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基于偏序集的PROMETHEE方法优化研究.docx

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基于偏序集的PROMETHEE方法优化研究 1.Introduction ThePROMETHEEmethodisamulti-criteriadecision-makingtooldevelopedbyBransandVinckein1985.Themethodhasbeenwidelyusedinvariousfieldssuchasenvironmentalmanagement,transportationplanning,andbusinessmanagementduetoitsadvantagesofbeingeasytouseandflexible.Themethodranksalternativesbasedonapreferencefunctionthatusespairwisecomparisonsbetweenthealternatives.However,theoriginalPROMETHEEmethodcannothandleuncertainorimprecisecriteriavaluesandlacksasystematicwayofhandlingthecriteriaweights.Toaddresstheselimitations,researchershaveproposedseveralmodificationstothePROMETHEEmethod.Onesuchmodificationistheuseofpartialordersorpreferencerelationstorepresentthecriteriaandalternatives.ThispaperexplorestheuseofpartialordersinthePROMETHEEmethodtoimproveitsperformance. 2.LiteratureReview SeveralstudieshaveproposedPROMETHEEvariantsbasedonpartialordersorpreferencerelations.Forinstance,Figueiraetal.(2005)proposedthePROMETHEEOutrankingMulticriteriaAnalysis(POMA)methodthatusedpartialorderstorepresentthecriteriaandalternatives.Themethodrequiredthedecisionmakertoprovidepairwisecomparisonsbetweenthealternativesbasedonthecriteria'sordering.ThePOMAmethodenabledthedecisionmakertoconsiderimpreciseanduncertaininformationaboutthecriteriavaluesandtheweights. Zhuetal.(2013)proposedaPROMETHEEmethodbasedonthestochasticpartialorderapproach.Themethodusedastochasticdominancetesttorankthealternativesandenabledthedecisionmakertohandleuncertaincriteriavaluesandweights.ThestochasticapproachextendedthePROMETHEEmethodbyallowingthedecisionmakertospecifytheprobabilitydistributionofthecriteriavalues. 3.Methodology TheproposedmethodextendstheoriginalPROMETHEEmethodbyrepresentingthecriteriaandalternativesaspartialordersorpreferencerelations.Apartialorderisabinaryrelationthatisreflexive,transitive,andantisymmetric.Thepartialorderrepresentsthepreferencesamongthecriteriaorthealternatives,wherethemorepreferredcriteriaoralternativesarerankedhigher.Thepartialordercancontainindifferences,which