群体评价中评价者权威度的计算方法

2012－06－187107103071071031．1984－1952－．第34卷第2期2013年2月东北大学学报(自然科学版)JournalofNortheasternUniversity(NaturalScience)Vol．34，No．2Feb．2013毛强，郭亚军，戚宇110819．．．．C931A1005－3026201302－0297－04CalculationMethodofEvaluators’AuthorityinGroupEvaluationMAOQiangGUOYa-junQIYuSchoolofBusinessAdministrationNortheasternUniversityS[e-mail]onsistentevaluationfindingscausedbymultipleevaluatorsormultipleevaluationmethodsingroupbargainingevaluationamethodforcalculatingevaluators’authorityisproposedinordertoprovidereferenceforthecredibilityofevaluationfindingsandthechoiceofevaluatorsinpracticalapplications．Firsttheevaluationcontextissetandtheresearchhypothesesaremade．Thenseveralrelatedconceptsanddefinitionsofevaluators’authorityaregivenafterwhichacalculationmodelofevaluators’authorityisformulatedanditsvalidityisdescribed．Theoreticallythismethodcouldsolvetheinconsistentevaluationfindingsandavoidpeerevaluators’subjectivityanduncertaintyintheprocessofgroupbargainingevaluation．Finallyanumericalexampleisgiventoverifytheeffectivenessofthemethod．Keywordsgroupevaluationevaluators’authorityinconsistencycredibilityevaluators’selection．．．．．．、、1－3．4．5－6．．．．．11.1no1o2…onmx1x2…xmoixjxij=xjoii=12…nj=12…m．．Ls1s2…sLm．珟Djk=λkDjλkUjk=12…LkxjλkDj珘DjkλkUj珘Djk0≤λkDj≤λkUj≤1．珟DjkeDjk=λkUj－λkDjnDjk=λkUj+λkDj/2珟Djk、．、．L．1.2123．22.1．．1ηkkk=12…Lηk=η0k+Δηk．η0kk．Δηkk．2η0kη0k=a+η1k－aexp－Δt．aη1kkΔtΔt、、．Δt．3η0kλjLxj．λj=λkjη0k/∑η0kk=12…Lλkj∈珟Djkλkjkxj．4ΔηkΔηk=∑Δηjkj=12…mk=12…LΔηjkkxj．5ΔηjkΔηjk=c1－eDjkb－λj－nDjkb∈01．bc、c．、、、、57．2.2、ηk=η0k+Δηkk=12…LL≥2．1η0k=a+η1k－aexp－Δt．2Δηk=∑mj=1c1－eDjkb－λj－nDjk．3122η0k3λkjλj=λkjη0k/∑η0kλj43Δηk892东北大学学报(自然科学版)第34卷51ηk．2.31．珟Dtkkt1t221t1t2珟Dtkη0kt1'＞η0kt2'2t1t2珟Dtkη0k1t1＞η0k2t1η0k1t2＞η0k2t2．1．2．3bxjnDjkλjbΔηjkc．13．λkj8－9．、．．35o1…o534x1…x45s1…s5．．1～3．1Table1Attributevaluesofeachcompanyx1x2x3x4o15.2005.2004.7300.473o210.2506.7005.7101.599o35.2504.2003.8200.473o49.7205.2505.5401.313o56.6003.7503.3000.8032Table2Attributevaluesofeachevaluatorinrelatedfieldss110.0002010－092010－12s29.0002010－102010－12s36.0002010－092010－12s48.0002010－082010－12s59.0002010－112010－123Table3Weightvaluesofeachindexx1x2x3x4s10.100.150.200.300.400.450.250.30s20.250.300.250.300.400.450.050.10s30.200.300.400.450.100.150.250.30s40.100.150.250.300.400.450.150.30s50.400.450.200.300.100.200.150.301．a=5b=0.5．3c=1c=1.4c=1.96c=2.74c=3.84．20000.92．minY=∑λkj－λk'j2kk'=12…Ls．t．λkDj≤λkj≤λkUj}．41．22η0kη01=5.25η02=5.54η03=5.05η04=5.05η05=6.47．3λj．VCλkj4．4Table4Consultedvaluesofindexweightx1x2x3x4s10.150.300.400.25s20.250.250.400.10s30.240.400.150.25s40.150.300.400.20s50.400.300.200.20992第2期毛强等:群体评价中评价者权威度的计算方法λj=λkjη0k/∑η0kλ1=0.240λ2=0.301λ3=0.264λ4=0.195．43Δηk．s1Δη1Δη1=∑4j=13.841－eDj10.5－λj－nDj1=5.725Δη2=4.316Δη3=3.019Δη4=4.213Δη5=5.569．51ηk．510.9759.8568.0699.26312.039．5．6．50.4510.5410.4500.4430.471o2o5o1o3o43o5o2o3o1o4．、、、．3、．．5Table5Changesintheevaluators’authoritydegreebeforeandafterevaluations110.0005.2501.4915.72510.975s29.0005.5401.5754.3169.856s36.0005.0501.5403.0198.069s48.0005.0501.5384.2139.263s59.0006.4701.4505.56912.03941、．2．3．．1ZioE．OntheuseoftheanalytichierarchyprocessintheaggregationofexpertjudgmentsJ．ReliabilityEngineeringandSystemSafety1996532127－138．2RamanathanRGaneshLS．GrouppreferenceaggregationmethodsemployedinAHPanevaluationandanintrinsicprocessforderivingmembersJ．EuropeanJournalofOperationalResearch199479249－265．3．J．201019263－67．ZhangFa-mingGuoYa-junYiPing-tao．MethodandapplicationofgroupbargainingevaluationbasedonMonteCarlosimulationJ．OperationsResearchandManagementScience201019263－67．4BollojuN．Aggregationofanalytichierarchyprocessmodelsbasedonsimilaritiesindecisionmakers’preferencesJ．EuropeanJournalofOperationalResearch2001128499－508．5WeiQYanHMaJetal．Acompromiseweightformulti-criteriagroupdecisionmakingwithindividualpreferenceJ．JournaloftheOperationalResearchSociety200051625－634．6PatrikEAgnieszkaRHarrieDS．ConsensusreachingincommitteesJ．EuropeanJournalofOperationalResearch2007178185－193．7．M．2010．JiangGuan-zhuang．PolicyquestionsandanswersoftechnicaltitlesandvocationalskillsM．BeijingChinaPersonnelPress2010．8EberhartRKennedyJ．AnewoptimizerusingparticleswarmtheoryC//ProceedingsoftheSixthInternationalSymposiumonMicroMachineandHumanScience．PiscatawayIEEE199539－43．9KennedyJEberhartR．ParticleswarmoptimizationC//ProceedingsofIEEEInternationalConferenceonNeuralNetworks．PerthIEEE19951942－1948．003东北大学学报(自然科学版)第34卷