精度与程度的逻辑差近似算子及其性质  

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

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）》2011年第4期443-446,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(11071178和60803028);四川省科技支撑计划项目(09ZC1838);四川省教育厅自然科学青年基金(10ZB004)资助项目

摘　　要：首先研究了程度近似与变精度近似的关系与转化,再利用变精度近似算子与程度近似算子定义了精度与程度的逻辑差近似算子,其具有与精度与程度2个量化指标相关的逻辑含义,最后研究并得到了精度与程度的逻辑差近似算子的一般性质与幂作用性质.精度与程度的逻辑差近似算子部分拓展了程度近似算子与经典近似算子,进而得到了这些已有近似算子幂作用等相应性质.First,the relationship and conversion between variable precision approximation and graded approximation are studied.Then approximation operators of logical difference operation of precision and grade are defined according to variable precision approximation and graded approximation operators,which have logical meanings with respect to precision and grade.Finally,general properties and power action properties of the new approximation operators are obtained.The new approximation operators partially extended graded approximation operators and classical approximation operators,and the corresponding properties of these previous approximation operators are obtained,such as the power action properties of approximation operations.

关 键 词：人工智能 粗糙集理论 变精度粗糙集模型 程度粗糙集模型 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]