考虑风险态度的区间值非加性BWM共识模型
Consensus model for interval-value non-additive BWM considering risk attitude
肖婧梅 1蔡玫 1高宇 1周坤1
作者信息
- 1. 南京信息工程大学管理工程学院,南京 210044
- 折叠
摘要
针对属性权重未知,且考虑决策成员风险态度和属性关联关系的多属性决策问题,构建一种基于非加性最优最劣方法(BWM)的群体共识模型.首先,为处理不确定环境中的属性关联问题,提出区间值非加性BWM方法,该方法采用区间值刻画专家关于属性重要性的成对比较结果,以获取个体偏好下的属性重要性指数(权重),扩展了Shapley值的表示形式;其次,通过构建非加性BWM共识模型将个体偏好下的属性重要性指数转化为群体共识的属性重要性指数,在共识达成的过程中,利用隶属度函数度量决策成员的风险态度效用水平,并在一定预算限制下,探索决策成员的风险态度对群体共识的属性重要性指数及共识效用水平的影响;最后,通过案例分析验证模型的可行性和有效性.
Abstract
In the process of determining the weight of attributes,the risk attitudes of group members may differ,and interactions may exist among attributes in multi-attribute decision-making problems.To solve these issues,a group consensus based on the non-additive best and worst method(BWM)is constructed.First,considering attribute interactions in uncertain environment,an interval-value non-additive BWM is proposed,which characterizes the uncertain preference of expert's pairwise comparison of attributes by interval numbers to obtain the individual interval-valued importance index(weight)of attributes.Then,the non-additive BWM consensus model is constructed to convert the individual importance index of attributes into the consensual importance index.In the consensus reaching process,the membership function is used to measure the utility level of their risk attitudes,so as to explore the impact of group members'risk attitudes on the attributes consensual importance index and the consensus utility level under the pre-given budget constraint.Finally,the feasibility and validity of the model are verified by a case study.
关键词
非加性BWM/属性关联/风险态度/共识模型/共识效用水平/区间值偏好关系Key words
non-additive BWM/attribute interaction/risk attitude/consensus model/consensus utility level/interval-valued preference relation引用本文复制引用
基金项目
国家自然科学基金(71871121)
国家自然科学基金(72074119)
未来网络科研基金(FNSRFP-2021-YB-19)
出版年
2024
NETL
NSTL
万方数据