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
  • [41] On the topological properties of generalized rough sets
    Yu, Hai
    Zhan, Wan-rong
    INFORMATION SCIENCES, 2014, 263 : 141 - 152
  • [42] Quantitative analysis for covering-based rough sets through the upper approximation number
    Wang, Shiping
    Zhu, Qingxin
    Zhu, William
    Min, Fan
    INFORMATION SCIENCES, 2013, 220 : 483 - 491
  • [43] Metric-based L-fuzzy rough sets: Approximation operators and definable sets
    Yao, Wei
    She, Yanhong
    Lu, Ling-Xia
    KNOWLEDGE-BASED SYSTEMS, 2019, 163 : 91 - 102
  • [44] Some More Properties of Covering Based Pessimistic Multigranular Rough Sets
    Tripathy, B. K.
    Govindarajulu, K.
    INFORMATION SYSTEMS DESIGN AND INTELLIGENT APPLICATIONS, VOL 1, 2015, 339 : 555 - 564
  • [45] Topological Properties of Incomplete Multigranulation Based on Rough Fuzzy Sets
    Tripathy, B. K.
    Nagaraju, M.
    GLOBAL TRENDS IN INFORMATION SYSTEMS AND SOFTWARE APPLICATIONS, PT 2, 2012, 270 : 92 - 102
  • [46] On Algebraic and Topological Properties of Neighbourhood Based Multigranular Rough Sets
    Tripathy, B. K.
    Mitra, Anirban
    2014 INTERNATIONAL CONFERENCE ON COMPUTER COMMUNICATION AND INFORMATICS (ICCCI), 2014,
  • [47] On covering rough sets
    Qin, Keyun
    Gao, Yan
    Pei, Zheng
    ROUGH SETS AND KNOWLEDGE TECHNOLOGY, PROCEEDINGS, 2007, 4481 : 34 - +
  • [48] Approximation of sets based on partial covering
    Csajbok, Zoltan
    THEORETICAL COMPUTER SCIENCE, 2011, 412 (42) : 5820 - 5833
  • [49] On some types of covering rough sets from topological points of view
    Zhao, Zhengang
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2016, 68 : 1 - 14
  • [50] Covering Rough Sets in Terms of Topological Bi-Neighbourhoods and Their Applications
    Abushaaban, Amal T. T.
    El Atik, Abdelfattah A. A.
    Embaby, O. A.
    JOURNAL OF MATHEMATICS, 2023, 2023