摘要
针对概率犹豫模糊元的多个隶属度和其概率各不相同的特点,提出基于概率犹豫模糊熵的多属性决策方法.首先,定义3种新的概率犹豫模糊熵:模糊熵、犹豫熵和总熵,以分别测量概率犹豫模糊元的模糊性、犹豫性和整体不确定性;然后给出3种熵测度的公理化定义和表达式;最后,根据概率犹豫模糊元的3种熵,构建能够解决属性权重完全未知的多属性决策模型,并通过案例和对比分析验证所提模型的有效性和合理性.
A multi-attribute decision-making method based on probabilistic hesitant fuzzy entropy is proposed for the multiple membership degree of probabilistic hesitant fuzzy elements and the characteristics that their probability is different. Firstly, three new probabilistic fuzzy entropies are proposed: The fuzzy entropy, the hesitant entropy and the total entropy which are used to measure the fuzziness, the hesitation and the global uncertainty of the probability hesitant fuzzy elements respectively. Then, the axiomatic definition and expressions of the three entropies are given. Finally, the multi-attribute decision-making model that can solve completely unknown attribute weights is constructed by the three entropy of the probability hesitant fuzzy elements, and the effectiveness and rationality of the model are verified by a case and contrast analysis.
作者
刘玉敏
朱峰
靳琳琳
LIU Yu-min;ZHU Feng;JIN Lin-lin(Business of School,Zhengzhou University,Zhengzhou 450001,China)
出处
《控制与决策》
EI
CSCD
北大核心
2019年第4期861-870,共10页
Control and Decision
基金
国家自然科学基金项目(71672182
71711540309
U1604262)
关键词
概率犹豫模糊熵
概率犹豫模糊元
犹豫熵
总熵
probabilistic hesitant fuzzy entropy
probabilistic hesitant fuzzy element
hesitant entropy
total entropy
