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

WANG Jun, ZHU Jianjun, LIU Xiaodi

Systems Engineering - Theory & Practice ›› 2017, Vol. 37 ›› Issue (3) : 742-751.

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中国科学院数学与系统科学研究院期刊网
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Systems Engineering - Theory & Practice ›› 2017, Vol. 37 ›› Issue (3) : 742-751. DOI: 10.12011/1000-6788(2017)03-0742-10

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

  • WANG Jun1, ZHU Jianjun1, LIU Xiaodi1,2
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Abstract

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.

Key words

cloud model / similarity / normal distribution / shape similarity / distance similarity

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WANG Jun , ZHU Jianjun , LIU Xiaodi. An integrated similarity measure method for normal cloud model based on shape and distance. Systems Engineering - Theory & Practice, 2017, 37(3): 742-751 https://doi.org/10.12011/1000-6788(2017)03-0742-10

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Funding

National Natural Science Foundation of China (71171112, 71401064, 71502073); National Social Science Foundation of China (14AZD049)
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