• Article •    

New determining algorithm for conception membership of one-dimensional normal cloud

YANG Hong-wei, YUE Yong, YANG Xue-qiang   

  1. Department of Technology Support Engineering, Academy of Armored Force Engineering, Beijing 100072, China
  • Online:2012-09-15 Published:2012-09-25

一种新的一维正态云概念隶属度判定算法

杨宏伟岳勇杨学强   

  1. 装甲兵工程学院 技术保障工程系,北京100072

Abstract: Determining conception membership was the key step in field of evaluation and decision-making based on cloud model. Aiming at this problem, a new determining algorithm for conception membership of one-dimensional normal cloud based on cloud chart analysis was proposed. In this algorithm, the conception membership between cloud models was converted into the cloud chart intersectant part under 2D coordinate, and the conception membership was converted into the quantitative description of intersectant part by analyzing cloud model generate graph. The concrete description variables were proposed. Based on 3En rule, the approximate treatment was made for discourse domain of intersectant part, and the solving method for two variables was created. With the vector theory, the effective method to integrate X with Y was obtained, and the conception membership was developed finally. The effectiveness and feasibility of proposed algorithm was verified by application examples.

Key words: cloud model, one-dimensional normal cloud, conception membership, determining algorithms

摘要: 云模型之间的隶属度判定是云模型在评估与决策领域推广应用的关键环节。针对该问题,以一维正态云为研究对象,提出一种基于“云图”视角分析的正态云概念隶属度判定算法。在该算法中,通过分析云模型生成图形,将“云模型之间隶属度”转换为“二维坐标下云图的相交部分”、“隶属度计算”转换为“相交部分的定量化描述”,并论证提出了具体的描述变量;以“3En规则”为基础对相交部分的论域作近似处理,提出了两大描述变量的求解方法;借用向量思想,提出将X变量和Y变量合成的有效方法进而求得最终隶属度。通过实例应用,验证了该算法的可行性与有效性。

关键词: 云模型, 一维正态云, 隶属度, 判定算法

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