计算机技术与发展
計算機技術與髮展
계산궤기술여발전
COMPUTER TECHNOLOGY AND DEVELOPMENT
2015年
4期
10-12,17
,共4页
模糊粗糙集%上近似%下近似%矩阵
模糊粗糙集%上近似%下近似%矩陣
모호조조집%상근사%하근사%구진
fuzzy rough set%upper approximation%lower approximation%matrix
基于等价关系矩阵和子集的列矩阵，来研究模糊粗糙集模型。首先，定义了等价关系矩阵和列矩阵之间的运算，又提出了模糊粗糙集模型中子集的上、下近似的矩阵表达式，即利用等价关系矩阵和子集的列矩阵之间的运算来表示该子集的上、下近似集，并且证明了矩阵表达式的正确性；然后证明了上、下近似的矩阵表达式的基本性质；最后给出了模糊粗糙集上、下近似集的计算步骤，并用例子进一步说明了该算法的有效性。从而由矩阵角度研究了模糊粗糙集模型。
基于等價關繫矩陣和子集的列矩陣，來研究模糊粗糙集模型。首先，定義瞭等價關繫矩陣和列矩陣之間的運算，又提齣瞭模糊粗糙集模型中子集的上、下近似的矩陣錶達式，即利用等價關繫矩陣和子集的列矩陣之間的運算來錶示該子集的上、下近似集，併且證明瞭矩陣錶達式的正確性；然後證明瞭上、下近似的矩陣錶達式的基本性質；最後給齣瞭模糊粗糙集上、下近似集的計算步驟，併用例子進一步說明瞭該算法的有效性。從而由矩陣角度研究瞭模糊粗糙集模型。
기우등개관계구진화자집적렬구진，래연구모호조조집모형。수선，정의료등개관계구진화렬구진지간적운산，우제출료모호조조집모형중자집적상、하근사적구진표체식，즉이용등개관계구진화자집적렬구진지간적운산래표시해자집적상、하근사집，병차증명료구진표체식적정학성；연후증명료상、하근사적구진표체식적기본성질；최후급출료모호조조집상、하근사집적계산보취，병용례자진일보설명료해산법적유효성。종이유구진각도연구료모호조조집모형。
Study the fuzzy rough set based on equivalent relation matrix and column matrix of subset. Firstly,the operation of equivalent relation matrix and column matrix are defined. A matrix operation formula about upper and lower approximations of the subset in fuzzy rough set is proposed,which means the upper and lower approximations of subset can be derived from the operation between equivalent relation matrix and the column matrix of the subset. The correctness of the matrix operation formula is proved. Then,the basic properties of the matrix operation formula for the upper and lower approximations are proved. Finally,an algorithm about upper and lower approxi-mation by matrix computing is given,and the validity of the proposed algorithm is depicted by an example. The fuzzy rough set is re-searched by matrix.
