摘要
针对专家决策带有犹豫性和偏好性的多属性决策问题,提出一种基于概率犹豫直觉模糊熵和证据推理的决策方法。在概率犹豫模糊集和犹豫直觉模糊集的基础上,考虑专家偏好,提出一种新的概率犹豫直觉模糊集,对混合型属性的决策信息进行统一描述;基于犹豫熵和直觉模糊熵,提出概率犹豫直觉模糊熵对决策信息的犹豫性和不确定性进行测度,并确定属性权重;采用证据推理算法进行属性信息的集结,并基于效用理论对方案进行排序。通过算例对比分析验证了所提方法得到的决策结果更为科学、准确。
For the multi-attribute decision making problems with hesitation and preference in expert decision-making,a decision making method based on probabilistic hesitant-intuitionistic fuzzy entropy and evidential reasoning is proposed.Based on the probabilistic hesitant fuzzy set and the hesitant intuitionistic fuzzy set,a new probabilistic hesitant-intuitionistic fuzzy set is proposed by considering the preference of experts and is used to describe uniformly the decision making information of the mixed attribute.Based on the hesitant entropy and the intuitionistic fuzzy entropy,the probabilistic hesitance-intuitionistic fuzzy entropy is proposed to measure the hesitance and uncertainty of decision making information,and it is used to determine the weight of each attribute.The evidential reasoning algorithm is used to aggregate the attribute information,and the schemes are arranged based on the utility theory.The comparison results of the numerical example analysis verify that the decision making results obtained by the proposed method are more scientific and accurate.
作者
李岩
陈云翔
罗承昆
蔡忠义
LI Yan;CHEN Yunxiang;LUO Chengkun;CAI Zhongyi(Equipment Management and Unmanned Aerial Vehicle Engineering College, Air Force Engineering University, Xi’an 710051, China)
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2020年第5期1116-1123,共8页
Systems Engineering and Electronics
基金
中国博士后科学基金(2017M623515)资助课题。
关键词
多属性决策
概率犹豫直觉模糊集
概率犹豫直觉模糊熵
证据推理
multi-attribute decision making
probabilistic hesitant-intuitionistic fuzzy set
probabilistic hesitant-intuitionistic fuzzy entropy
evidential reasoning
