 Multiple‐attribute decision making with partial information: The comparative hypervolume criterionJohnnie R. Charnetski and Richard M. Soland Naval Research Logistics Quarterly, 1978, vol. 25, issue 2, 279-288 Abstract: A new approach is presented for analyzing multiple‐attribute decision problems in which the set of actions is finite and the utility function is additive. The problem can be resolved if the decision makers (or group of decision makers) specifies a set of nonnegative weights for the various attributes or criteria, but we here assume that the decision maker(s) cannot provide a numerical value for each such weight. Ordinal information about these weights is therefore obtained from the decision maker(s), and this information is translated into a set of linear constraints which restrict the values of the weights. These constraints are then used to construct a polytope W of feasible weight vectors, and the subsets Hi (polytopes) of W over which each action ai has the greatest utility are determined. With the Comparative Hypervolume Criterion we calculate for each action the ratio of the hypervolume of Hi to the hypervolume of W and suggest the choice of an action with the largest such ratio. Justification of this choice criterion is given, and a computational method for accurately approximating the hypervolume ratios is described. A simple example is provided to evaluate the efficiency of a computer code developed to implement the method. Date: 1978 Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:wly:navlog:v:25:y:1978:i:2:p:279-288 Access Statistics for this article More articles in Naval Research Logistics Quarterly from John Wiley & Sons |
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