计算机工程与应用
計算機工程與應用
계산궤공정여응용
Computer Engineering and Applications
2015年
20期
107-110,152
,共5页
粗糙集%上下近似%矩阵刻画%关系矩阵方程
粗糙集%上下近似%矩陣刻畫%關繫矩陣方程
조조집%상하근사%구진각화%관계구진방정
rough set%upper and lower approximation%matrix description%relationship matrix equation
主要对粗糙集中上下近似的矩阵刻画及应用进行了研究。给出等价关系、一般二元关系、基于邻域的覆盖粗糙集下一种上下近似的新的矩阵刻画；作为应用，提出关系矩阵方程，并对上下近似的逆问题进行了研究，即在已知关系矩阵MR，上（下）近似Rˉ(X )(-R(X ))的情况下反解 X，给出了求解 X 的方法。
主要對粗糙集中上下近似的矩陣刻畫及應用進行瞭研究。給齣等價關繫、一般二元關繫、基于鄰域的覆蓋粗糙集下一種上下近似的新的矩陣刻畫；作為應用，提齣關繫矩陣方程，併對上下近似的逆問題進行瞭研究，即在已知關繫矩陣MR，上（下）近似Rˉ(X )(-R(X ))的情況下反解 X，給齣瞭求解 X 的方法。
주요대조조집중상하근사적구진각화급응용진행료연구。급출등개관계、일반이원관계、기우린역적복개조조집하일충상하근사적신적구진각화；작위응용，제출관계구진방정，병대상하근사적역문제진행료연구，즉재이지관계구진MR，상（하）근사Rˉ(X )(-R(X ))적정황하반해 X，급출료구해 X 적방법。
The matrix description and application of upper and lower approximation of rough set have studied in this paper. The new matrix descriptions of upper and lower approximation under equivalence relations, general binary and covering rough set based on the neighborhood are given. As an application, the inverse problems of upper and lower approximation have solved by using relationship matrix equation, that is, the method to solve X is given if the relationship matrix MR and the upper approximation Rˉ(X )(or lower approximation-R(X ))have known.
