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ISSN:0974-7435Volume10Issue16BioTechnologyAnIndianJournalFULLPAPERBTAIJ,10(16),2014[9404-9409]Modelforevaluatingtheenterprisemanagementinformationsystemwith2-tuplelinguisticinformationXiaohongZhouSchoolofHumanitiesandEconomics,AnhuiSanlianUniversity,Hefei,Anhui,230601,(CHINA)E-mail:adzxh@163.
comABSTRACTInthispaper,weinvestigatethemultipleattributegroupdecisionmaking(MAGDM)problemsforforevaluatingtheenterprisemanagementinformationsystemwith2-tuplelinguisticInformation.
Then,amodelbasedonthe2-tupleweightedgeometric(TWG)operatorstoevaluatetheenterprisemanagementinformationsystemispresented.
Inthismodel,alternativeappraisalvaluesarecalculatedbytheaggregationof2-tuplelinguisticinformation.
Thus,therankingofalternativeorselectionofthemostdesirablealternativesisobtainedbythecomparisonof2-tuplelinguisticinformation.
Finally,anillustrativeexampleforevaluatingtheenterprisemanagementinformationsystemisgiventoverifythedevelopedapproachandtodemonstrateitspracticalityandeffectiveness.
KEYWORDSMultipleattributegroupdecision-making(MAGDM);2-tupleweightedgeometric(TWG)operator;2-tuplelinguisticinformation;Enterprisemanagementinformationsystem.
BTAIJ,10(16)2014XiaohongZhou9405INTRODUCTIONTakingcomputerasthecoreofmoderninformationtechnologyhaschangedthestructureofeconomyandorganization,lifemannerandmanyotheraspectsoftheworld.
Theconstructionandapplicationofenterprisemanagementinformationsystem(EMIS)playamajorroleforthesurvivalanddevelopmentoftheenterprises.
However,whilewearenoticingtherapiddevelopmentofMIS,wemustpayattentiontotheproblemsthatexistintheconstructionofenterprisemanagementinformationsystem(EMIS)projects.
Thesuccessrateoftheconstructionofenterprisemanagementinformationsystem(EMIS)projectsislowerthanthatofotherprojectsbothindevelopedanddevelopingcountries.
Moreandmoreinvestmentsinitcan'treachexpectationoftheenterprises.
Therefore,timelyandimpersonalevaluationofenterprisemanagementinformationsystem(EMIS)seemsparticularlyimportant.
BecauseonlybyunderstandingthetruevalueofMIS,enterpriseswouldbeabletoresolvetheimportantissuessuchaswhethertocontinuetoinvest,andwhatareasshouldbeimprovedetc.
Thenenterpriseswouldsummarizeexperiencesandimprovethemselvescontinuously.
However,stressofevaluationhasbeenparticularlylaidontheanalysisofMISperformanceandfinancialperspective,andtheinfluenceoninternalmanagement,customerrelationshipandcompetitionbroughtbyenterprisemanagementinformationsystem(EMIS)overlooked.
Usually,theinfluenceontheseaspectsisthemostimportant,whichneedsfrequentapplicationandimprovementinalongway.
Particularly,inChina,comparedwiththerapidlydevelopinginformationindustry,theevaluationofthevalueofenterprisemanagementinformationsystem(EMIS)ismorelaggard.
Therefore,thereisanurgentneedtostrengthentheresearchonenterprisemanagementinformationsystem(EMIS)theoryandmethodofevaluation.
Theproblemofevaluatingtheenterprisemanagementinformationsystemwith2-tuplelinguisticinformationisthemultipleattributegroupdecisionmaking(MAGDM)problems[1-9].
TheaimofthispaperistoinvestigatetheMAGDMproblemsforevaluatingtheenterprisemanagementinformationsystemwith2-tuplelinguisticinformation.
Theremainderofthispaperissetoutasfollows.
Inthenextsection,weintroducesomebasicconceptsrelatedto2-tuplelinguisticinformations.
InSection3weintroducetheMAGDMproblemtoevaluatetheenterprisemanagementinformationsystemwith2-tuplelinguisticinformation.
Then,amodelbasedon2-tupleweightedgeometric(TWG)operatorstoevaluatetheenterprisemanagementinformationsystemispresented.
