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
  • [21] Topological Characterizations for Three Covering Approximation Operators
    Huang, Aiping
    Zhu, William
    ROUGH SETS, FUZZY SETS, DATA MINING, AND GRANULAR COMPUTING, 2013, 8170 : 277 - 284
  • [22] On the Topological Structure of Granular Reducts with Covering Rough Sets
    Yang, Tian
    Li, Qingguo
    Zhou, Bilei
    2012 IEEE INTERNATIONAL CONFERENCE ON GRANULAR COMPUTING (GRC 2012), 2012, : 601 - 604
  • [23] A TOPOLOGICAL METHOD TO SIMPLIFY THE REDUCTION WITH COVERING ROUGH SETS
    Yang, Tian
    Li, Qingguo
    Zhou, Bilei
    COMPUTATIONAL INTELLIGENCE: FOUNDATIONS AND APPLICATIONS: PROCEEDINGS OF THE 9TH INTERNATIONAL FLINS CONFERENCE, 2010, 4 : 678 - +
  • [24] Rough spaces on covering based rough sets
    Alharbi, N.
    Aydi, H.
    Ozel, C.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, 12 (02): : 533 - 543
  • [25] On minimization of axiom sets characterizing covering-based approximation operators
    Zhang, Yan-Lan
    Luo, Mao-Kang
    INFORMATION SCIENCES, 2011, 181 (14) : 3032 - 3042
  • [26] Constructive methods of rough approximation operators and multigranulation rough sets
    Zhang, Xiaohong
    Miao, Duoqian
    Liu, Caihui
    Le, Meilong
    KNOWLEDGE-BASED SYSTEMS, 2016, 91 : 114 - 125
  • [27] Characterization of neighborhood operators for covering based rough sets, using duality and adjointness
    Restrepo, Mauricio
    Cornelis, Chris
    Gomez, Jonatan
    PROCEEDINGS OF THE FOURTH INTERNATIONAL WORKSHOP ON KNOWLEDGE DISCOVERY, KNOWLEDGE MANAGEMENT AND DECISION SUPPORT (EUREKA-2013), 2013, 51 : 98 - 104
  • [28] Properties of two types of covering-based rough sets
    Fang, Lian-Hua
    Li, Ke-Dian
    Li, Jin-Jin
    INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2013, 4 (06) : 685 - 691
  • [29] Properties of two types of covering-based rough sets
    Lian-Hua Fang
    Ke-Dian Li
    Jin-Jin Li
    International Journal of Machine Learning and Cybernetics, 2013, 4 : 685 - 691
  • [30] Properties of the second type of covering-based rough sets
    Zhu, William
    2006 IEEE/WIC/ACM INTERNATIONAL CONFERENCE ON WEB INTELLIGENCE AND INTELLIGENT AGENT TECHNOLOGY, WORKSHOPS PROCEEDINGS, 2006, : 494 - 497