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自动化学报 2005
区间数判矩阵权重求解的集成模型研究, PP. 434-439 Keywords: Analyticalhierarchyprocess,intervalnumbercomparisonmatrix,weightsfeasibleregion,integrationweightsmodel,geneticalgorithm Abstract: ？Consistencyandtheweightsestimationmodeloftheintervalnumbercomparisonmatrix(INCM)intheanalyticalhierarchyprocessisstudiedunderuncertaintydecision-makingcase.Basedontheweightsfeasibleregion,thelocalconsistencydefinitionandthelocalsatisfactoryconsistencydefinitionaregiven.Then,acomputationalmodelsetuptotestwhethertheINCMhasthelocalsatisfactoryconsistencyornot.Moreover,theconsistencydegreebasedontherandomcrispcomparisonmatrixisdefinedasaneffectiveindextotesttheconsistency.Next,theupperrangemodel,thelowerrangemodel,andthepossiblevaluemodelareputforwardwhichcansolvetheproblemthatsomeexistingapproachesdonotconsidertheconsistencyanditseffectontheweights.Accordingtothepropertyofthesemodels,ageneticalgorithmisdeveloped.
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