摘要
针对现有云模型相似性度量方法计算复杂度高、结果不稳定、适用性有限等问题,提出了一种基于相互隶属度的云模型相似性度量方法.依据云模型期望曲线以公共面积与自身面积之比定义云模型之间的隶属度,进而利用相互隶属度计算云模型之间的相似度.讨论了不同交点及半云情形下相应面积的计算方法,并给出了相似度的计算公式及性质证明.仿真实验表明,该方法能够在多种情形下合理地度量云模型的相似性,并且具有较高的结果准确度和较低的计算复杂度,基于云模型的评估实例进一步验证了该方法的有效性.
A method of similarity measurement between cloud models was proposed based on mutual membership degree to solve the problems existing in current approaches,such as high consumption,unstable conclusion and limited applicability.Firstly,the membership degree of cloud models was defined with the ratio of common cloud area to itself cloud area according to expectation curve.Then,the similarity between cloud models was calculated with the mutual membership degree.Finally,the calculation formula and properties of similarity were produced,considering the calculation of the area with different intersection points and half cloud.Simulation results show that the proposed method can achieve rational similarity measurement between cloud models with high accuracy and low consumption in different situations.And the effectiveness of the method was further verified based on cloud model with an evaluation example.
作者
付凯
夏靖波
韦泽鲲
贾延青
FU Kai;XIA Jing-bo;WEI Ze-kun;JIA Yan-qing(Information and Navigation College, Air Force Engineering University, Xi＇ an, Shaanxi 710077, China;Unit 95246, Nanning, Guangxi 530003, China;Zhuhai College, Jilin University, Zhuhai, Guangdong 519041, China;Unit 93582, Huairen, Shanxi 038301, China)
出处
《北京理工大学学报》
EI
CAS
CSCD
北大核心
2018年第4期405-411,共7页
Transactions of Beijing Institute of Technology
基金
航空科学基金资助项目(20141996018)
陕西省自然科学基础研究计划资助项目(2012JZ8005)
关键词
云模型
相似性
隶属度
期望曲线
cloud model
similarity
membership degree
expectation curve
