Distributional utility preference robust optimization models in multi-attribute decision making

J Hu, D Zhang, H Xu, S Zhang - Mathematical Programming, 2024 - Springer
Utility preference robust optimization (PRO) has recently been proposed to deal with optimal
decision-making problems where the decision maker's (DM's) preference over gains and …

Statistical robustness in utility preference robust optimization models

S Guo, H Xu - Mathematical Programming, 2021 - Springer
Utility preference robust optimization (PRO) concerns decision making problems where
information on decision maker's utility preference is incomplete and has to be elicited …

Robust spectral risk optimization when information on risk spectrum is incomplete

W Wang, H Xu - SIAM Journal on Optimization, 2020 - SIAM
A spectral risk measure (SRM) is a weighted average of value at risk where the weighting
function (also known as risk spectrum or distortion function) characterizes a decision maker's …

Utility preference robust optimization with moment-type information structure

S Guo, H Xu, S Zhang - Operations Research, 2024 - pubsonline.informs.org
Utility preference robust optimization (PRO) models have recently been proposed to deal
with decision-making problems where the decision-maker's true utility function is unknown …

Bi-attribute utility preference robust optimization: A continuous piecewise linear approximation approach

Q Wu, W Wang, S Zhang, H Xu - European Journal of Operational …, 2025 - Elsevier
In this paper, we consider a bi-attribute decision making problem where the decision
maker's (DM's) objective is to maximize the expected utility of outcomes with two attributes …

Multistage utility preference robust optimization

J Liu, Z Chen, H Xu - arxiv preprint arxiv:2109.04789, 2021 - arxiv.org
In this paper, we consider a multistage expected utility maximization problem where the
decision maker's utility function at each stage depends on historical data and the information …

Distributionally preference robust optimization in multi-attribute decision making

J Hu, D Zhang, H Xu, S Zhang - arxiv preprint arxiv:2206.04491, 2022 - arxiv.org
Utility preference robust optimization (PRO) has recently been proposed to deal with optimal
decision making problems where the decision maker's (DM) preference over gains and …

Interval-based stochastic dominance: theoretical framework and application to portfolio choices

J Liu, Z Chen, G Consigli - Annals of Operations Research, 2021 - Springer
We introduce a new stochastic dominance relationship, the interval-based stochastic
dominance (ISD). By choosing different reference points, we show that ISD may span a …

Preference robust modified optimized certainty equivalent

Q Wu, H Xu - SIAM Journal on Optimization, 2022 - SIAM
Ben-Tal and Teboulle [Management Sci., 32 (1986), pp. 1445--1466] introduce the concept
of optimized certainty equivalent (OCE) of an uncertain outcome as the maximum present …

A Robo-Advisor System: expected utility modeling via pairwise comparisons

B Chen, J Liu - arxiv preprint arxiv:2410.12570, 2024 - arxiv.org
We introduce a robo-advisor system that recommends customized investment portfolios to
users using an expected utility model elicited from pairwise comparison questionnaires. The …