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基于模糊数直觉模糊PG算子的多属性决策方法.docx

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基于模糊数直觉模糊PG算子的多属性决策方法 Abstract Inrecentyears,multipleattributedecisionmaking(MADM)hasbecomeanimportantissueinvariousfields.Inthispaper,wepresentaMADMmethodbasedontheintuitionisticfuzzynumberandthePGoperator.Theproposedmethodconsiderstheuncertaintiesandambiguitiesinthedecision-makingprocessandcanprovideamoreaccurateandreasonabledecision.Firstly,theintuitionisticfuzzynumbersaredefinedandsomebasicoperationsofthesenumbersareintroduced.Then,thePGoperatorispresented.Finally,wegivethedetailedstepsoftheproposedmethod,andanumericalexampleisprovidedtoillustratetheapplicationandeffectivenessofthemethod. Keywords:Multipleattributedecisionmaking,Intuitionisticfuzzynumber,PGoperator,Fuzzysets 1Introduction Multipleattributedecisionmaking(MADM)isaprocessofevaluatingasetofalternativesbasedonmultiplecriteriaorattributes[1].Inmanyreal-worldapplications,decisionmakersareoftenfacedwiththeproblemofevaluatingalternativesbasedonmultiplecriteriathatareoftenconflicting.Therefore,selectingthemostsuitablealternativefromthealternativesbasedonthemultipleattributesisadifficultandcomplextask. Fuzzysets,whichhavetheabilitytocapturethedegreeofuncertaintyandambiguityinhumandecisionmaking,havebeenwidelyusedinMADM[2].However,thetraditionalfuzzysetsonlyconsiderthedegreesofmembershipandnon-membership,andcannotcapturethedegreeofindeterminacyorhesitancyindecisionmaking[3].Toaddressthislimitation,Atanassov[4]proposedintuitionisticfuzzysets,whichallowfortheassignmentofdegreesofmembership,non-membership,andindeterminacy. Inthispaper,weproposeaMADMmethodbasedonintuitionisticfuzzynumbersandthePGoperator.Theproposedmethodconsiderstheuncertaintiesandambiguitiesinthedecision-makingprocessandcanprovideamoreaccurateandreasonabledecision. Therestofthepaperisorganizedasfollows.InSection2,weintroducethebasicconceptsofintuitionisticfuzzynumbers.InSection3,wepresentthePGoperator.InSection4,theproposedMADMmethodisdescribedindetail.InSection5,anumericalexampleisprovidedtoillustratetheapplicationandeffectivenessofthepropos