An integrated similarity measure method for normal cloud model based on shape and distance

被引:0
作者
Wang J. [1 ]
Zhu J. [1 ]
Liu X. [1 ,2 ]
机构
[1] College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing
[2] School of Mathematics and Physics, Anhui University of Technology, Ma'anshan
来源
Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice | 2017年 / 37卷 / 03期
基金
中国国家自然科学基金;
关键词
Cloud model; Distance similarity; Normal distribution; Shape similarity; Similarity;
D O I
10.12011/1000-6788(2017)03-0742-10
中图分类号
学科分类号
摘要
A method for calculating the similarity of normal cloud model is studied. The concept of shape similarity and distance similarity of normal cloud model is proposed, the framework of integrated similarity measurement of cloud model is established. The shape similarity of normal cloud model calculation formula is given combined with digital feature of the cloud model. The influence relation and mathematical properties of distance between two cloud models on similarity are studied, the definition of similarity measure based on distance is proposed and a convenient computing method is studied. The example illustrates the feasibility of the algorithm. © 2017, Editorial Board of Journal of Systems Engineering Society of China. All right reserved.
引用
收藏
页码:742 / 751
页数:9
相关论文
共 25 条
[1]  
Sheng Z., Xie S.Q., Pan C.Y., Probability Theory and Mathematical Statistics, pp. 1-127, (2008)
[2]  
Zadeh L.A., Fuzzy sets, Information and Control, 8, 3, pp. 338-353, (1965)
[3]  
Pawlak Z., Rough sets, International Journal of Computer Information Sciences, 11, 5, pp. 341-356, (1982)
[4]  
Li D.Y., Meng H.J., Shi X.M., Membership clouds and membership cloud generators, Journal of Computer Research and Development, 32, 6, pp. 15-20, (1995)
[5]  
Li D., Cheung D., Shi X., Et al., Uncertainty reasoning based on cloud models in controllers, Computers Mathematics with Applications, 35, 3, pp. 99-123, (1998)
[6]  
Li D.Y., Han J.W., Shi X.M., Knowledge representation and discovery based on linguistic atoms, Knowledgebased System, 10, 7, pp. 431-440, (1998)
[7]  
Li D.Y., Liu C.Y., Study on the universality of the normal cloud model, Engineering Science, 6, 8, pp. 28-34, (2004)
[8]  
Li H.L., Guo C.H., Piecewise aggregate approximation method based on cloud model for time series, Control and Decision, 26, 10, pp. 1525-1529, (2011)
[9]  
Du X.Y., Yin Q.J., Huang K.D., Et al., Transformation between qualitative variables and quantity based on cloud models and its application, Systems Engineering and Electronics, 30, 4, pp. 772-776, (2008)
[10]  
Liu J., Deng G.S., Na R.S., Analysis and design of Bayesian feedback cloud model, Systems Engineering- Theory & Practice, 28, 7, pp. 138-143, (2008)