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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Beliakov, G., Pradera, A., Calvo, T.: Aggregation Functions: A Guide for Practitioners. Springer, Berlin (2007)
Beliakov, G., Bustince Sola, H., Calvo Sánchez, T.: A Practical Guide to Averaging Functions. Springer, Berlin (2016)
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)
Calvo, T., Beliakov, G.: Aggregation functions based on penalties. Fuzzy Sets Syst. 161(10), 1420–1436 (2010)
Calvo, T., Mesiar, R., Yager, R.R.: Quantitative weights and aggregation. IEEE Trans. Fuzzy Syst. 12(1), 62–69 (2004)
Yager, R.R.: Toward a general theory of information aggregation. Inf. Sci. 68(3), 191–206 (1993)
Yager, R.R., Rybalov, A.: Understanding the median as a fusion operator. Int. J. Gen. Syst. 26(3), 239–263 (1997)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-030-74970-5_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-74969-9
Online ISBN: 978-3-030-74970-5
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)