变精度广义双向s-粗集模型

Generalized Two-direction Variable S-rough Sets Model of the Variable Precision

本文通过对基于双向s-粗集和一般二元关系R所提出的广义双向s-粗集的分析,提出了变精度广义双向s-粗集,定义了广义双向s-粗集中的多数包含关系,借助引入误差参数α(0≤α<0.5),给出了变精度广义s-粗集模型及其有关性质定理.通过实例分析并验证了动态系统中由于属性集合的动态迁移特性与变精度参数变化所产生的广义s-粗集的上、下近似,边界和分类近似精度的变化关系.

Based on two-direction s-rough sets and generalized relations of s-rough sets model, this paper presents a research report on the concept of generalized two-direction variable s-rough sets of the variable precision. A majority inclusion relation on generalized two-direction s-rough sets is defined and a generalizedtwo-direction s-rough sets model is given by means of the error parameter α, α∈[0,0.5）proposed in this paper. With the use of the specific example, this paper analyzes and validates the variable relationship and the trend among upper approximation, lower approximation, approximation boundary and classification approximation precision, which are caused by the variation of two-direction dynamic migraiory nature of attribute sets and variable precision parameter. It is held that the model provide a new way and method for the research of general system dynamical approximations.