基于决策者信任水平和组合赋权的不完全偏好复杂大群体应急决策方法
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摘要
针对属性权重完全未知且专家偏好出现残缺值的复杂大群体应急决策问题,提出了一种新的决策方法。首先,设计了一套基于决策者信任水平的残缺值填充机制,对缺失的偏好信息进行补充。然后,将各方案的大群体偏好信息进行聚类,基于方案信息熵和群体偏好冲突水平构建组合赋权方法,对属性权重进行测算,进而得到各个方案的综合评价值。最后对该方法进行了实例验证,验证结果表明本文提出的方法具有良好的可行性和有效性。
For a complex large group decision-making problem: attribute weights are known completely and expert preference information is incomplete, a new decision approach is proposed. Firstly, a filling mechanism of incomplete values based on trust degree of decision makers is designed, which is used to add the missing preference information. Secondly, the large group preference information for each alternative is clustered, a combination weighting method based on information entropy of alternative and group preference conflict degree is constructed, which is used to calculate attribute weights, and then the comprehensive evaluation value for each alternative is presented. Finally, an example is given to illustrate this method, and the validation results demonstrate the good feasibility and validity of proposed method.
For a complex large group decision-making problem: attribute weights are known completely and expert preference information is incomplete, a new decision approach is proposed. Firstly, a filling mechanism of incomplete values based on trust degree of decision makers is designed, which is used to add the missing preference information. Secondly, the large group preference information for each alternative is clustered, a combination weighting method based on information entropy of alternative and group preference conflict degree is constructed, which is used to calculate attribute weights, and then the comprehensive evaluation value for each alternative is presented. Finally, an example is given to illustrate this method, and the validation results demonstrate the good feasibility and validity of proposed method.
引文
[1] 杨继君,曾子轩.基于态势预测的非常规突发事件应急决策模型构建[J].统计与决策,2018,33(18):43- 47.
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[3] 徐选华著.面向特大自然灾害复杂大群体决策模型及应用[M].北京,科学出版社,2012.19-33.
[4] Qu J H,Meng X L,You H.Multi-stage ranking of emergency technology alternatives for water source pollution accidents using a fuzzy group decision making tool[J].Journal of Hazardous Materials,2016,310(5):68- 81.
[5] Xu X H,Cai C G,Chen X H,et al.A multi-attribute large group emergency decision making method based on group preference consistency of generalized interval-valued trapezoidal fuzzy numbers[J].Journal of Systems Science and Systems Engineering,2015,24(2):211-228.
[6] 王翯华,杨萍,朱建军,等.基于语言变量的不完全文本评语的评价模型[J].系统工程与电子技术,2013,35(12):2545-2551.
[7] 刘卫锋,周永卫.基于残缺互补判断矩阵的一种群决策模型[J].运筹与管理,2013,22(1):54-58.
[8] 张细香,方宝红,雷静,等.基于残缺二元语义判断矩阵的群体决策方法[J].东华大学学报(自然科学版),2009,35(1):98-102.
[9] Yeh C T.A note on trapezoidal approximation of fuzzy numbers[J].Fuzzy Sets and Systems,2007,158:747-754.
[10] Coroianu L.Best Lipschitz constant of the trapezoidal approximation operator preserving the expected interval[J].Fuzzy Sets and Systems,2011,165:81-97.
[11] Wang Y J,Lee H S.The revised method of ranking fuzzy numbers with an area between the centroid and original points[J].Computers & Mathematics with Applications,2008,55(9):2033-2042.
[12] Wang Y M,Yang J B,Xu D L.On the centroids of fuzzy numbers[J].Fuzzy Sets and Systems,2006,157(7):919-926.
[2] 陈孝国,母丽华,杜红,等.煤矿突发事件应急救援的群决策方法[J].灾害学,2015,30(1):167-180.
[3] 徐选华著.面向特大自然灾害复杂大群体决策模型及应用[M].北京,科学出版社,2012.19-33.
[4] Qu J H,Meng X L,You H.Multi-stage ranking of emergency technology alternatives for water source pollution accidents using a fuzzy group decision making tool[J].Journal of Hazardous Materials,2016,310(5):68- 81.
[5] Xu X H,Cai C G,Chen X H,et al.A multi-attribute large group emergency decision making method based on group preference consistency of generalized interval-valued trapezoidal fuzzy numbers[J].Journal of Systems Science and Systems Engineering,2015,24(2):211-228.
[6] 王翯华,杨萍,朱建军,等.基于语言变量的不完全文本评语的评价模型[J].系统工程与电子技术,2013,35(12):2545-2551.
[7] 刘卫锋,周永卫.基于残缺互补判断矩阵的一种群决策模型[J].运筹与管理,2013,22(1):54-58.
[8] 张细香,方宝红,雷静,等.基于残缺二元语义判断矩阵的群体决策方法[J].东华大学学报(自然科学版),2009,35(1):98-102.
[9] Yeh C T.A note on trapezoidal approximation of fuzzy numbers[J].Fuzzy Sets and Systems,2007,158:747-754.
[10] Coroianu L.Best Lipschitz constant of the trapezoidal approximation operator preserving the expected interval[J].Fuzzy Sets and Systems,2011,165:81-97.
[11] Wang Y J,Lee H S.The revised method of ranking fuzzy numbers with an area between the centroid and original points[J].Computers & Mathematics with Applications,2008,55(9):2033-2042.
[12] Wang Y M,Yang J B,Xu D L.On the centroids of fuzzy numbers[J].Fuzzy Sets and Systems,2006,157(7):919-926.