简介:Theanalytichierarchyprocess(AHP)isusedwidelyforanalyzingdecisionsmadeinvariousreal-worldapplications.Itsbasicideaistoconstructahierarchyofconceptsencounteredinagivendecisionproblemandtochoosethebestalternativeaccordingtopairwisecomparisonmatricesgivenbythedecisionmaker.Undertheassumptionoffullyrationaleconomics,areasonabledecisionshouldbeconsistent.Itbecomesanimportantissueonhowtoanalyzeandensuretheconsistencyofcomparisonmatricestogetherwiththejudgmentsofthedecisionmaker.Themainobjectivesofthepresentpaperarethreefold.First,wereviewthebasicideaandmethodsusedtodefinetheconsistencyandthetransitivityofmultiplicativereciprocalmatrices,additivereciprocalmatricesandcomparisonmatriceswithfuzzyintervalandtriangularfuzzynumbers.TheexistingcontroversybehindtheapplicationsoffuzzysettheorytotheAHPintheliteratureispresented.Second,theconsistencyofthecollectivecomparisonmatricesingroupdecisionmakingbasedonAHPandfuzzyAHPisfurtheranalyzed.WepointoutthattheweakconsistencyofpreferencerelationswithfuzzynumbersinfuzzyAHPandgroupdecisionmakingshouldbeinvestigatedcomprehensively.Third,undertheconsiderationofthevaguenessintheprocessofevaluatingthejudgements,anewconceptoffuzzyconsistencyofcomparisonmatricesintheAHPisgiven.
简介:SeveralexamplesthatservetovalidatetheAHP/ANPwithmatriceshierarchiesandnetworksaregiveninthispaper.Theyarethenfollowedbyadiscussionoftherealnumbersandhowtheyaregeneratedwithouttheneedforanabsolutezero,andhowtheydefineanabsolutescaleofmeasurementthatalsodoesnotneedanabsolutezero.IntheAHP/ANPthemeasurementofanalternativedependsonwhatotheralternativesitiscomparedwith.Theresultisthatrankcanchangeifalternativesareaddedordeleted,somethingthatdoesnotoccurinone-at-a-timeratingofthealternativesbycomparingthemwithanideal.Anexampleisprovidedtoshowthatthisisnaturalandneednotinvolvenewcriteriaorchangeinjudgments.AbriefdiscussionofUtilityTheory,theothermulti-criteriatheory,whichusesintervalscalestomeasureintangiblesandsomeofitsproblemsandparadoxes,isgiven.ThereferencesattheendincludemostofthepapersthatareadversetotheAHl'withbriefcommentsaboutseveralofthemgiveninthepaper.
简介:OnthebasisofanalyzingtheshortageofscalemeasureofthecurrentAHP,andfollowingbaseprincipleoftwocomparison:principleofreward-punishmentandprincipleofconversion,translationfunctionandconciliationcoefficienthavebeenstructured.Thisarticleadvancesanewmeasurewhichstructuringtranslationfunctionandconciliationcoefficient.TheresultofapplicationofimprovedAHPonthesynthesisevaluationofagriculturalmechanizationissatisfactory.
简介:摘 要:通过运用层次分析法(AHP)建立了企业安全生产预警评价指标,再结合模糊综合评价法对企业的安全生产状况进行评价预测,构建了风险预测模型。在模型运用过程中进一步将评价结果量化,有助于企业直观的了解当前安全生产状态,完善安全管理措施。