广西师范大学学报(自然科学版) ›› 2010, Vol. 28 ›› Issue (3): 93-98.

• • 上一篇    下一篇

覆盖粗糙集上近似的研究

陈文1,2, 祝峰1, 汤建国1   

  1. 1.电子科技大学计算机科学与工程学院,四川成都611731;
    2.福州职业技术学院计算机系,福建福州350108
  • 收稿日期:2010-04-20 出版日期:2010-09-20 发布日期:2023-02-06
  • 通讯作者: 祝峰(1962—),男,江西玉山人,电子科技大学教授,博士。E-mail:willianfengzhu@gmail.com
  • 基金资助:
    国家自然科学基金资助项目(60873077/F020107)

Upper Approximation of Covering Rough Set

CHEN Wen1,2, William ZHU1, TANG Jian-guo1   

  1. 1. School of Computer Science and Engineering,University of Electronic Science and Technology of China, Chengdu Sichuan 611731,China;
    2. Computer Department,Fuzhou Polytechnic,Fuzhou Fujian 350108,China
  • Received:2010-04-20 Online:2010-09-20 Published:2023-02-06

摘要: 分析Pawlak粗糙集上下近似具有的性质,结合上下近似的含义和近似精度,讨论覆盖粗糙集上近似的定义方法,提出覆盖粗糙集最小上近似的概念,对其存在性及唯一性进行分析。最后,讨论最小上近似与其他上近似的关系,并对此作了证明。

关键词: 粗糙集, 覆盖, 上近似, 最小上近似

Abstract: In this paper,the characteristics of lower and upperapproximation basedon Pawlak rough set theory are introduced and analyzed.Combined with approximation-degree,the method of defining upper approximation on covering rough set theory is studied.Then,a new concept named minimal upper approximation is proposed,and its existence and uniqueness are analyzed.In the end,this paper presents and proves the relationship between minimal upper approximation and other upper approximations.

Key words: rough set, covering, upper approximation, minimal upperapproximation

中图分类号: 

  • TP18
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