Comparing the aggregation methods in the analytic hierarchy process when uniform distribution

Part of : WSEAS transactions on business and economics ; Vol.5, No.3, 2008, pages 82-87

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Pages:
82-87
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Abstract:
The Analytic Hierarchy Process (AHP) is a popular methodology for group decision making. Individualjudgments can be aggregated in several ways, with the most effective approach being the aggregation of individualjudgments (AIJ) and Individual priorities (AIP). When the judgments are aggregated, regardless of whether AIJ or AIPare used, arithmetic and geometric means are selected by decision makers. Some articles have discussed these twomethods and made relevant suggestions. But when they discuses the issue of these, the distribution from judges’opinion were not considering. This study performed simulation to generate the weights of the judgers, assuming thatthe opinion are distributed as Uniform distribution and then generated AHP weights using arithmetic and geometricmeans. Following performing statistical testing for the relative mean square errors between the parameter and estimatorbased on simulation, the results demonstrated no significant difference. Finally, based on the results of this study, weconclude the following: (1) if number of judges is not large both then both methods are applicable; (2) if number ofjudges is large then the geometric mean cannot be obtained, and the arithmetic mean is applicable; and (3) when theopinions of judges coincide, the arithmetic mean is applicable.
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Subject (LC):
Keywords:
analytic hierarchy process, aggregating individual judgments, aggregating individual priorities, arithmetic mean, geometric mean
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