Characterization, robustness, and aggregation of signed Choquet integrals

R Wang, Y Wei, GE Willmot - Mathematics of Operations …, 2020 - pubsonline.informs.org
… There has been an extensive literature on a subclass of signed Choquet integrals in
which h is increasing and h(1) 1; we simply call this class of functionals increasing …

Robust optimization of the Choquet integral

M Timonin - Fuzzy sets and systems, 2013 - Elsevier
… For the general case, we propose a method based on the properties of the Choquet integral,
which combines branch-and-bound and discretization techniques. We can rewrite the inner …

On the robustness of the sign of nonadditivity index in a Choquet integral model

PAK Kaldjob, B Mayag, D Bouyssou - International Journal of …, 2023 - World Scientific
… More details in the literature on axiomatic properties of all … After having modeled the
preferences by a Choquet integral … 17, we showed that, in practice, when we elicit a capacity on

Choquet integrals with respect to the credibility measure

WS Du - Journal of Intelligent & Fuzzy Systems, 2020 - journals.sagepub.com
… to propose the Choquet integral of measurable functions on the … In this section, the Choquet
integral on the credibility space is … The Choquet integral of f on A with respect to Cr, which is …

A short presentation of Choquet integral

J Yan - Recent developments in stochastic dynamics and …, 2009 - World Scientific
… In this section, we define the Choquet integral of functions wrt a monotone … On the other
hand, for any upper-continuous capacity µ , the functional I defined on F by the Choquet integral

Non-additive robust ordinal regression: A multiple criteria decision model based on the Choquet integral

S Angilella, S Greco, B Matarazzo - European Journal of Operational …, 2010 - Elsevier
robust ordinal regression on a set of alternatives A, whose utility is evaluated in terms of the
Choquet integralon pairs of alternatives from A ′ , and to supply pairwise comparisons …

Robust integrals

S Greco, F Rindone - Fuzzy Sets and Systems, 2013 - Elsevier
robust integrals collapse into the previous definitions. We also provide an axiomatic
characterization of the robust Choquet integral… Another question we face is that of order on the set …

Decomposition-integral: unifying Choquet and the concave integrals

Y Even, E Lehrer - Economic Theory, 2014 - Springer
Choquet integral can also be described in these terms. While the concave integral does not
impose any restriction on … We recall first the traditional definition of the Choquet integral. Let \(…

Choquet integrals in potential theory

DR Adams - Publicacions Matematiques, 1998 - JSTOR
… What we wish to concentrate on here is the use of the Choquet spaces in characterizing the
stability of solutions to the p-harmonic obstacle problem under a change in the obstacle. This …

Quadrature-inspired generalized Choquet integral in an application to classification problems

P Karczmarek, M Dolecki, P Powroznik… - IEEE …, 2023 - ieeexplore.ieee.org
… is based on enhancements to the Choquet integral. These … the generalization of the Choquet
integral, our approach requires … Herrera-Viedma, ‘‘Nonadditive robust ordinal regression: A …