Inthismodel,alternativeappraisalvaluesarecalculatedbytheaggregationof2-tuplelinguisticinformation.
Thus,therankingofalternativeorselectionofthemostdesirablealternativesisobtainedbythecomparisonof2-tuplelinguisticinformation.
InSection4,anillustrativeexampleispointedout.
InSection5weconcludethepaperandgivesomeremarks.
PRELIMINARIESLet{}1,2,,iSsit==Lbealinguistictermsetwithoddcardinality.
Anylabel,isrepresentsapossiblevalueforalinguisticvariable,anditshouldsatisfythefollowingcharacteristics[10-12]:(1)Thesetisordered:ijss>,ifij>;(2)Maxoperator:()max,ijisss=,ifijss≥;(3)Minoperator:()min,ijisss=,ifijss≤.
Forexample,Scanbedefinedas1234567,,}Ssextremelypoorsverypoorspoorsmediumsgoodsverygoodsextremelygood===Definition1.
Let{}12,,,tSsss=Lbealinguistictermsetand[]1,tβ∈beavaluerepresentingtheresultofasymbolicaggregationoperation;then2-tuplethatexpressestheequivalentinformationtoβisobtainedwiththefollowingfunction:[])1,0.
50.
5tSΔ→*:,(1)()())0.
50.
5isiroundiββαβα=Δ==∈,,,(2)whereround(.
)istheusualroundoperation,ishastheclosestindexlabeltoβandαisthevalueofthesymbolictranslation[10-12].
9406Modelforevaluatingtheenterprisemanagementinformationsystemwith2-tuplelinguisticinformationBTAIJ,10(16)2014Definition2.
Let{}12,,,tSsss=Lbealinguistictermsetand(),iisαbea2-tuple;afunction1Δcanbedefined,suchthat,froma2-tuple(),iisαitreturnitsequivalentnumericalvalue[]1,tRβ∈,whichisobtainedwiththefollowingfunction[10-12]:)[]10.
50.
51,StΔ*→:,(3)()1,isiααβΔ=+=(4)Definition3[13].
Let{}1122nnxrarara=Kbeasetof2-tupleand()12,,,Tnωωωω=Lbetheweightingvectorof2-tuple(),jjra()1,2,,jn=Land[]0,1jω∈,11njjω==∑,The2-tupleweightedgeometricoperatoris()()()111221jnnnjjjraTWGrarararaωω===ΔΔ∏%%K),0.
50.
5rSa∈∈%%,(5)MODELFOREVALUATINGTHEENTERPRISEMANAGEMENTINFORMATIONSYSTEMWITH2-TUPLELINGUISTICINFORMATIONThefollowingassumptionsornotationsareusedtorepresenttheMAGDMproblemsforevaluatingenterprisemanagementinformationsystemwith2-tuple[10-13]linguisticinformation.
Let{}12,,,mAAAA=Lbeadiscretesetofalternatives,and{}12,,,nGGGG=Lbethesetofattributes,()12,,,nωωωω=Listheweightingvectoroftheattributes()1,2,,jGjn=L,where0jω≥,1,2,,jn=L,11njjω==∑.
Let{}12,,,tDDDD=Lbethesetofdecisionmakers.
Supposethat()()kkijmnRr*=isthedecisionmatrix,where()kijrS∈isapreferencevalue,whichtakestheformoflinguisticvariables,givenbythedecisionmakerkDD∈,forthealternativeiAA∈withrespecttotheattributejGG∈.
Let{}12,,,mAAAA=Lbeadiscretesetofalternatives.
Inthefollowing,weapplytheproposedmodeltoMAGDMforevaluatingtheenterprisemanagementinformationsystemwith2-tuplelinguisticinformation.
Step1.
Transforminglinguisticdecisionmatrix()()kkijmnRr*=into2-tuplelinguisticdecisionmatrix()(),0kkijmnRr*=.
Step2.
UtilizethedecisioninformationgiveninmatrixkR,andtheTWGoperator()()()[)11,,0,,0.
5,0.
5jnkkkkkkiiiijiijzrarrSaω===ΔΔ∈∈∏(6)toderivetheindividualoverallpreferencevalue()kir%ofthealternativeiA.
Step3.
UtilizetheTWGoperator:BTAIJ,10(16)2014XiaohongZhou9407()()()[)11,,,,0.
