程度上近似算子与变精度下近似算子的差运算的算法与分析  

Algorithms and analysis of difference operation of grade upper approximation operator and variable precision lower approximation operator

作　　者：熊方[1,2] 张贤勇[3] 莫智文[3] 詹惠琴[2] 

机构地区：[1]四川天一学院信息工程系,四川成都610100 [2]电子科技大学自动化工程学院,四川成都610054 [3]四川师范大学数学与软件科学学院,四川成都610068

出　　处：《辽宁工程技术大学学报（自然科学版）》2010年第5期887-890,共4页Journal of Liaoning Technical University (Natural Science)

基　　金：国家自然科学基金资助项目(11071178);国家自然科学基金青年科学基金资助项目(60803028);四川省科技支撑计划资助项目(09ZC1838)

摘　　要：为了构建程度近似算子与变精度近似算子的新运算,探讨其计算算法,提出了程度上近似算子与变精度下近似算子的差运算,提出了宏观算法和微观算法,进行了算法分析与比较,得到了微观算法具有算法空间优势的结论。最后用医疗实例对宏观算法和微观算法进行了分析与说明。该研究对程度粗糙集模型与变精度粗糙集模型的结合与应用具有意义。Grade approximation operator and variable precision approximation operator are important rough set operators. In order to construct new operation of grade approximation operator and variable precision approximation operator,and investigate its algorithm,a difference operation of grade upper approximation operator and variable precision lower approximation operator is proposed in this paper. In addition,the macroscopic algorithm and microscopic algorithm are developed and investigated. It concludes that the microscopic algorithm has advantages in space complexity. A medical case study is presented to demonstrate and discuss the macroscopic algorithm and microscopic algorithm. The study is of significance in the combination and applications of graded rough set model and variable precision rough set model.

关 键 词：人工智能 粗糙集理论 逻辑运算 近似算子 程度粗糙集 变精度粗糙集 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]