The Lower Approximation Number in Covering-Based Rough Set

被引：0
|
作者：
Liu, Hui [1 ]
Zhu, William [1 ]
机构：
[1] Minnan Normal Univ, Lab Granular Comp, Zhangzhou, Peoples R China
来源：
ROUGH SETS AND KNOWLEDGE TECHNOLOGY, RSKT 2015 | 2015年 / 9436卷
关键词：
Covering; Rough set; The lower approximation number; Granular computing; ATTRIBUTE REDUCTION; DECISION SYSTEMS;
D O I：
10.1007/978-3-319-25754-9_20
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Covering-based rough set has attracted much research interest with significant achievements. However, there are few analysis that have been conducted to quantify covering-based rough set. The approximation number is viewed as a quantitative tool for analyzing the covering-based rough set. In this paper, we focus on the lower approximation number. Firstly, we investigate some key properties of the lower approximation number. Secondly, we establish a lattice and two semilattice structures in covering-based rough set with the lower approximation number. Finally, based on the lower approximation number, a pair of matroid approximation operators is constructed. Moreover, we investigate the relationship between the pair of matroid approximation operators and a pair of lattice approximation operators.
引用
收藏
页码：222 / 230
页数：9
相关论文
共 50 条
  • [1] A Covering-Based Pessimistic Multigranulation Rough Set
    Lin, Guoping
    Li, Jinjin
    [J]. BIO-INSPIRED COMPUTING AND APPLICATIONS, 2012, 6840 : 673 - 680
  • [2] Covering-based rough set classification system
    Kumar, S. Senthil
    Inbarani, H. Hannah
    Azar, Ahmad Taher
    Polat, Kemal
    [J]. NEURAL COMPUTING & APPLICATIONS, 2017, 28 (10): : 2879 - 2888
  • [3] Quantitative analysis for covering-based rough sets through the upper approximation number
    Wang, Shiping
    Zhu, Qingxin
    Zhu, William
    Min, Fan
    [J]. INFORMATION SCIENCES, 2013, 220 : 483 - 491
  • [4] Three types of fuzzy covering-based rough set models
    Zhou, Junli
    Xu, Fasheng
    Guan, Yanyong
    Wang, Hongkai
    [J]. FUZZY SETS AND SYSTEMS, 2021, 423 : 122 - 148
  • [5] Covering-based generalized variable precision fuzzy rough set
    Du, Ye
    Yao, Bingxue
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2022, 43 (05) : 6175 - 6187
  • [6] The Matroidal Structures of the Second Type of Covering-Based Rough Set
    Liu, Yanfang
    Zhu, William
    [J]. ROUGH SETS AND KNOWLEDGE TECHNOLOGY, RSKT 2015, 2015, 9436 : 231 - 242
  • [7] Retraction Note: Covering-based rough set classification system
    S. Senthil Kumar
    H. Hannah Inbarani
    Ahmad Taher Azar
    Kemal Polat
    [J]. Neural Computing and Applications, 2024, 36 (19) : 11671 - 11671
  • [8] A Variable Precision Covering-Based Rough Set Model Based on Functions
    Zhu, Yanqing
    Zhu, William
    [J]. SCIENTIFIC WORLD JOURNAL, 2014,
  • [9] Covering Numbers in Covering-Based Rough Sets
    Wang, Shiping
    Min, Fan
    Zhu, William
    [J]. ROUGH SETS, FUZZY SETS, DATA MINING AND GRANULAR COMPUTING, RSFDGRC 2011, 2011, 6743 : 72 - 78
  • [10] Duality, conjugacy and adjointness of approximation operators in covering-based rough sets
    Restrepo, Mauricio
    Cornelis, Chris
    Gomez, Jonatan
    [J]. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2014, 55 (01) : 469 - 485
12345