5,0.
5ktkkiiiiiiikzrararSaν===ΔΔ∈∈∏(7)toderivethecollectiveoverallpreferencevalues()(),1,2,,iiizraim==LofthealternativeiA,where(),kkiiraisthek-thlargestofthe2-tuplelinguisticweightedarguments()()()(),1,2,,kkiirakt=L,()12,,,nνννν=Listheassociated2-tuplelinguisticweightingvectoroftheTWGoperator,0kν≥,1,2,,jn=L,11nkjν==∑.
Step4.
Rankallthealternatives()1,2,,iAim=Landselectthebestone(s)inaccordancewith()1,2,,izim=L.
Ifanyalternativehasthehighestizvalue,then,itisthemostimportantalternative.
Step5.
End.
NUMERICALEXAMPLEThissectionpresentsanumericalexampletoevaluatetheenterprisemanagementinformationsystemwith2-tuplelinguisticinformationtoillustratethemethodproposedinthispaper.
Therearefivepossibleenterprisemanagementinformationsystems()1,2,3,4,5iAi=forfourattributes()1,2,3,4jGj=.
Thefourattributesincludethesystemperformance()1G,internalprocesses()2G,learningandgrowth()3Gandsocialobjectives()4G,respectively.
Thefivepossibleenterprisemanagementinformationsystems()1,2,,5iAi=Laretobeevaluatedusingthelinguistictermset1234567,,}Ssextremelypoorsverypoorspoorsmediumsgoodsverygoodsextremelygood===bythethreedecisionmakers()1,2,3kDk=undertheabovefiveattributeswhoseweightingvector()0.
15,0.
25,0.
10,0.
30,0.
20Tω=),andconstruct,respectively,thedecisionmatricesasfollows()()()541,2,3kkijRrk*==%%:3244312316421544663566434sssssTsssssTRsssssTsssssT=%2333315323422444663552424sssssTsssssTRsssssTsssssT=%9408Modelforevaluatingtheenterprisemanagementinformationsystemwith2-tuplelinguisticinformationBTAIJ,10(16)20143223314332223555343553664sssssTsssssTRsssssTsssssT=%Inthefollowing,weshallutilizetheproposedapproachinthispapergettingthemostdesirableenterprisemanagementinformationsystems:Step1.
Transforminglinguisticdecisionmatrix()()kkijmnRr*=into2-tuplelinguisticdecisionmatrix()(),0kkijmnRr*=asfollows324432316414466566453,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0ssssssssssRssssssssss=%233333523424446625542,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0ssssssssssRssssssssss=%322334332235354535656,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0ssssssssssRssssssssss=%Step2.
UtilizethedecisioninformationgiveninmatrixkR%,andtheTWGoperatortoderivetheindividualoverallpreferencevalue(),kkkiiizra=oftheenterprisemanagementinformationsystemiA.
()()()()()()()()()()()()()()()()()()()()()()()()111113233645222213233543333313223442,0.
13,,0.
34,,0.
42,,0.
44,0.
20,,0.
23,,0.
43,,0.
43,0.
21,,0.
23,,0.
34,,0.
32zszszszszszszszszszszszsStep3.
UtilizetheTWGoperatortoderivethecollectiveoverallpreferencevalues()(),1,2,3,4iiizrai==oftheenterprisemanagementinformationsystemiA,()0.
20,0.
45,0.
35w=istheassociatedweightingvectoroftheTWGoperator.
13233544,0.
12,,0.
36,,0.
35,,0.
18zszszszsBTAIJ,10(16)2014XiaohongZhou9409Step4.
Rankingalltheenterprisemanagementinformationsystems()1,2,3,4iTi=inaccordancewiththe()1,2,3,4izi=:3421TTTTfff.
Andthusthemostdesirableenterprisemanagementinformationsystemis3T.
CONCLUSIONInthispaper,weinvestigatethemultipleattributegroupdecisionmaking(MAGDM)problemsforforevaluatingtheenterprisemanagementinformationsystemwith2-tuplelinguisticInformation.
Then,amodelbasedonthe2-tupleweightedgeometric(TWG)operatorstoevaluatetheenterprisemanagementinformationsystemispresented.
Inthismodel,alternativeappraisalvaluesarecalculatedbytheaggregationof2-tuplelinguisticinformation.
