基于结构元理论的正规Type-2模糊集的质心
发布时间：2018-11-07 10:31
【摘要】：定义正规Type-2模糊集,并利用结构元理论给出正规Type-2模糊集的结构元表示和正规Type-2模糊集质心计算的确切步骤,得出正规Type-2模糊集质心的精确解.在正规Type-2模糊集的次隶属函数可以通过结构元线性表示时,给出其质心计算的近似结果.实例比较结果表明,所提出的方法计算简便,适用范围广,且在一定条件下近似解与精确解的拟合较好.
[Abstract]:The normal Type-2 fuzzy set is defined, and the exact steps of the normal Type-2 fuzzy set representation and the normal Type-2 fuzzy set centroid calculation are given by using the structure element theory, and the exact solution of the normal Type-2 fuzzy set centroid is obtained. When the submembership function of the normal Type-2 fuzzy set can be expressed by the linear representation of the structure element, the approximate results of the centroid calculation are given. The results show that the proposed method is simple in calculation and wide in application, and the approximate solution fits well with the exact solution under certain conditions.
【作者单位】： 辽宁工程技术大学理学院;河南理工大学数信学院;
【基金】：国家自然科学基金项目(61350003)
【分类号】：O159
本文编号：2316079
[Abstract]:The normal Type-2 fuzzy set is defined, and the exact steps of the normal Type-2 fuzzy set representation and the normal Type-2 fuzzy set centroid calculation are given by using the structure element theory, and the exact solution of the normal Type-2 fuzzy set centroid is obtained. When the submembership function of the normal Type-2 fuzzy set can be expressed by the linear representation of the structure element, the approximate results of the centroid calculation are given. The results show that the proposed method is simple in calculation and wide in application, and the approximate solution fits well with the exact solution under certain conditions.
【作者单位】： 辽宁工程技术大学理学院;河南理工大学数信学院;
【基金】：国家自然科学基金项目(61350003)
【分类号】：O159
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