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时间:2018-09-18
《基于熵和相关系数的直觉模糊多属性决策方法》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、JournalofComputerApplicationsISSN1001-90812012-11-01计算机应用,2012,32(11):3002-3004,3017CODENJYIIDUhttp://www.joca.cn文章编号:1001-9081(2012)11-3002-03doi:10.3724/SP.J.1087.2012.03002基于熵和相关系数的直觉模糊多属性决策方法1*11,21王翠翠,姚登宝,毛军军,孙丽(1.安徽大学数学科学学院,合肥230601;2.计算智能与信号处理教育部重点实验室(安徽大学),合肥
2、230039)(*通信作者电子邮箱wccjiayou@163.com)摘要:针对决策信息为直觉模糊信息且属性权重完全未知的多属性决策问题,提出了一种基于直觉模糊熵和得分函数的决策方法。为了准确度量直觉模糊集的直觉性和模糊性,首先提出了一种新的直觉模糊熵,并讨论其相关性质。其次为了减少不确定信息对决策的影响,结合直觉模糊熵建立规划模型,从而确定属性权重。同时从隶属度,非隶属度和犹豫度三方面构建论域对象与理想对象之间相关系数,并在此基础上根据决策者的决策态度定义得分函数进而得到最优决策。最后给出一种基于直觉模糊信息的多属性决策方法,
3、并通过候选人评估实例验证了该方法的可行性和有效性。关键词:直觉模糊信息;直觉模糊熵;得分函数;属性权重;相关系数中图分类号:TP18文献标志码:AIntuitionisticfuzzymultipleattributesdecisionmakingmethodbasedonentropyandcorrelationcoefficient1*11,21WANGCui-cui,YAODeng-bao,MAOJun-jun,SUNLi(1.SchoolofMathematicalSciences,AnhuiUniversity,Hef
4、eiAnhui230601,China;2.KeyLaboratoryofIntelligentComputingandSignalProcessingofMinistryofEducation(AnhuiUniversity),HefeiAnhui230039,China)Abstract:Inordertodealwiththeproblemsthatdecisioninformationisintuitionisticfuzzyandattributeweightsareunknown,adecision-makingme
5、thodbasedonintuitionisticfuzzyentropyandscorefunctionwasproposed.Firstly,anewconceptofintuitionisticfuzzyentropywaspresentedtomeasuretheintuitionismandfuzzinessofintuitionisticfuzzysets,andrelevantpropertieswerealsodiscussed.Secondly,todecreasedecisioneffectsofuncert
6、aininformation,aprogrammingmodelwasconstructedtodetermineattributeweightscombinedwithintuitionisticfuzzyentropy.Meanwhile,intheviewofmembership,non-membershipandhesitancydegree,correlationcoefficientsbetweenobjectsoftheuniverseandtheidealobjectwereconstructed,andacco
7、rdingtodecisionmakers'attitude,theoptimaldecisionwasobtainedbydefiningthescorefunction.Finally,thearticleproposedamultipleattributedecisionmakingmethodonintuitionisticfuzzyinformation,andthefeasibilityandeffectivenessofthemethodareverifiedthroughacasestudyofcandidate
8、sevaluation.Keywords:intuitionisticfuzzyinformation;intuitionisticfuzzyentropy;scorefunction;attributeweight;correlationcoefficient
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