Thus,therankingofalternativeorselectionofthemostdesirablealternativesisobtainedbythecomparisonof2-tuplelinguisticinformation.
Finally,anillustrativeexampleforevaluatingtheenterprisemanagementinformationsystemisgiventoverifythedevelopedapproachandtodemonstrateitspracticalityandeffectiveness.
REFERENCES[1]JianliWei;"ARiskEvaluationMethodfortheHigh-TechnologyProjectInvestmentBasedonET-WAOperatorwith2-TupleLinguisticInformation",JournalofConvergenceInformationTechnology,5(10),176-180,(2010).
[2]PeideLiu,Y.
Su;"TheextendedTOPSISbasedontrapezoidfuzzylinguisticvariables",JournalofConvergenceInformationTechnology,5(4),38-53,(2010).
[3]XiaorongWang,ZhanhongGao,GuiwuWei;"AnApproachtoArchivesWebsites'PerformanceEvaluationinOurCountrywithIntervalIntuitionisticFuzzyInformation",AISS:AdvancesinInformationSciencesandServiceSciences,3(7),112-117,(2011).
[4]YingFang;"AModelforE-commerceRiskAssessmentwithUncertainLinguisticInformation",AISS:AdvancesinInformationSciencesandServiceSciences,3(7),296-301,(2011).
[5]X.
W.
Liao,Y.
Li,B.
Lu;"AmodelforselectinganERPsystembasedonlinguisticinformationprocessing",InformationSystems,32(7),1005-1017,(2007).
[6]MingheWang,PeideLiu;"AnExtendedVIKORMethodforInvestmentRiskAssessmentofRealEstatebasedontheUncertainLinguisticVariables",AISS:AdvancesinInformationSciencesandServiceSciences,3(7),35-43,(2011).
[7]XiuhongWang;"ModelforTourismManagementwith2-tupleLinguisticInformation",AISS:AdvancesinInformationSciencesandServiceSciences,3(4),34-39,(2011).
[8]G.
W.
Wei;"Maximizingdeviationmethodformultipleattributedecisionmakinginintuitionisticfuzzysetting",Knowledge-BasedSystems,21(8),833-836,(2008).
[9]G.
W.
Wei;"UncertainlinguistichybridgeometricmeanoperatoranditsApplicationtogroupdecisionmakingunderuncertainlinguisticenvironment",InternationalJournalofUncertainty,FuzzinessandKnowledge-BasedSystems,17(2),251-267,(2009).
[10]F.
Herrera,L.
Nartinez;"A2-tuplefuzzylinguisticrepresentationmodelforcomputingwithwords",IEEETransactionsonFuzzySystems,8(6),746-752,(2000).
[11]F.
Herrera,L.
Martinez;"Amodelbasedonlinguistic2-tuplesfordealingwithmultigranularityhierarchicallinguisticcontextsinmultiexpertdecision-making",IEEETransactionsonSystems,ManandCybernetics-PartB:Cybernetics,31(2),227-234,(2001).
[12]F.
Herrera,L.
Nartinez;"A2-tuplefuzzylinguisticrepresentationmodelforcomputingwithwords",IEEETransactionsonFuzzySystems,8(6),746-752,(2000).
[13]YanpingJiang,ZipingFan;"Propertyanalysisoftheaggregationoperatorsfor2-tuplelinguisticinformation",ControlandDecision,18(6),754-757,(2003).
ISSN:0974-7435Volume10Issue16BioTechnologyAnIndianJournalFULLPAPERBTAIJ,10(16),2014[9404-9409]Modelforevaluatingtheenterprisemanagementinformationsystemwith2-tuplelinguisticinformationXiaohongZhouSchoolofHumanitiesandEconomics,AnhuiSanlianUniversity,Hefei,Anhui,230601,(CHINA)E-mail:adzxh@163.
comABSTRACTInthispaper,weinvestigatethemultipleattributegroupdecisionmaking(MAGDM)problemsforforevaluatingtheenterprisemanagementinformationsystemwith2-tuplelinguisticInformation.
Then,amodelbasedonthe2-tupleweightedgeometric(TWG)operatorstoevaluatetheenterprisemanagementinformationsystemispresented.
