[1]黄建新,许丽婷,于佩秋,等.模糊β-最小和最大描述的矩阵表示[J].华侨大学学报(自然科学版),2021,42(3):402-409.[doi:10.11830/ISSN.1000-5013.202006049]
　HUANG Jianxin,XU Liting,YU Peiqiu,et al.Matrix Representation of Fuzzy β-Minimal and Maximal Descriptions[J].Journal of Huaqiao University(Natural Science),2021,42(3):402-409.[doi:10.11830/ISSN.1000-5013.202006049]
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模糊β-最小和最大描述的矩阵表示()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第42卷
期数:
2021年第3期
页码:
402-409
栏目:
出版日期:
2021-05-20

文章信息/Info

Title:
Matrix Representation of Fuzzy β-Minimal and Maximal Descriptions
文章编号:
1000-5013(2021)03-0402-08
作者:
黄建新1;  许丽婷2;  于佩秋2;  李进金1; 2
1. 华侨大学 数学科学学院, 福建 泉州 362021;2. 闽南师范大学 数学与统计学院, 福建 漳州 363000
Author(s):
HUANG Jianxin1;  XU Liting2;  YU Peiqiu2;  LI Jinjin1; 2
1. School of Mathematiccal Sciences, Huaqiao University, Quanzhou 362021, China; 2. School of Mathematics Sciences and Statistics, Minnan Normal University, Zhangzhou 363000, China
关键词:
模糊β-覆盖;  模糊β-最小描述;  模糊β-最大描述;  约简;  矩阵
Keywords:
fuzzy β-covering;  fuzzy β-minimal description;  fuzzy β-maximal description;  reduction;  matrix
分类号:
O29
DOI:
10.11830/ISSN.1000-5013.202006049
文献标志码:
A
摘要:
利用矩阵方法研究模糊β-覆盖近似空间中有关模糊β-最小和最大描述的问题,并研究模糊β-覆盖近似空间的约简问题.首先,通过定义的新矩阵计算模糊β-最小和最大描述,并用相关的实例进行验证.其次,定义去除交可约元的约简,提出有效计算约简的一种矩阵方法.最后,研究模糊β-最大描述和去除交可约元产生的约简之间的联系.
Abstract:
A matrix method is used to study the fuzzy β-minimal and maximal descriptions in the fuzzy β-covering approximation spaces, and the reduction of fuzzy β-covering approximation space. Firstly, we calculate fuzzy β-minimal and maximal descriptions by the defined new matrix, and verify them by related examples. Secondly, we define the reduction that removes intersection reducible elements, and propose a matrix method to calculate efficiently the reduction. Finally, we study the relationship between the fuzzy β-maximal descriptions and reductions produced by removing intersection reducible elements.

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备注/Memo

备注/Memo:
收稿日期: 2020-06-29
通信作者: 黄建新(1969-),男,副教授,主要从事粗糙集理论及其应用的研究.E-mail:jxhuang@hqu.edu.cn.
基金项目: 国家自然科学基金资助项目(11871259)
更新日期/Last Update: 2021-05-20