近似空间复合的矩阵表示

发布时间：2018-03-04 00:09

本文选题：近似空间　切入点：复合　出处：《计算机科学与探索》2017年08期 　论文类型：期刊论文

【摘要】：针对近似空间中粗糙集上、下近似的求解问题,根据关系的矩阵表示和矩阵运算具有简便直观的特点,提出了利用矩阵方法对近似空间中粗糙集上、下近似进行计算。通过研究广义近似空间的复合和广义模糊近似空间的复合问题,首先对复合近似空间的算子和原来近似空间中的算子之间的关系作进一步的探讨,并说明了广义模糊近似空间的复合是广义近似空间复合的进一步推广;进而根据关系的矩阵表示和矩阵运算对近似空间中的一些运算以及相应的性质用矩阵进行了表示;最后对近似空间中粗糙集上、下近似的求解问题,也用矩阵方法进行了计算,理论证明结果显示了该方法是可行有效的。
[Abstract]:Aiming at the problem of solving rough sets and lower approximations in approximate space, according to the simple and intuitive characteristics of matrix representation and matrix operation of relation, a matrix method is proposed to solve rough sets in approximate space. By studying the composition of generalized approximate space and the compound problem of generalized fuzzy approximate space, the relationship between the operators of the composite approximation space and the operators in the original approximate space is discussed further. It is shown that the composition of generalized fuzzy approximate space is a further generalization of generalized approximate space, and then some operations in approximate space and corresponding properties are represented by matrix according to matrix representation and matrix operation of relation. Finally, the matrix method is also used to solve the upper and lower approximations of rough sets in approximate space. The theoretical results show that the method is feasible and effective.
【作者单位】：河北师范大学数学与信息科学学院;
【基金】：国家自然科学基金Nos.61573127,61502144,61300121,61472463 河北省自然科学基金No.A2014205157 河北省高校创新团队领军人才培育计划项目No.LJRC022 河北省高等学校自然科学基金No.QN2016133 河北师范大学博士基金No.L2015B01~~
【分类号】：O159

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