属性和专家客观权重未知的区间数群决策方法_尚战伟

《属性和专家客观权重未知的区间数群决策方法_尚战伟》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、网络出版时间：2016-07-0820:20:36网络出版地址：http://www.cnki.net/kcms/detail/11.2127.TP.20160708.2020.046.html1ComputerEngineeringandApplications计算机工程与应用属性和专家客观权重未知的区间数群决策方法1112尚战伟，郭永辉，邹俊国，闫俊青1112SHANGZhanwei,GUOYonghui,ZOUJunguo,YANJunqing1.中国人民解放军信息工程大学密码工程学院，郑州450004

2、2.中国人民解放军71315部队1.InstituteofCryptographyEngineering,ThePLAInformationEngineeringUniversity,Zhengzhou450004,China2.Unit71315ofthePLA,ChinaSHANGZhanwei,GUOYonghui,ZOUJunguo,etal.Intervalnumbergroupdecisionmakingmethodwithunknownobjectiveweightsofattributesan

3、ddecisionmakers.ComputerEngineeringandApplicationsAbstract：Thepapermainlyresearchesthemulti-attributegroupdecisionmakingwiththepreferenceinformationintheformofintervalnumberandunknownobjectiveweightsofattributesanddecisionmakers,andproposesthecomprehensivew

4、eightsofattributescanbecalculatedbycombiningthesubjectiveweightsandtheobjectiveones.Theobjectiveweightsareobtainedbythemethodsofentropyanalysisofthedeviationdegreeintheattributesas-sessmentvaluesandestablishingthenonlinearprogrammingmodelofminimalgoal.Based

5、onthedeterminingofdecisionmakers’objectiveweights,whichareobtainedbyanalyzingtheconsistencybetweeneachdecisionmaker’scomprehensiveevaluationandgroupdecisionmakers’comprehensiveevaluationusingthegraycorrelationmethod,thestableweightsofdecisionmakerscanbeobta

6、inedaftertheadaptiveiterativeprocess.Anewformulaofpossi-bilitydegreefortheintervalnumbercomparisonisproposed.Basedonthisformula,themethodfordealingwiththerankingproblemsofalternativesispresented.Theproposedmethodisprovedtobefeasibleandeffectivebythecaseanal

7、ysisandcomparisonwithothermethod.Finally,theinfluenceofrelatedparametersonthedeci-sionresultisanalyzed.Keywords：groupdecisionmaking;intervalnumber;attributes’weights;decisionmakers’weights;probabilitydegree摘要：针对偏好信息为区间数形式、属性和专家客观权重未知的多属性群决策问题，提出通过属性评价值之间偏离程

8、度的熵值分析和建立目标最小化的非线性规划模型确定属性客观权重，并结合属性主观权重获得属性综合权重；通过灰色关联法分析专家综合评价和群体综合评价之间一致性程度确定专家客观权重，并利用自适应迭代法求得稳定的专家权重；构造了一个新的区间数比较的可能度公式，并基于此公式，给出了方案排序问题的解决方法。通过算例分析及与其它方法对比，验证了所提出方法的可行性和有效性。最后，分析了相关参数对决策结果的影响。关键词