Topological Properties for Approximation Operators in Covering Based Rough Sets

被引:2
|
作者
Restrepo, Mauricio [1 ]
Gomez, Jonatan [2 ]
机构
[1] Univ Mil Nueva Granada, Bogota, Colombia
[2] Univ Nacl Colombia, Bogota, Colombia
关键词
Covering rough sets; Approximation operators; Topological closure; REDUCTION;
D O I
10.1007/978-3-319-25783-9_11
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We investigate properties of approximation operators being closure and topological closure in a framework of sixteen pairs of dual approximation operators, for the study of covering based rough sets. We extended previous results about approximation operators related with closure operators.
引用
收藏
页码:112 / 123
页数:12
相关论文
共 50 条
  • [1] Topological properties in covering-based rough sets
    Zhu, William
    Wang, Fei-Yue
    FOURTH INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, VOL 1, PROCEEDINGS, 2007, : 289 - +
  • [2] Partial order relation for approximation operators in covering based rough sets
    Restrepo, Mauricio
    Cornelis, Chris
    Gomez, Jonatan
    INFORMATION SCIENCES, 2014, 284 : 44 - 59
  • [3] Approximation Operators in Covering Based Rough Sets from Submodular Functions
    Restrepo, Mauricio
    ROUGH SETS, 2017, 10313 : 154 - 164
  • [4] Duality, conjugacy and adjointness of approximation operators in covering-based rough sets
    Restrepo, Mauricio
    Cornelis, Chris
    Gomez, Jonatan
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2014, 55 (01) : 469 - 485
  • [5] Notes on covering-based rough sets from topological point of view: Relationships with general framework of dual approximation operators
    D'eer, Lynn
    Cornelis, Chris
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2017, 88 : 295 - 305
  • [6] Neighborhood operators for covering-based rough sets
    D'eer, Lynn
    Restrepo, Mauricio
    Cornelis, Chris
    Gomez, Jonatan
    INFORMATION SCIENCES, 2016, 336 : 21 - 44
  • [7] Relational Perspectives on Covering Based Rough Approximation Operators
    Chen, Wan-Li
    2012 INTERNATIONAL CONFERENCE ON INDUSTRIAL CONTROL AND ELECTRONICS ENGINEERING (ICICEE), 2012, : 668 - 671
  • [8] Rough approximation operators in covering approximation spaces
    Li, Tong-Jun
    Rough Sets and Current Trends in Computing, Proceedings, 2006, 4259 : 174 - 182
  • [9] Topological approaches to covering rough sets
    Zhu, William
    INFORMATION SCIENCES, 2007, 177 (06) : 1499 - 1508
  • [10] Covering soft rough sets and its topological properties with application
    Atef, Mohammed
    Nada, Shokry
    Nawar, Ashraf
    SOFT COMPUTING, 2023, 27 (08) : 4451 - 4461