In earlier work we have developed methods for analysing decision problems based on multi-attribute utility hierarchies, structured by mutual utility independence, which are not precisely specified due to unwillingness or inability of an individual or group to agree on precise values for the trade-offs between the various attributes. Our analysis is based on whatever limited collection of preferences we may assert between attribute collections. In this paper we show how to assess the robustness of our selected decision using the properties of boundary linear utility.
Keywords. Robust decisions, imprecise utilities, utility hierarchies, mutual utility independence, boundary linear utility, sensitivity analysis.
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Authors addresses:
Malcolm Farrow
Newcastle University
Michael Goldstein
Department of Mathematical Sciences,
Durham University,
Science Laboratories,
South Road,
Durham.
DH1 3LE
UK
E-mail addresses:
| Malcolm Farrow | malcolm.farrow@newcastle.ac.uk |
| Michael Goldstein | michael.goldstein@durham.ac.uk |