Inconsistency and non-additive Choquet integration in the Analytic Hierarchy Process
AbstractWe propose to extend the aggregation scheme of Saaty's AHP, from the standard weighted averaging to the more general Choquet integration. In our model, a measure of inconsistency between criteria is derived from the main pairwise comparison matrix and it is used to construct a non-additive capacity, whose associated Choquet integral reduces to the standard weighted mean in the consistency case. In the general inconsistency case, however, the new aggregation scheme based on Choquet integration tends to attenuate (resp. emphasize) the priority values of the criteria with higher (resp. lower) average inconsistency with the remaining criteria.
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Bibliographic InfoPaper provided by Department of Computer and Management Sciences, University of Trento, Italy in its series DISA Working Papers with number 2011/06.
Length: 32 pages
Date of creation: Jun 2011
Date of revision: 29 Jul 2011
Postal: DISA Università degli Studi di Trento via Inama, 5 I-38122 Trento TN Italy
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-10-15 (All new papers)
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