[1]李中然,舒兰. 模糊粗糙集的上下近似的矩阵计算[J].计算机技术与发展,2015,25(04):10-12.
　LI Zhong-ran,SHU Lan. Matrix Computation for Upper and Lower Approximations of Fuzzy Rough Sets [J].,2015,25(04):10-12.
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 模糊粗糙集的上下近似的矩阵计算()
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《计算机技术与发展》[ISSN:1006-6977/CN:61-1281/TN]

卷:
25
期数:
2015年04期
页码:
10-12
栏目:
智能、算法、系统工程
出版日期:
2015-04-10

文章信息/Info

Title:
 Matrix Computation for Upper and Lower Approximations of Fuzzy Rough Sets

文章编号:
1673-629X（2015)04-0010-03
作者:
 李中然; 舒兰
 电子科技大学 数学科学学院
Author(s):
 LI Zhong-ran; SHU Lan
关键词:
 ; 模糊粗糙集; 上近似; 下近似; 矩阵
Keywords:
 ; fuzzy rough set; upper approximation; lower approximation; matrix
分类号:
TP18
文献标志码:
A
摘要:
 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。
Abstract:
 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.

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更新日期/Last Update: 2015-06-02