2023年河北大学学报(自然科学版)2023第43卷第2期JournalofHebeiUniversity(NaturalScienceEdition)Vol.43No.2DOI:10.3969/j.issn.10001565.2023.02.001不确定语言广义加权Heronian平均算子及决策应用胡喜梅1,杨淑霞1,田大增2(1.华北电力大学经济与管理学院,北京102206;2.河北大学数学与信息科学学院,河北保定071002)摘要:在实际多属性决策问题中,属性间有时会存在一定的关联关系,且属性值有时以不确定语言的形式给出.为解决不确定语言环境下属性间存在关联关系的多属性决策问题,首先给出不确定语言广义加权Heronian平均(uncertainlinguisticgeneralizedweightedHeronianmean,ULGWHM)算子,并研究该算子的性质,包括幂等性、有界性、单调性、置换性及极限性质,然后给出了基于该算子的多属性决策方法,最后通过实例说明了基于ULGWHM算子的多属性决策方法的可行性.关键词:多属性决策;属性关联;Heronian平均;不确定语言广义加权Heronian平均中图分类号:C934文献标志码:A文章编号:10001565(2023)02011308UncertainlinguisticgeneralizedweightedHeronianmeanoperatoranditsapplicationindecisionmakingHUXimei1,YANGShuxia1,TIANDazeng2(1.SchoolofEconomicsandManagement,NorthChinaElectricPowerUniversity,Beijing102206,China;2.CollegeofMathematicsandInformationScience,HebeiUniversity,Baoding071002,China)Abstract:Inpracticalmultiple-attributedecisionmakingproblems,sometimestherearecorrelationsbetweenattributes,andattributevaluesaregivenintheformofuncertainlanguage.Inordertosolvethemultiple-attributedecisionmakingproblemswithcorrelationsbetweenattributesinuncertainlinguisticenvironment,theuncertainlinguisticgeneralizedweightedHeronianmean(ULGWHM)operatorisgiven,anditspropertiesarestudied,includingidempotency,boundedness,monotonicity,permutationandlimitproperties.Thenamultiple-attributedecisionmakingmethodbasedonthisoperatorispresented.Finally,thefeasibilityofmultiple-attributedecisionmakingmethodbasedonULGWHMoperatorisillustratedbyanexample.Keywords:multiple-attributedecisionmaking;attributeassociation;Heronianmean;uncertainlinguisticgeneralizedweightedHeronianmean多属性决策是现代决策理论的一个重要分支,其理论与方法广泛应用于管理科学与工程的诸多领域[1].多属性决策...
