简介:Theanalytichierarchyprocess(AHP)isusedwidelyforanalyzingdecisionsmadeinvariousreal-worldapplications.Itsbasicideaistoconstructahierarchyofconceptsencounteredinagivendecisionproblemandtochoosethebestalternativeaccordingtopairwisecomparisonmatricesgivenbythedecisionmaker.Undertheassumptionoffullyrationaleconomics,areasonabledecisionshouldbeconsistent.Itbecomesanimportantissueonhowtoanalyzeandensuretheconsistencyofcomparisonmatricestogetherwiththejudgmentsofthedecisionmaker.Themainobjectivesofthepresentpaperarethreefold.First,wereviewthebasicideaandmethodsusedtodefinetheconsistencyandthetransitivityofmultiplicativereciprocalmatrices,additivereciprocalmatricesandcomparisonmatriceswithfuzzyintervalandtriangularfuzzynumbers.TheexistingcontroversybehindtheapplicationsoffuzzysettheorytotheAHPintheliteratureispresented.Second,theconsistencyofthecollectivecomparisonmatricesingroupdecisionmakingbasedonAHPandfuzzyAHPisfurtheranalyzed.WepointoutthattheweakconsistencyofpreferencerelationswithfuzzynumbersinfuzzyAHPandgroupdecisionmakingshouldbeinvestigatedcomprehensively.Third,undertheconsiderationofthevaguenessintheprocessofevaluatingthejudgements,anewconceptoffuzzyconsistencyofcomparisonmatricesintheAHPisgiven.
简介:摘要:随着社会发展,高层学生公寓不断增加,火灾风险防范是重中之重,风险评价是必不可少的环节。本文设计了基于AHM和未确知综合评价模型的评估方法,先利用AHM模型求出公寓火灾风险的各评价指标的重要性权重,专家在重要性权重的基础上对各指标进行“打分”,再利用未确知综合评价模型进行综合评价,最后将此法用于武汉某高校高层学生公寓火灾风险评价中。经检验计算结果与实际情况相接近,并有较好的评价效果,从而为高层学生公寓火灾风险评价提供了一种新的方法,具有一定的指导意义。
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.