Computer Science ›› 2014, Vol. 41 ›› Issue (7): 9-14.doi: 10.11896/j.issn.1002-137X.2014.07.002

Previous Articles     Next Articles

Excursive Measurement and Analysis of Normal Cloud Concept

XU Chang-Lin and WANG Guo-yin   

  • Online:2018-11-14 Published:2018-11-14

Abstract: Cloud model integrates fuzziness and randomness of the qualitative concepts in the natural language,and rea-lizes the mutual transformation between concept’s intension and extension by forward cloud transformation and backward cloud transformation.The normal cloud based on normal distribution and Gaussian membership function has universality.In this paper,an excursive measurement based on outer envelope curve of normal cloud concept was defined by KL divergence,which is a non-symmetric measure of the difference between two probability distributions.Finally,based on the characteristics of human cognition,some simulation experiments were designed to study and analyze the excursion during the process of concepts’ cognition in a calculation way.

Key words: Normal cloud,Forward cloud transformation,Backward cloud transformation,Outer envelope curve,Concept excursion

[1] 张铃,张钹.问题求解理论及应用:商空间粒度计算理论及应用(第2版)[M].北京:清华大学出版社,2007
[2] 崔晓玲.对人类语言相似性和差异性根源的认知思考[J].延边大学学报:社会科学版,2001,34(3):85-87
[3] 李德毅,杜鹢.不确定性人工智能[M].北京:国防工业出版社,2005
[4] 李洪兴,汪培庄.模糊数学[M].北京:国防工业出版社,1994
[5] 李德毅,刘常昱.论正态云模型的普适性[J].中国工程科学,2004,6(8):28-34
[6] Li D Y,Liu C Y,Gan W Y.A new cognitive model:cloud model[J].Int.J.of Intelligent Systems,2009,24(3):357-375
[7] 刘常昱,冯芒,戴晓军,等.基于云X信息的逆向云新算法[J].系统仿真学报,2004,6(11):2417-2420
[8] 王立新.正态云的基本数学性质及云滤波器[J].个人通信,2011
[9] Wang G Y,Xu C L,Zhang Q H,et al.A multi-step backward cloud generator algorithm[C]∥The 8th International Confe-rence on Rough Sets and Current Trends in Computing(RSCTC’12).Chengdu,China,2012:313-322
[10] 许昌林,王国胤.实现稳定双向认知映射的逆向云变换算法[J].模式识别与人工智能,2013,26(7):634-642
[11] Kullback S,Leibler R A.On information and sufficiency[J].The Annals of Mathematical Statistics,1951,22(1):79-86
[12] Budka M,Gabrys B,Musial K.On accuracy of PDF divergence estimators and their applicability to representative data sampling[J].Entropy,2011,13:1229-1266
[13] Moreno P J,Ho P P,Vasconcelos N.A Kullback-Leibler divergence based kernel for SVM classification in multimedia applications[J].Advances in Neural Information Processing Systems,2004,16:1385-1392
[14] De Domenico M,Insolia A.Entropic approach to multiscale clustering analysis[J].Entropy,2012,14:865-879
[15] Contreras-Reyes J E,Arellano-Valle R B.Kullback-Leibler di-vergence measure for multivariate skew-normal distributions[J].Entropy,2012,14:1606-1626
[16] Villena S,Vega M,Babacan S D,et al.Using the Kullback-Leibler divergence to combine image priors in super-resolution image reconstruction[C]∥Proceedings of 2010IEEE 17th International Conference on Image Processing.Hong Kong,China,2010:893-896
[17] Jeffreys H.An invariant form for the prior probabili ty in estimation problems[J].Proceedings of the Royal Society A:Mathematical,Physical and Engineering Science,1946,6(1007):453-461
[18] 王国胤,许昌林,张清华,等.双向认知计算的p阶正态云模型的递归定义及分析[J].计算机学报,2013,36(11):2316-2329
[19] 王甦,汪安圣.认知心理学[M].北京:北京大学出版社,2006
[20] Lindsay P H,Norman D A.Human Information Processing:An Introduction to Psychology[M].New York:Academic Press,1977
[21] 张文修,徐伟华.基于粒计算的认知模型[J].工程数学学报,2007,24(6):957-971

No related articles found!
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!