第2卷第2期Vol.2No.22023年4月JournalofArmyEngineeringUniversityofPLAApr.2023基于不确定性测度的犹豫模糊决策模型方冰,吴从晖,尹星(陆军指挥学院,江苏南京210045)摘要:针对已有犹豫模糊熵测度计算复杂、区分能力弱等问题,在综合衡量犹豫模糊元自身不确定性及其所表达信息不确定性的基础上,以凸组合的形式设计了混合型犹豫模糊熵和交叉熵测度。混合型犹豫模糊交叉熵测度用于度量两个犹豫模糊元之间的区分程度,它和混合型犹豫模糊熵测度一起统一于犹豫模糊元的不确定性测度。与已有的犹豫模糊不确定性测度相比,混合型熵测度具有结构简单、物理意义明确、区分能力强等优势;而混合型交叉熵测度则具有自然的对称性。然后,基于混合型犹豫模糊熵和交叉熵测度构建了属性权重未知条件下的多属性决策模型,并将其应用于无人机作战效能评估。关键词:犹豫模糊集;不确定性;熵;交叉熵;作战效能评估中图分类号:C934DOI:10.12018/j.issn.2097-0730.20220330003HesitantFuzzyDecision-MakingModelBasedonUncertaintyMeasuresFANGBing,WUConghui,YINXing(ArmyCommandCollegeofPLA,Nanjing210045,China)Abstract:Toaddresstheproblemsofcomplicatedcalculationsandweakdiscriminatingabilityforsomeexistinghesitantfuzzyentropymeasures,thehybridentropyandcross-entropymeasuresforhesitantfuzzyelements(HFEs)aredesignedintheformofconvexcombinationsonthebasisofcomprehensivelyevalua-tingtheuncertaintyofHFEsthemselvesandtheinformationtheyexpress.Thehybridcross-entropymeasuresforHFEsareusedtomeasurethedifferentiateddegreebetweentwoHFEsandcanbeunifiedto-getherwiththehybridentropymeasuresastheuncertaintymeasuresforHFEs.Comparedwiththeexist-inguncertaintymeasuresforHFEs,thehybridentropymeasuresshowtheadvantagesofsimplestructure,clearphysicalmeaning,andstrongdiscriminatingability,withthehybridcross-entropymeasurebeingnaturallysymmetrical.Then,basedontheproposedentropyandcross-entropymeasuresforHFEs,amulti-attributedecision-making(MADM)model,undertheconditionofunknownattributeweights,ises-tablishedandfurtherappliedtotheevaluationofUAVs'combateffectiveness.Keywords:hesitantfuzzyset;uncertainty;entropy;cross-entropy;combateffectivenessevaluation收稿日期:2022-03-30第一作者(通信作者):方冰,...
