Ordinal aggregation and quantiles

CP Chambers - Journal of Economic Theory, 2007 - Elsevier
… any such aggregation operator can also be characterized as a quantile, but not necessarily
as a quantile with respect to a probability measure. An aggregation operator satisfies ordinal

Aggregation of ordinal information

RR Yager - Fuzzy optimization and decision making, 2007 - Springer
… We denote this as α quantile aggregate. We observe that this operator is such that by specifying
a value α we are able define the weights for any argument cardinality. To see that this is …

On weighted P‐quantile aggregation

J Hao, JH Wang - International Journal of Intelligent Systems, 2008 - Wiley Online Library
… We consider the problem of aggregating ordinal information with quantitative or qualitative
quantile operations. For a bag 〈x1,x2,...,xn〉 in real or in (finite) ordinal scales, the quantile

An ordinal approach to risk measurement

M Cardin, M Couceiro - Mathematical and Statistical Methods for Actuarial …, 2012 - Springer
… models and measures of risk from an ordinal point of view, and which … and of quantile-based
risk measure within this ordinal setting… interested in certain aggregation functionals, namely, …

A quantile approach to integration with respect to non-additive measures

M Cardin - Modeling Decisions for Artificial Intelligence: 9th …, 2012 - Springer
… and we study a class of aggregation functionals that generalizes Sugeno integrals to the …
quantile in a ordinal framework and and we consider an axiomatic representation of quantiles

Measure and integral with purely ordinal scales

D Denneberg, M Grabisch - Journal of Mathematical Psychology, 2004 - Elsevier
… We develop a purely ordinal model for aggregation functionals for lattice-valued functions,
comprising as special cases quantiles, the Ky Fan metric and the Sugeno integral. For …

Policy Aggregation

PA Alamdari, S Ebadian, AD Procaccia - arXiv preprint arXiv:2411.03651, 2024 - arxiv.org
aggregation methods, we look to social choice theory, which typically deals with the aggregation
of ordinal … We show that a (1/e)-quantile fair policy always exist and that this ratio is tight; …

[PS][PS] Functions and measures with linear ordinal scales,(a-) symmetric Sugeno integral and ordinal Ky Fan distance.

D Denneberg, M Grabisch - ISIPTA, 2001 - 150.214.191.180
… We develop a purely ordinal model for aggregation operators for lattice valued functions,
comprising as special cases quantiles, Ky Fan metrics and Sugeno integrals. For modelling …

Robust ordinal regression for decision under risk and uncertainty

S Corrente, S Greco, B Matarazzo… - Journal of Business …, 2016 - Springer
… In this sense, a set of quantiles can be interpreted as a … 1956), we suggest a number of
quantiles between 5 and 9 because, as … In this paper, we shall deal with the first two aggregation

Static and dynamic quantile preferences

L de Castro, AF Galvao - Economic Theory, 2022 - Springer
… Finally, Betting Consistency allows writing the aggregation operator as a quantile with … It
requires that the preference is ordinal, that is, the only importance for the ranking of any act is the …