计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2014年
1期
101-104,120
,共5页
石梦婷%刘文奇%余高锋%李磊
石夢婷%劉文奇%餘高鋒%李磊
석몽정%류문기%여고봉%리뢰
软集合%粗糙集%软粗糙集%包含度%变精度
軟集閤%粗糙集%軟粗糙集%包含度%變精度
연집합%조조집%연조조집%포함도%변정도
soft sets%rough sets%soft rough sets%inclusion degree%variable precision
从集合间的包含程度出发,构造了一种基于包含度的变精度软粗糙集模型。提出带参数的变精度近似算子的定义,得到了它的基本性质和定理,并给出了证明;定义了双精度软粗糙集的近似算子,研究了其性质;讨论了该模型与其他粗糙集模型的关系以及退化条件;举例说明了在信息处理中的应用。
從集閤間的包含程度齣髮,構造瞭一種基于包含度的變精度軟粗糙集模型。提齣帶參數的變精度近似算子的定義,得到瞭它的基本性質和定理,併給齣瞭證明;定義瞭雙精度軟粗糙集的近似算子,研究瞭其性質;討論瞭該模型與其他粗糙集模型的關繫以及退化條件;舉例說明瞭在信息處理中的應用。
종집합간적포함정도출발,구조료일충기우포함도적변정도연조조집모형。제출대삼수적변정도근사산자적정의,득도료타적기본성질화정리,병급출료증명;정의료쌍정도연조조집적근사산자,연구료기성질;토론료해모형여기타조조집모형적관계이급퇴화조건;거례설명료재신식처리중적응용。
According to the inclusion degree between two sets, a variable precision soft rough set based on the inclusion degree theory is constructed. Firstly, variable precision approximation operators with a parameter are defined. Then several important properties and theorems are proposed and proved. Secondly, double variable precision approximation operators with two parameters are presented, whose properties are also studied. Finally, the relation between the above-model and other rough set models is discussed, as well as the degeneration condition. At the same time, an example is illustrated to explain the applications in information processing.