Inthismodel,alternativeappraisalvaluesarecalculatedbytheaggregationof2-tuplelinguisticinformation.
Thus,therankingofalternativeorselectionofthemostdesirablealternativesisobtainedbythecomparisonof2-tuplelinguisticinformation.
Finally,anillustrativeexampleforevaluatingtheenterprisemanagementinformationsystemisgiventoverifythedevelopedapproachandtodemonstrateitspracticalityandeffectiveness.
KEYWORDSMultipleattributegroupdecision-making(MAGDM);2-tupleweightedgeometric(TWG)operator;2-tuplelinguisticinformation;Enterprisemanagementinformationsystem.
BTAIJ,10(16)2014XiaohongZhou9405INTRODUCTIONTakingcomputerasthecoreofmoderninformationtechnologyhaschangedthestructureofeconomyandorganization,lifemannerandmanyotheraspectsoftheworld.
Theconstructionandapplicationofenterprisemanagementinformationsystem(EMIS)playamajorroleforthesurvivalanddevelopmentoftheenterprises.
However,whilewearenoticingtherapiddevelopmentofMIS,wemustpayattentiontotheproblemsthatexistintheconstructionofenterprisemanagementinformationsystem(EMIS)projects.
Thesuccessrateoftheconstructionofenterprisemanagementinformationsystem(EMIS)projectsislowerthanthatofotherprojectsbothindevelopedanddevelopingcountries.
Moreandmoreinvestmentsinitcan'treachexpectationoftheenterprises.
Therefore,timelyandimpersonalevaluationofenterprisemanagementinformationsystem(EMIS)seemsparticularlyimportant.
BecauseonlybyunderstandingthetruevalueofMIS,enterpriseswouldbeabletoresolvetheimportantissuessuchaswhethertocontinuetoinvest,andwhatareasshouldbeimprovedetc.
Thenenterpriseswouldsummarizeexperiencesandimprovethemselvescontinuously.
However,stressofevaluationhasbeenparticularlylaidontheanalysisofMISperformanceandfinancialperspective,andtheinfluenceoninternalmanagement,customerrelationshipandcompetitionbroughtbyenterprisemanagementinformationsystem(EMIS)overlooked.
Usually,theinfluenceontheseaspectsisthemostimportant,whichneedsfrequentapplicationandimprovementinalongway.
Particularly,inChina,comparedwiththerapidlydevelopinginformationindustry,theevaluationofthevalueofenterprisemanagementinformationsystem(EMIS)ismorelaggard.
Therefore,thereisanurgentneedtostrengthentheresearchonenterprisemanagementinformationsystem(EMIS)theoryandmethodofevaluation.
Theproblemofevaluatingtheenterprisemanagementinformationsystemwith2-tuplelinguisticinformationisthemultipleattributegroupdecisionmaking(MAGDM)problems[1-9].
TheaimofthispaperistoinvestigatetheMAGDMproblemsforevaluatingtheenterprisemanagementinformationsystemwith2-tuplelinguisticinformation.
Theremainderofthispaperissetoutasfollows.
Inthenextsection,weintroducesomebasicconceptsrelatedto2-tuplelinguisticinformations.
InSection3weintroducetheMAGDMproblemtoevaluatetheenterprisemanagementinformationsystemwith2-tuplelinguisticinformation.
Then,amodelbasedon2-tupleweightedgeometric(TWG)operatorstoevaluatetheenterprisemanagementinformationsystemispresented.
Inthismodel,alternativeappraisalvaluesarecalculatedbytheaggregationof2-tuplelinguisticinformation.
Thus,therankingofalternativeorselectionofthemostdesirablealternativesisobtainedbythecomparisonof2-tuplelinguisticinformation.
InSection4,anillustrativeexampleispointedout.
InSection5weconcludethepaperandgivesomeremarks.
PRELIMINARIESLet{}1,2,,iSsit==Lbealinguistictermsetwithoddcardinality.
Anylabel,isrepresentsapossiblevalueforalinguisticvariable,anditshouldsatisfythefollowingcharacteristics[10-12]:(1)Thesetisordered:ijss>,ifij>;(2)Maxoperator:()max,ijisss=,ifijss≥;(3)Minoperator:()min,ijisss=,ifijss≤.
