程度上下近似算子的逻辑差运算模型

Model of Logic Difference Operation of Grade Upper Approximation Operator and Grade Lower Approximation Operator

基于程度的逻辑差需求,提出了程度上下近似算子的逻辑差运算模型.在该模型中,研究了程度上下近似算子的逻辑差运算的本质、基本结构与性质,提出了宏观算法与结构算法,进行了算法分析与比较,得到了结构算法比宏观算法更具优势的结论.最后用实例对程度上下近似算子的逻辑差运算模型及其算法进行了说明.程度上下近似算子的逻辑差运算模型,对粗糙集模型的理论发展与量化应用具有意义.

Based on logic difference requirement of grade, a model of logic difference operation of grade upper approximation oper- ator and grade lo,~Ter approximation operator is proposed. The essence, basic structure and properties of the difference operation are studied. Macroscopic algorithm and structural algorithm are proposed and analyzed. It is obtained that structural algorithm has more ad- vantages than macroscopic algorithm. Finally, the new model and its algorithms are illustrated by an example. The new model has sig- nificance for both theoretical improvement and quantitative application of rough set model.