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

作　　者：张贤勇[1] 莫智文[1] 

机构地区：[1]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2012年第5期577-580,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(61203285;11071178);四川省科技支撑计划项目(09ZC1838);四川省教育厅青年基金(12ZA138)资助项目

摘　　要：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.

关 键 词：人工智能 粗糙集模型 程度粗糙集 程度近似算子 结构算法 宏观算法 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]