inputs, all of them having the same attitude. We introduce a normed penalty function and open penalty-based construction of aggregation functions to consider groups of input coordinates (criteria scores) both with possibly different weights (importances) and attitudes.

This work was supported by the Slovak Research and Development Agency under the contract no. APVV-17-0066 and grant VEGA 1/0468/20.

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References

  1. Beliakov, G., Pradera, A., Calvo, T.: Aggregation Functions: A Guide for Practitioners. Springer, Berlin (2007)

    MATH  Google Scholar 

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

    Book  Google Scholar 

  3. Bustince, H., Beliakov, G., Dimuro, G.P., Bedregal, B., Mesiar, R.: On the definition of penalty functions in aggregations. Fuzzy Sets Syst. 323, 1–18 (2017)

    Article  MathSciNet  Google Scholar 

  4. Calvo, T., Beliakov, G.: Aggregation functions based on penalties. Fuzzy Sets Syst. 161(10), 1420–1436 (2010)

    Article  MathSciNet  Google Scholar 

  5. Calvo, T., Mesiar, R., Yager, R.R.: Quantitative weights and aggregation. IEEE Trans. Fuzzy Syst. 12(1), 62–69 (2004)

    Article  Google Scholar 

  6. Yager, R.R.: Toward a general theory of information aggregation. Inf. Sci. 68(3), 191–206 (1993)

    Article  MathSciNet  Google Scholar 

  7. Yager, R.R., Rybalov, A.: Understanding the median as a fusion operator. Int. J. Gen. Syst. 26(3), 239–263 (1997)

    Article  MathSciNet  Google Scholar 

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Correspondence to Andrea Stupňanová .

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Stupňanová, A. (2022). Weighted Penalty-Based Aggregation. In: Harmati, I.Á., Kóczy, L.T., Medina, J., Ramírez-Poussa, E. (eds) Computational Intelligence and Mathematics for Tackling Complex Problems 3. Studies in Computational Intelligence, vol 959. Springer, Cham. https://doi.org/10.1007/978-3-030-74970-5_7

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