Tolerance-based multigranulation rough sets in incomplete systems

被引:0
|
作者
Zaiyue Zhang
Xibei Yang
机构
[1] Jiangsu University of Science and Technology,School of Computer Science and Engineering
[2] Ministry of Education,Key Laboratory of Intelligent Perception and Systems for High
[3] Artificial Intelligence Key Laboratory of Sichuan Province,Dimensional Information (Nanjing University of Science and Technology)
来源
关键词
incomplete information system; maximal consistent block; multigranulation rough sets; tolerance relation;
D O I
暂无
中图分类号
学科分类号
摘要
Presently, the notion of multigranulation has been brought to our attention. In this paper, the multigranulation technique is introduced into incomplete information systems. Both tolerance relations and maximal consistent blocks are used to construct multigranulation rough sets. Not only are the basic properties about these models studied, but also the relationships between different multigranulation rough sets are explored. It is shown that by using maximal consistent blocks, the greater lower approximation and the same upper approximation as from tolerance relations can be obtained. Such a result is consistent with that of a single-granulation framework.
引用
收藏
页码:753 / 762
页数:9
相关论文
共 50 条
  • [31] Topological approach to multigranulation rough sets
    Guoping Lin
    Jiye Liang
    Yuhua Qian
    [J]. International Journal of Machine Learning and Cybernetics, 2014, 5 : 233 - 243
  • [32] Covering based multigranulation fuzzy rough sets and corresponding applications
    Zhan, Jianming
    Zhang, Xiaohong
    Yao, Yiyu
    [J]. ARTIFICIAL INTELLIGENCE REVIEW, 2020, 53 (02) : 1093 - 1126
  • [33] Updating approximations with dynamic objects based on local multigranulation rough sets in ordered information systems
    Li, Wentao
    Xu, Weihua
    Zhang, Xiaoyan
    Zhang, Jia
    [J]. ARTIFICIAL INTELLIGENCE REVIEW, 2022, 55 (03) : 1821 - 1855
  • [34] Local Generalized Multigranulation Variable Precision Tolerance Rough Sets and its Attribute Reduction
    Zhou, Yueli
    Lin, Guoping
    [J]. IEEE ACCESS, 2021, 9 : 147237 - 147249
  • [35] Optimistic multigranulation rough set in incomplete information system
    [J]. Yao, S, 1600, CESER Publications, Post Box No. 113, Roorkee, 247667, India (45):
  • [36] Multigranulation decision-theoretic rough sets
    Qian, Yuhua
    Zhang, Hu
    Sang, Yanli
    Liang, Jiye
    [J]. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2014, 55 (01) : 225 - 237
  • [37] Updating approximations with dynamic objects based on local multigranulation rough sets in ordered information systems
    Wentao Li
    Weihua Xu
    Xiaoyan Zhang
    Jia Zhang
    [J]. Artificial Intelligence Review, 2022, 55 : 1821 - 1855
  • [38] Neighborhood systems-based rough sets in incomplete information system
    Yang, Xibei
    Zhang, Ming
    Dou, Huili
    Yang, Jingyu
    [J]. KNOWLEDGE-BASED SYSTEMS, 2011, 24 (06) : 858 - 867
  • [39] Multigranulation Decision-theoretic Rough Set Based on Incomplete Interval-valued Information Systems
    Xing, Rui-kang
    Li, Cheng-hai
    Zhang, Xin
    Zhao, Fang-zheng
    [J]. 2018 2ND INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS, MODELING AND SIMULATION (AMMS 2018), 2018, 305 : 339 - 347
  • [40] Generalized multigranulation fuzzy rough sets based on upward additive consistency
    Noor Rehman
    Abbas Ali
    [J]. Soft Computing, 2021, 25 : 3377 - 3401