| 兼顾形状-距离的正态云模型综合相似度测算 |
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| 引用本文： | 汪军,朱建军,刘小弟.兼顾形状-距离的正态云模型综合相似度测算[J].系统工程理论与实践,2017,37(3):742-751. |
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| 作者姓名： | 汪军 朱建军 刘小弟 |
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| 作者单位： | 1. 南京航空航天大学 经济与管理学院, 南京 211106;2. 安徽工业大学 数理学院, 马鞍山 243002 |
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| 基金项目： | 国家自然科学基金（71171112，71401064，71502073）；国家社会科学基金（14AZD049） |
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| 摘 要： | 研究了正态云模型相似度的测算方法.提出了正态云模型的形状相似度和距离相似度概念,建立了云模型综合相似度测算框架.结合云模型的数字特征,给出了形状相似度计算公式.研究了云模型距离对相似度的影响关系和数学性质,提出了基于距离的相似度测算定义,并研究了便捷的计算方法.算例说明了算法的可行性.
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| 关 键 词： | 云模型 综合相似度 正态分布 形状相似度 距离相似度 |
| 收稿时间： | 2015-08-24 |
An integrated similarity measure method for normal cloud model based on shape and distance |
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| WANG Jun,ZHU Jianjun,LIU Xiaodi.An integrated similarity measure method for normal cloud model based on shape and distance[J].Systems Engineering —Theory & Practice,2017,37(3):742-751. |
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| Authors: | WANG Jun ZHU Jianjun LIU Xiaodi |
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| Institution: | 1. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China;2. School of Mathematics and Physics, Anhui University of Technology, Ma'anshan 243002, China |
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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. |
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| Keywords: | cloud model similarity normal distribution shape similarity distance similarity |
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