Constructive methods of rough approximation operators and multigranulation rough sets

被引:114
|
作者
Zhang, Xiaohong [1 ]
Miao, Duoqian [2 ]
Liu, Caihui [3 ]
Le, Meilong [4 ]
机构
[1] Shanghai Maritime Univ, Coll Arts & Sci, Dept Math, Shanghai 201306, Peoples R China
[2] Tongji Univ, Dept Comp Sci & Technol, Shanghai 201804, Peoples R China
[3] Gannan Normal Univ, Dept Math & Comp Sci, Ganzhou 341000, Peoples R China
[4] Nanjing Univ Aeronaut & Astronaut, Coll Civil Aviat, Nanjing 210016, Jiangsu, Peoples R China
基金
中国国家自然科学基金;
关键词
Rough approximation pair; Constructive method; Non-dual multigranulation rough set; Hybrid multigranulation rough set; ALGEBRAIC STRUCTURES; SELECTION;
D O I
10.1016/j.knosys.2015.09.036
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Four kinds of constructive methods of rough approximation operators from existing rough sets are established, and the important conclusion is obtained: some rough sets are essentially direct applications of these constructive methods. Moreover, the new notions of non-dual multigranulation rough sets and hybrid multigranulation rough sets are introduced, and some properties ate investigated. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:114 / 125
页数:12
相关论文
共 50 条
  • [31] Rough Approximation Operators with Hedges
    Chen, Xueyou
    ADVANCES IN COMPUTATIONAL INTELLIGENCE, 2009, 61 : 279 - 288
  • [32] Multigranulation Rough Sets in Hesitant Fuzzy Linguistic Information Systems
    Zhang, Chao
    Li, De-Yu
    Zhai, Yan-Hui
    ROUGH SETS, (IJCRS 2016), 2016, 9920 : 307 - 317
  • [33] A rule-extraction framework under multigranulation rough sets
    Xin Liu
    Yuhua Qian
    Jiye Liang
    International Journal of Machine Learning and Cybernetics, 2014, 5 : 319 - 326
  • [34] Multigranulation rough-fuzzy clustering based on shadowed sets
    Zhou, Jie
    Lai, Zhihui
    Miao, Duoqian
    Gao, Can
    Yue, Xiaodong
    INFORMATION SCIENCES, 2020, 507 : 553 - 573
  • [35] 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
  • [36] Further Study of Multigranulation T-Fuzzy Rough Sets
    Li, Wentao
    Zhang, Xiaoyan
    Sun, Wenxin
    SCIENTIFIC WORLD JOURNAL, 2014,
  • [37] On local multigranulation covering decision-theoretic rough sets
    Li, Mengmeng
    Zhang, Chiping
    Chen, Minghao
    Xu, Weihua
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2021, 40 (06) : 11107 - 11130
  • [38] Tolerance-based multigranulation rough sets in incomplete systems
    Zhang, Zaiyue
    Yang, Xibei
    FRONTIERS OF COMPUTER SCIENCE, 2014, 8 (05) : 753 - 762
  • [39] Covering based multigranulation fuzzy rough sets and corresponding applications
    Jianming Zhan
    Xiaohong Zhang
    Yiyu Yao
    Artificial Intelligence Review, 2020, 53 : 1093 - 1126
  • [40] A rule-extraction framework under multigranulation rough sets
    Liu, Xin
    Qian, Yuhua
    Liang, Jiye
    INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2014, 5 (02) : 319 - 326