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vague linguistic matrix game approach for multi-criteria decision making with uncertain weights

vague linguistic matrix game approach for multi-criteria decision making with uncertain weights

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时间：2018-02-12

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1、JournalofIntelligent&FuzzySystemsxx(20xx)xxx1DOI:10.3233/IFS-2012-0638IOSPress1Vaguelinguisticmatrixgameapproachfor2multi-criteriadecisionmakingwithuncertain3weightsWu-EYanga,ba,∗4andJian-QiangWang5aSchoolofBusiness,CentralSouthUniversity,ChangSha,China6bSchoolofScie

2、nce,CentralSouthUniversityofForestryandTechnology,ChangSha,China7Abstract.Vaguelinguisticnumbersareespeciallyadaptivetodescribetheevaluationsofalternativesinmulti-criteriadecision8making.SuchdescriptionrevealstheDMspreferenceandhesitantdegreesimultaneously.Forhandlin

3、gtheuncertaintyinsetting9theweightsofcriteria,afuzzymatrixgamerelatedwiththeinitialdecisionmatrixisestablished.Thisfuzzygamemodelisthen10transformedtoalinearprogramming.Bysolvingthisprogramming,theweightsofcriteriaareobtained.Theweightedarithmetic11averageoperatorofv

4、aguelinguisticnumbersyieldstheaggregatedrankingvaluesofalternatives.Anexampleillustratesthe12procedureoftheproposedmethod.13Keywords:Decisionanalysis,MCDM,linguisticmodeling,vaguelinguisticnumber,gaming141.Introductiongivenprior.Recently,usinglinguisticvariablesin28M

5、CDMhasattractedmuchresearchattention[2,3,15,2915MultipleCriteriaDecisionMaking(MCDM)meth-17,19,22].3016odsarewidelyusedtorankalternativeswithrespectThesestudiesinfactimplythatthemembership3117toseveralcompetingcriteria.IntheclassicalMCDMdegreeoftheevaluationtotheling

6、uistictermequals3218methods,theevaluationsofalternativesareknownpre-to1.Itcannotdescribethedecisionmaker(DM)s3319cisely[7].However,sincehumanjudgmentsincludingcertaintyorconfidenceofthejudgment.Therefore,3420preferencesareoftenvague,estimatinganalternativevaguelinguis

7、tic(VL)numberwasintroducedin[21].3521withcrispnumericalvaluesisdifficult.Amorerealis-BydevelopingtheconceptofAtanassovsintuitionistic3622ticsolutionmaybetouselinguisticassessmentsinsteadfuzzyset[1](namelyvagueset[9]),themembership3723ofnumericalvalues,namelytheevaluat

8、ionsofalterna-andnon-membershipdegreesareattachedtoanlin-3824tiveswithrespecttocriteriaareassessedwithlinguisticguisticvariable.Suc

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