基于软集的粗糙集模型及实例分析

Rough Set Model Based on Soft Set and Its Example Analysis

由于传统粗糙集缺乏必要的参数集描述,借助软集合理论可以实现对目标集合含参数的粗糙近似,文中将软集合推广到粗糙近似空间,建立了基于软集合的广义粗糙集模型。首先通过软集合二元组中的映射定义了软近似空间中的粗糙近似算子;然后给出了近似算子满足的若干性质及定理,并给出了证明;随后根据软集合的矩阵存储的性质,在二元粗糙近似方法的基础上得到了较为简便的模型算法;最后将模型应用到实际医学诊疗系统中,对某些症状复杂的疾病得到了理想的粗糙近似结果,也为决策者提供了有价值的信息。

Due to the lack of necessary parameter set,generalized rough sets model based on the soft set is proposed to extend the soft set in rough approximate space by rough set theory for approximation to the goal set. Firstly,the rough approximate operators are defined via the mapping of pair in the soft set. Secondly,several important properties and theorems are presented and proved as well. Next,based on the dual rough approximate method,a simple model algorithm is obtained by the matrix storing of soft set. Finally,the model which is es-tablished is applied in the real medical diagnosis,providing some valuable information for decision maker. Meanwhile,obtain a feasible result.