Some Generalized Single Valued Neutrosophic Linguistic Operators and Their Application to Multiple Attribute Group Decision Making

(整期优先)网络出版时间:2017-02-12
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Thispaperproposesagroupdecisionmakingmethodbasedonentropyofneutrosophiclinguisticsetsandgeneralizedsinglevaluedneutrosophiclinguisticoperators.Thismethodisappliedtosolvethemultipleattributegroupdecisionmakingproblemsundersinglevaluedneutrosophicliguisticenvironment,inwhichtheattributeweightsarecompletelyunknown.First,theattributeweightsareobtainedbyusingtheentropyofneutrosophiclinguisticsets.Thenthreegeneralizedsinglevaluedneutrosophiclinguisticoperatorsareintroduced,includingthegeneralizedsinglevaluedneutrosophiclinguisticweightedaveraging(GSVNLWA)operator,thegeneralizedsinglevaluedneutrosophiclinguisticorderedweightedaveraging(GSVNLOWA)operatorandthegeneralizedsinglevaluedneutrosophiclinguistichybridaveraging(GSVNLHA)operator,andtheGSVNLWAandGSVNLHAoperatorsareusedtoaggregateinformation.Furthermore,similaritymeasurebasedonsinglevaluedneutrosophiclinguisticnumbersisdefinedandusedtosortthealternativesandobtainthebestalternative.Finally,anillustrativeexampleisgiventodemonstratethefeasibilityandeffectivenessofthedevelopedmethod.