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.
The norm Type-2 fuzzy set is defined and its representation based on the structured dement is introduced, and an exact computation method is provided for the centroid of the norm Type-2 fuzzy set. When the secondary membership function can be expressed by the linear representation of structured element, an approximation method is provided for the centroid of the norm Type-2 fuzzy set. The examples of comparing the exact computational results with the approximate results are given, which show that the proposed methods are computationally simple and have a wide rang of applications, and under certain conditions, the approximation solution and the exact solution fit well.
出处
《控制与决策》
EI
CSCD
北大核心
2017年第4期734-740,共7页
Control and Decision
基金
国家自然科学基金项目(61350003)
