考虑决策者心理行为的灰色多属性群体决策方法  

Grey multi-attribute group decision making method with consideration of psychological behavior of decision makers

作　　者：罗党 张慧慧 孙德才 LUO Dang;ZHANG Hui-hui;SUN De-cai(School of Mathematics and Statistics,North China University of Water Resources and Electric Power,Zhengzhou 450046,China;School of Management and Economics,North China University of Water Resources and Electric Power,Zhengzhou 450046,China)

机构地区：[1]华北水利水电大学数学与统计学院,郑州450046 [2]华北水利水电大学管理与经济学院,郑州450046

出　　处：《控制与决策》2021年第7期1779-1785,共7页Control and Decision

基　　金：国家自然科学基金项目(51979106);河南省科技攻关计划项目(182102310014);河南省高等学校重点科研项目(18A630030,18A630032);河南省研究生教育优质课程建设项目(HNYJS2015KC02)。

摘　　要：针对决策者在实际决策过程中表现出参照依赖和损失规避的现象,提出一种考虑决策者心理行为的灰色多属性群体决策方法.首先,利用"奖优罚劣"变换算子对原始决策信息进行规范化处理,以充分反映"奖优罚劣"思想;其次,依据决策群体信息,计算两两方案关于属性相比较时收益和损失的优势度,整合得到备选方案的全局优势度;再次,根据极大熵准则和群体意见一致性原则构建决策者权重优化模型,求出备选方案的综合价值并对其排序择优;最后,通过案例分析验证所提方法的可行性、合理性和实用性.Aiming at the fact of reference dependence and loss averse of decision makers in the actual decision making process,a grey multi-attribute group decision making method of considering the psychological behavior of decision makers is proposed.Firstly,to fully reflect the idea of"rewarding the good and punishing the bad",the original decision information is normalized by using the"rewarding the good and punishing the bad"transformation operator.Then,the global priority of alternatives is obtained by calculating the priority of benefit-loss value of each alternative relative to other alternatives about attributes under decision makers.Furthermore,to calculate the comprehensive value of alternatives and rank them,a weight model of decision makers is constructed according to the maximum entropy and group’s consistency.Finally,a case analysis is given to show the feasibility,rationality and practicability of the proposed method.

关 键 词：多属性群体决策 心理行为 区间灰数 TODIM方法 极大熵准则 变换算子 

分 类 号：N941.5[自然科学总论—系统科学] S423[农业科学—植物保护]