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On the extended set of weights of the OWA functions
International Journal of General Systems ( IF 2 ) Pub Date : 2020-04-09 , DOI: 10.1080/03081079.2020.1748882
Gleb Beliakov 1 , Jana Špirková 2 , Tomasa Calvo 3
Affiliation  

ABSTRACT The paper offers an extension and generalization of the definitions of the weighted arithmetic mean WAM, the ordered weighted averaging function OWA and the discrete Choquet integral using not only positive but also negative weights. Negative weights are important in various contexts, including statistics and robust aggregation, and they directly affect the monotonicity of the mentioned functions. The paper offers insights into the extended WAM, OWA and Choquet integral-based averaging functions with respect to their directional monotonicity, and establish the systems of linear inequalities which define the cone of monotonicity of these functions.

中文翻译:

关于 OWA 函数权重的扩展集

摘要 本文对加权算术平均 WAM、有序加权平均函数 OWA 和离散 Choquet 积分的定义进行了扩展和概括,不仅使用正权重,还使用负权重。负权重在各种上下文中都很重要,包括统计和稳健聚合,它们直接影响上述函数的单调性。该论文提供了对基于扩展 WAM、OWA 和 Choquet 积分的平均函数的方向单调性的见解,并建立了定义这些函数单调锥的线性不等式系统。
更新日期:2020-04-09
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