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Easy and optimal queries to reduce set uncertainty

N. Ben Abdallah, S. Destercke and M. Sallak

European Journal of Operational Research, 2017, vol. 256, issue 2, 592-604

Abstract: In this paper, we address the problem of optimally querying a single expert to reduce set (interval) uncertainty. We propose optimal querying strategies for two particular query formats (local bound and pairwise comparisons) based on two main selection criteria (the minimax and the Bayesian rules). We study the computational aspects of the optimal solution in the general case and for the specific functions of practical interest (monotonic and multi-linear). The use of the proposed approach is illustrated through numerical simulations on a common estimation problem in reliability analysis.

Keywords: Uncertainty modeling; Optimal query; Minimax decision strategy; Pairwise comparisons; Local bound queries (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:256:y:2017:i:2:p:592-604

DOI: 10.1016/j.ejor.2016.06.038

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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