RT info:eu-repo/semantics/article
T1 An analysis of Winsorized weighted means
A1 Llamazares Rodríguez, Bonifacio
K1 Winsorized weighted means
K1 Winsorized means
K1 Choquet integral
K1 Shapley values
K1 SUOWA operators
AB The Winsorized mean is a well-known robust estimator of the population mean. It can also be seen as a symmetric aggregation function (in fact, it is an ordered weighted averaging operator), which means that the information sources (for instance, criteria or experts’ opinions) have the same importance. However, in many practical applications (for instance, in many multiattribute decision making problems) it is necessary to consider that the information sources have different importance. For this reason, in this paper we propose a natural generalization of the Winsorized means so that the sources of information can be weighted differently. The new functions, which we will call Winsorized weighted means, are a specific case of the Choquet integral and they are analyzed through several indices for which we give closed-form expressions: the orness degree, k-conjunctiveness and k-disjunctiveness indices, veto and favor indices, Shapley values and interaction indices. We also provide a closed-form expression for the Möbius transform and we show how we can aggregate data so that each information source has the desired weighting and outliers have no influence in the aggregated value.
PB Springer
SN 0926-2644
YR 2019
FD 2019
LK http://uvadoc.uva.es/handle/10324/37937
UL http://uvadoc.uva.es/handle/10324/37937
LA eng
NO Group Decision and Negotiation, 2019, vol. 28, n. 5, 907-933.
NO Producción Científica
DS UVaDOC
RD 24-nov-2024