程度与精度的逻辑差近似算子的性质  

Properties of Approximation Operators of Logical Difference Operation of Grade and Precision

作　　者：张贤勇[1] 熊方[2,3] 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610068 [2]四川天一学院信息工程系,四川成都610100 [3]电子科技大学自动化工程学院,四川成都610054

出　　处：《数学的实践与认识》2011年第18期209-213,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11071178);国家自然科学基金青年科学基金(60803028);四川省科技支撑计划(09ZC1838);四川省教育厅青年基金(10ZB004)

摘　　要：目的是结合精度与程度,探索新的粗糙集拓展模型.从程度与精度的逻辑差运算出发,定义了程度与精度的逻辑差粗糙集模型.模型中,通过变精度近似与程度近似的转化公式,研究了程度与精度的逻辑差近似算子,并得到了近似算子的幂作用等性质.用程度与精度的逻辑差粗糙集模型拓展了程度粗糙集模型、经典粗糙集模型,并在这些模型中得到了近似算子幂作用的相应性质.This paper aims to combine precision and grade, and explore new extending rough set model. Based on logical difference operation of grade and precision, rough set model of logical difference operation of grade and precision is defined. In the new model, by transformation formulas between variable precision approximations and graded approximations, approximation operators of logical difference operation of grade and precision are studied, and properties of power action of approximation operators are obtained. The new model has ex- tended graded rough set model and classical rough set model, and similar properties of power action of approximation operators are obtained in these models.

关 键 词：人工智能 粗糙集模型 精度 变精度粗糙集 程度 程度粗糙集 近似算子 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]