基于分布式偏好信息的不确定性多属性决策方法
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摘要
针对权重存在不确定性问题,基于分布式偏好信息提出一种不确定性多属性决策方法。该方法首先将每个属性下的分布式偏好信息转化为效用值区间,运用区间数距离函数构造相对优势矩阵,然后利用SMAA-2方法计算得到不同决策方案处于不同位置的概率,并利用排序权重得到排序结果。最后,通过算例分析,验证该方法的有效性和可行性。
For the problems of multi-attribute decision making with uncertain information about attribute weights,a new method based on the distributed preference information is proposed.Firstly,the distributed preference information under each attribute is transformed into an interval number,and the dominance matrix is obtained by using interval number distance functions.Then,the probability of different alternatives in different positions is presented in the simulation process on the basis of the SMAA-2 method,and the ranking result is obtained by ranking weight.Finally,analysis of an example demonstrates the effectiveness and order-preserving of the proposed method.
For the problems of multi-attribute decision making with uncertain information about attribute weights,a new method based on the distributed preference information is proposed.Firstly,the distributed preference information under each attribute is transformed into an interval number,and the dominance matrix is obtained by using interval number distance functions.Then,the probability of different alternatives in different positions is presented in the simulation process on the basis of the SMAA-2 method,and the ranking result is obtained by ranking weight.Finally,analysis of an example demonstrates the effectiveness and order-preserving of the proposed method.
引文
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[18] F Y MENG,X H CHEN,Q ZHANG.Multi-attribute decision analysis under a linguistic hesitant fuzzy environment[J].Information Sciences,2014,267(1):287-305.
[2] 唐忠,李文强,李彦.含广义三角模糊数的机械结构可靠度计算方法[J].系统工程理论与实践,2018,38(8):2 155-2 167.
[3] 龚本刚,张孝琪,郭丹丹.基于证据理论-DEA交叉效率的混合型多属性决策方法[J].控制与决策,2016,31(5):943-948.
[4] C FU,D L XU,S L YANG.Distributed preference relations for multiple attribute decision analysis[J].Journal of the Operational Research Society,2016,67(3):457-473.
[5] 付超,侯震.基于多等级方案成对比较的决策方法[J].控制与决策,2015,30(10):1 828-1 834.
[6] 常文军,孙超平,胡鑫.基于分布式偏好关系的多属性决策方法及应用[J].计算机应用研究,2017,34(12):3 693-3 697.
[7] 习扬,樊治平.使用在线评价信息的属性权重确定及方案排序方法[J].控制与决策,2016,31(11):1 998-2 004.
[8] B GONG,D GUO,X ZHANG,et al.An approach for evaluating cleaner production performance in iron and steel enterprises involving competitive relationships[J].Journal of Cleaner Production,2017,142:739-748.
[9] Y M WANG,T M S ELHAG.Evidential reasoning approach for bridge condition assessment[J].Expert Systems with Applications,2008,34(1):689-699.
[10] 孙金辉,林志明,李东.改进的优势度决策法及其排序方法[J].控制与决策,2017,32(4):763-768.
[11] G L YANG,J B YANG,D L XU,et al.A three-stage hybrid approach for weight assignment in MADM[J].Omega,2017,71(C):93-105.
[12] R LAHDELMA,P SALMINEN.SMAA-2:stochastic multicriteria acceptability analysis for group decision making[J].Operations Research,2001,49(3):444-454.
[13] R LéANDRE.Prospect theory and stochastic multicriteria acceptability analysis (SMAA)[J].European Journal of Operational Research,2009,37(5):961-971.
[14] F YANG,S ANG,Q XIA,et al.Ranking DMUs by using interval DEA cross efficiency matrix with acceptability analysis[J].European Journal of Operational Research,2012,223(2):483-488.
[15] S KARABAY,K?SE,ERKAN,et al.Mathematical model and stochastic multi-criteria acceptability analysis for facility location problem[J].Promet-Traffic-Traffico,2016,28(3):245-256.
[16] F ZHU,P A ZHONG,Y N WU,et al.SMAA-based stochastic multi-criteria decision making for reservoir flood control operation[J].Stochastic Environmental Research & Risk Assessment,2016,31(6):1-13.
[17] 王坚强,黄思旷.基于模糊熵和证据推理的语言D数多准则决策方法[J].控制与决策,2016,31(4):673-677.
[18] F Y MENG,X H CHEN,Q ZHANG.Multi-attribute decision analysis under a linguistic hesitant fuzzy environment[J].Information Sciences,2014,267(1):287-305.