Forexample,Scanbedefinedas1234567,,}Ssextremelypoorsverypoorspoorsmediumsgoodsverygoodsextremelygood===Definition1.
Let{}12,,,tSsss=Lbealinguistictermsetand[]1,tβ∈beavaluerepresentingtheresultofasymbolicaggregationoperation;then2-tuplethatexpressestheequivalentinformationtoβisobtainedwiththefollowingfunction:[])1,0.
50.
5tSΔ→*:,(1)()())0.
50.
5isiroundiββαβα=Δ==∈,,,(2)whereround(.
)istheusualroundoperation,ishastheclosestindexlabeltoβandαisthevalueofthesymbolictranslation[10-12].
9406Modelforevaluatingtheenterprisemanagementinformationsystemwith2-tuplelinguisticinformationBTAIJ,10(16)2014Definition2.
Let{}12,,,tSsss=Lbealinguistictermsetand(),iisαbea2-tuple;afunction1Δcanbedefined,suchthat,froma2-tuple(),iisαitreturnitsequivalentnumericalvalue[]1,tRβ∈,whichisobtainedwiththefollowingfunction[10-12]:)[]10.
50.
51,StΔ*→:,(3)()1,isiααβΔ=+=(4)Definition3[13].
Let{}1122nnxrarara=Kbeasetof2-tupleand()12,,,Tnωωωω=Lbetheweightingvectorof2-tuple(),jjra()1,2,,jn=Land[]0,1jω∈,11njjω==∑,The2-tupleweightedgeometricoperatoris()()()111221jnnnjjjraTWGrarararaωω===ΔΔ∏%%K),0.
50.
5rSa∈∈%%,(5)MODELFOREVALUATINGTHEENTERPRISEMANAGEMENTINFORMATIONSYSTEMWITH2-TUPLELINGUISTICINFORMATIONThefollowingassumptionsornotationsareusedtorepresenttheMAGDMproblemsforevaluatingenterprisemanagementinformationsystemwith2-tuple[10-13]linguisticinformation.
Let{}12,,,mAAAA=Lbeadiscretesetofalternatives,and{}12,,,nGGGG=Lbethesetofattributes,()12,,,nωωωω=Listheweightingvectoroftheattributes()1,2,,jGjn=L,where0jω≥,1,2,,jn=L,11njjω==∑.
Let{}12,,,tDDDD=Lbethesetofdecisionmakers.
Supposethat()()kkijmnRr*=isthedecisionmatrix,where()kijrS∈isapreferencevalue,whichtakestheformoflinguisticvariables,givenbythedecisionmakerkDD∈,forthealternativeiAA∈withrespecttotheattributejGG∈.
Let{}12,,,mAAAA=Lbeadiscretesetofalternatives.
Inthefollowing,weapplytheproposedmodeltoMAGDMforevaluatingtheenterprisemanagementinformationsystemwith2-tuplelinguisticinformation.
Step1.
Transforminglinguisticdecisionmatrix()()kkijmnRr*=into2-tuplelinguisticdecisionmatrix()(),0kkijmnRr*=.
Step2.
UtilizethedecisioninformationgiveninmatrixkR,andtheTWGoperator()()()[)11,,0,,0.
5,0.
5jnkkkkkkiiiijiijzrarrSaω===ΔΔ∈∈∏(6)toderivetheindividualoverallpreferencevalue()kir%ofthealternativeiA.
Step3.
UtilizetheTWGoperator:BTAIJ,10(16)2014XiaohongZhou9407()()()[)11,,,,0.
5,0.
5ktkkiiiiiiikzrararSaν===ΔΔ∈∈∏(7)toderivethecollectiveoverallpreferencevalues()(),1,2,,iiizraim==LofthealternativeiA,where(),kkiiraisthek-thlargestofthe2-tuplelinguisticweightedarguments()()()(),1,2,,kkiirakt=L,()12,,,nνννν=Listheassociated2-tuplelinguisticweightingvectoroftheTWGoperator,0kν≥,1,2,,jn=L,11nkjν==∑.
Step4.
Rankallthealternatives()1,2,,iAim=Landselectthebestone(s)inaccordancewith()1,2,,izim=L.
Ifanyalternativehasthehighestizvalue,then,itisthemostimportantalternative.
Step5.
End.
