计算机科学 ›› 2010, Vol. 37 ›› Issue (11): 230-231.

• 人工智能 • 上一篇    下一篇

粗糙集构成的拓扑空间

乔全喜,秦克云,洪智勇   

  1. (西南交通大学数学系 成都610031);(河南理工大学数学与信息科学学院 焦作454000);(五邑大学计算机学院 江门529020)
  • 出版日期:2018-12-01 发布日期:2018-12-01
  • 基金资助:
    本文受国家自然科学基金项目(批准号:60875034)资助。

Topological Space Based on Rough Sets

QIAO Quan-xi,QIN Ke-yun,HONG Zhi-yong   

  • Online:2018-12-01 Published:2018-12-01

摘要: 在Pawlak近似空间意义下研究粗糙集构成的拓扑空间。讨论了当论域不受限于有限集时粗糙集可以构成一个拓扑空间,并从拓扑空间的分离性上证明了其粗糙拓扑空间是一个正规的拓扑空间。

关键词: 粗糙集,拓扑,拓扑空间,正规空间

Abstract: This paper is dcvotcd to the discussion of topological structure of rough sets in Pawlak approximation space.Topological space based on rough sets on the universe which is not restricted to be finite was investigated and it was proved that the rough topological space is a normal space on separability of topological space.

Key words: Rough set, Topology, Topological space, Normal space

No related articles found!
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!