Using the R* Criterion to Selected Optimization Problems Under Uncertainty

Romain Guillaume (), Adam Kasperski (), Szymon Wróbel () and Paweł Zieliński ()
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Romain Guillaume: Université de Toulouse-IRIT
Adam Kasperski: Wrocław University of Science and Technology
Szymon Wróbel: Wrocław University of Science and Technology
Paweł Zieliński: Wrocław University of Science and Technology

A chapter in Operations Research Proceedings 2024, 2025, pp 377-382 from Springer

Abstract: Abstract In robust optimization, the impact of uncertainty is typically modeled using the min-max approach, where the goal is to optimize the solution cost under a worst-case scenario. This approach does not take into account good scenarios that can occur and may lead to very conservative solutions. The R* uninorm is an aggregation operator that selects the minimal value when all arguments are below a selected threshold and the maximal value otherwise. Its axiomatic characterization, applications to decision-making, and comparison to the traditional Hurwicz criterion were described by Fargier and Guillaume in 2020. The goal of this paper is to present an application of the R* approach to selected optimization problems under uncertainty.

Keywords: robust optimization; interval uncertainty; combinatorial optimization (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/978-3-031-92575-7_54

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