决策信息为区间二元语义的双向专家权重确定方法
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摘要
针对区间二元语义多属性群决策中的专家客观赋权问题,提出了一种区间二元语义群决策的双向专家权重确定方法。首先设置专家初始权重,通过专家个体与群体决策矩阵的偏差距离计算专家的偏离权重,再通过专家的直觉模糊熵计算专家的模糊熵权重,结合偏离权重和模糊熵权重,经过多次迭代后得到稳定的专家双向权重。该权重既反映了专家偏好信息与群体偏好信息的一致性,同时也反映了专家对决策问题的了解程度。最后,实例验证了该算法的可行性与有效性。
A method of determining the bidirectional objective weight of expert based on interval two-tuple linguistic group decision making is proposed.On the basis of the subjective weight of expert,the deviation weight of expert is calculated by the differences between each individual expert decision matrix and group expert decision matrix,and fuzzy weight of expert is calculated by intuitionistic fuzzy entropy of each individual expert.In the end,the stable bidirectional objective weight of expert are achieved after several iterations.The weight reflects not only the consistency between the preference information and the group preference information,but also the degree of the expert's understanding of the decision problem.The feasibility and effectiveness of the proposed method are approved by an instance.
A method of determining the bidirectional objective weight of expert based on interval two-tuple linguistic group decision making is proposed.On the basis of the subjective weight of expert,the deviation weight of expert is calculated by the differences between each individual expert decision matrix and group expert decision matrix,and fuzzy weight of expert is calculated by intuitionistic fuzzy entropy of each individual expert.In the end,the stable bidirectional objective weight of expert are achieved after several iterations.The weight reflects not only the consistency between the preference information and the group preference information,but also the degree of the expert's understanding of the decision problem.The feasibility and effectiveness of the proposed method are approved by an instance.
引文
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[14]吴群,吴澎,周元元,等.TLCGPOWA算子及其在多属性群决策中的应用[J].计算机工程与应用,2017,53(3):47-53+63
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[17]弓晓敏,耿秀丽,孙绍荣.基于区间二元语义DEA的纯语义多属性群决策方法[J].统计与决策,2016,17:38—41.
[18]CHEN C T,TAI W S.Measuring the intellectual capita performance based on 2-tuple fuzzy linguistic information[J].Annual Meeting of Apdsi,2005,20:1—9.
[19]赵萌,任嵘嵘,邱菀华.基于直觉模糊熵的专家权重确定方法及其验证[J].控制与决策,2015,30(7):1233—1238.
[20] LIU H,YOU J,YOU X.Evaluating the risk of healthcare failure modes using interval 2-tuple hybrid weighted distance measure[J].Computers&Industrial Engineering,2014,78:249—258.
[21] MONDAL T K,SAMANTA S K.Topology of interval-valued intuitionistic fuzzy sets[J].Fuzzy Sets&Systems,2001,119(3):483—494.
[22]王毅,雷英杰.一种直觉模糊熵的构造方法[J].控制与决策,2007,22(1):1390—1394.
[2] CABRERIZO F J,HERRERA E,PEDRYCZ W.A method based on PSO and granular computing of linguistic information to solve group decision making problems defined in heterogeneous contexts[J].European Journal of Operational Research,2013,230(3):624—633.
[3]张云丰,王勇.基于模糊语言信息的所属性群决策方法及应用[J].科技管理研究,2014,34(19):208—211.
[4]彭勃,叶春明.基于不确定纯语言混合调和平均算子的多属性群决策方法[J].中国管理科学,2015,32(2):131—138.
[5] YOU X Y,YOU J X,LIU H C.,et al.Group multi-criteria supplier selection using an extended VIKOR method with interval 2-tuple linguistic information[J].Expert Systems with Applications,2015,42(4):1906—1916.
[6] SOU W L.Method for uncertain linguistic multiple attribute group decision making based on extended VIKOR[J].Control and Decision,2013,28(9):1431—1435.
[7] HERRERA A F,MARTINEZ L.A 2-tuple fuzzy linguistic representation model for computing with words[J].IEEE Trans on Fuzzy Systems,2000,8(6):746—752.
[8] HERRERA A F,HERRERA E V,MARTINEZ L.A fusion approach for managing multi-granularity linguistic term set in decision making[J].Fuzzy Sets and Systems,2000,114(1):43—58.
[9] HERRERA A F,MARTINEZ L.A model based on 2-tuples linguistic for dealing with multi-granularity hierarchical linguistic contexts in multi-expert decision-making[J].IEEE Trans on Systems,Man and Cybernetics,Part B:Cybernetics,2001,32(2):227—234.
[10]王晓,陈华友,刘兮.基于离差的区间二元语义多属性群决策方法[J].管理学报,2011,8(2):301—305.
[11]吴群,王凤,周礼刚,等.基于区间二元语义偏好关系一致性偏差的群决策方法[J].模糊系统与数学,2017,31(5):55—67.
[12]尤筱玥,尤建新.基于区间二元语义VIKOR的外包供应商选择模型[J].同济大学学报:自然科学版,2017,45(9):1407—1414.
[13]刘兮,孟祥旺,陈华友.区间二元语义信息的C-OWGD算子在多属性群决策中的应用[J].合肥学院学报,2017,34(5):1—11.
[14]吴群,吴澎,周元元,等.TLCGPOWA算子及其在多属性群决策中的应用[J].计算机工程与应用,2017,53(3):47-53+63
[15]张娜,方志耕,朱建军.基于等信息量转换的区间二元语义多属性群决策方法[J].控制与决策,2015,30(3):403—409.
[16]徐选华,孙倩.基于属性多粒度的双层权重大群体决策方法[J].控制与决策,2016,31(10):1909—1914.
[17]弓晓敏,耿秀丽,孙绍荣.基于区间二元语义DEA的纯语义多属性群决策方法[J].统计与决策,2016,17:38—41.
[18]CHEN C T,TAI W S.Measuring the intellectual capita performance based on 2-tuple fuzzy linguistic information[J].Annual Meeting of Apdsi,2005,20:1—9.
[19]赵萌,任嵘嵘,邱菀华.基于直觉模糊熵的专家权重确定方法及其验证[J].控制与决策,2015,30(7):1233—1238.
[20] LIU H,YOU J,YOU X.Evaluating the risk of healthcare failure modes using interval 2-tuple hybrid weighted distance measure[J].Computers&Industrial Engineering,2014,78:249—258.
[21] MONDAL T K,SAMANTA S K.Topology of interval-valued intuitionistic fuzzy sets[J].Fuzzy Sets&Systems,2001,119(3):483—494.
[22]王毅,雷英杰.一种直觉模糊熵的构造方法[J].控制与决策,2007,22(1):1390—1394.