6533b7d8fe1ef96bd1269b7d
RESEARCH PRODUCT
Constrained consistency enforcement in AHP
Julio BenítezAntonella CertaSilvia CarpitellaSilvia CarpitellaJoaquín Izquierdosubject
Balance (metaphysics)0209 industrial biotechnologyExpert judgmentConsensusOperations researchRiesz representation theoremProcess (engineering)Computer scienceAHPApplied MathematicsAnalytic hierarchy process020206 networking & telecommunications02 engineering and technologyComputational Mathematics020901 industrial engineering & automationConsistency (negotiation)LinearizationSettore ING-IND/17 - Impianti Industriali MeccaniciPath (graph theory)0202 electrical engineering electronic engineering information engineeringConsistencyEnforcementMATEMATICA APLICADADecision-makingdescription
Abstract Decision-making in the presence of intangible elements must be based on a robust, but subtle, balance between expert know-how and judgment consistency when eliciting that know-how. This balance is frequently achieved as a trade-off reached after a feedback process softens the tension frequently found between one force steadily pulling towards (full) consistency, and another force driven by expert feeling and opinion. The linearization method, developed by the authors in the framework of the analytic hierarchy process, is a pull-towards-consistency mechanism that shows the path from an inconsistent body of judgment elicited from an expert towards consistency, by suggesting optimal changes to the expert opinions. However, experts may be reluctant to alter some of their issued opinions, and may wish to impose constraints on the adjustments suggested by the consistency-enforcement mechanism. In this paper, using the classical Riesz representation theorem, the linearization method is accommodated to consider various types of constraints imposed by experts during the abovementioned feedback process.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-09-01 |