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针对信息系统属性值是直觉模糊集的情况提出一种新的属性约简算法:首先定义各个属性值之间贴近度函数,计算出各个属性值的贴近度矩阵,定义了直觉模糊集信息系统的可区分矩阵,给出了其约简的判定定理,利用模糊聚类中的平方法求出其可区分矩阵的传递闭包,将其转化为等价矩阵,给定一个主观水平对其进行模糊聚类,将其转化为具有等价关系的信息系统并且进行约简,从而得到直觉模糊集信息系统的核心属性。给出了该算法的复杂度。最后通过一个算例表明这种方法的有效性和合理性。
Aiming at the condition that the information system attribute value is intuitionistic fuzzy set, a new attribute reduction algorithm is proposed. Firstly, the closeness function of each attribute value is defined, and the closeness matrix of each attribute value is calculated, and the intuitionistic fuzzy set information system The discriminant matrix can be distinguished and its reduction theorem is given. The transitive closure of its distinguishable matrix is obtained by using the flat method in fuzzy clustering, which is transformed into an equivalent matrix, given a subjective level to obfuscate it Clustering, transforming it into an information system with equivalent relationship and reducing it, so as to obtain the core attributes of the intuitionistic fuzzy set information system. The complexity of this algorithm is given. Finally, a numerical example shows the validity and rationality of this method.