NUMERICALEXAMPLEThissectionpresentsanumericalexampletoevaluatetheenterprisemanagementinformationsystemwith2-tuplelinguisticinformationtoillustratethemethodproposedinthispaper.
Therearefivepossibleenterprisemanagementinformationsystems()1,2,3,4,5iAi=forfourattributes()1,2,3,4jGj=.
Thefourattributesincludethesystemperformance()1G,internalprocesses()2G,learningandgrowth()3Gandsocialobjectives()4G,respectively.
Thefivepossibleenterprisemanagementinformationsystems()1,2,,5iAi=Laretobeevaluatedusingthelinguistictermset1234567,,}Ssextremelypoorsverypoorspoorsmediumsgoodsverygoodsextremelygood===bythethreedecisionmakers()1,2,3kDk=undertheabovefiveattributeswhoseweightingvector()0.
15,0.
25,0.
10,0.
30,0.
20Tω=),andconstruct,respectively,thedecisionmatricesasfollows()()()541,2,3kkijRrk*==%%:3244312316421544663566434sssssTsssssTRsssssTsssssT=%2333315323422444663552424sssssTsssssTRsssssTsssssT=%9408Modelforevaluatingtheenterprisemanagementinformationsystemwith2-tuplelinguisticinformationBTAIJ,10(16)20143223314332223555343553664sssssTsssssTRsssssTsssssT=%Inthefollowing,weshallutilizetheproposedapproachinthispapergettingthemostdesirableenterprisemanagementinformationsystems:Step1.
Transforminglinguisticdecisionmatrix()()kkijmnRr*=into2-tuplelinguisticdecisionmatrix()(),0kkijmnRr*=asfollows324432316414466566453,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0ssssssssssRssssssssss=%233333523424446625542,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0ssssssssssRssssssssss=%322334332235354535656,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0ssssssssssRssssssssss=%Step2.
UtilizethedecisioninformationgiveninmatrixkR%,andtheTWGoperatortoderivetheindividualoverallpreferencevalue(),kkkiiizra=oftheenterprisemanagementinformationsystemiA.
()()()()()()()()()()()()()()()()()()()()()()()()111113233645222213233543333313223442,0.
13,,0.
34,,0.
42,,0.
44,0.
20,,0.
23,,0.
43,,0.
43,0.
21,,0.
23,,0.
34,,0.
32zszszszszszszszszszszszsStep3.
UtilizetheTWGoperatortoderivethecollectiveoverallpreferencevalues()(),1,2,3,4iiizrai==oftheenterprisemanagementinformationsystemiA,()0.
20,0.
45,0.
35w=istheassociatedweightingvectoroftheTWGoperator.
13233544,0.
12,,0.
36,,0.
35,,0.
18zszszszsBTAIJ,10(16)2014XiaohongZhou9409Step4.
Rankingalltheenterprisemanagementinformationsystems()1,2,3,4iTi=inaccordancewiththe()1,2,3,4izi=:3421TTTTfff.
Andthusthemostdesirableenterprisemanagementinformationsystemis3T.
CONCLUSIONInthispaper,weinvestigatethemultipleattributegroupdecisionmaking(MAGDM)problemsforforevaluatingtheenterprisemanagementinformationsystemwith2-tuplelinguisticInformation.
Then,amodelbasedonthe2-tupleweightedgeometric(TWG)operatorstoevaluatetheenterprisemanagementinformationsystemispresented.
Inthismodel,alternativeappraisalvaluesarecalculatedbytheaggregationof2-tuplelinguisticinformation.
Thus,therankingofalternativeorselectionofthemostdesirablealternativesisobtainedbythecomparisonof2-tuplelinguisticinformation.
Finally,anillustrativeexampleforevaluatingtheenterprisemanagementinformationsystemisgiventoverifythedevelopedapproachandtodemonstrateitspracticalityandeffectiveness.
REFERENCES[1]JianliWei;"ARiskEvaluationMethodfortheHigh-TechnologyProjectInvestmentBasedonET-WAOperatorwith2-TupleLinguisticInformation",JournalofConvergenceInformationTechnology,5(10),176-180,(2010).
[2]PeideLiu,Y.
Su;"TheextendedTOPSISbasedontrapezoidfuzzylinguisticvariables",JournalofConvergenceInformationTechnology,5(4),38-53,(2010).
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