程度下近似算子与变精度上近似算子的差运算模型  

Difference Operation Model of Grade Lower Approximation Operator and Variable Precision Upper Approximation Operator

作　　者：熊方[1] 张贤勇[2] 莫智文[2] 詹惠琴[3] 

机构地区：[1]四川天一学院信息工程系,四川成都610100 [2]四川师范大学数学与软件科学学院,四川成都610068 [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》2013年第3期136-142,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(61203285,11071178);四川省教育厅青年重点项目(12ZA138)

摘　　要：目的是探讨精度与程度的复合,建立并研究新的粗糙集拓展模型.基于程度与精度的逻辑差需求,提出了程度下近似算子与变精度上近似算子的差运算模型,得到了程度下近似算子与变精度上近似算子的差运算的宏观本质、精确描述与基本性质.并用一个医疗实例说明了模型的意义和应用.程度下近似算子与变精度上近似算子的差运算模型,部分的拓展了程度粗糙集模型和经典粗糙集模型.This paper aims to study combination between precision and grade, construct and study new extended rough set model. Based on logical difference requirement of grade and precision, difference operation model of grade lower approximation operator and vari- able precision upper approximation operator is proposed, and its macroscopic essence, precise description, basic properties are all.obtained. A medical example is given to explain the sig- nificance and application of the new model. The new model has partially extended the graded rough set model and classical rough set model.

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

分 类 号：O159[理学—数学]