L-fuzzy multigranulation rough set based on residuated lattices

被引:2
|
作者
Van Thien Le [1 ,2 ]
Hu, Bao Qing [1 ]
机构
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
[2] Univ Pedag, Hochiminh City, Vietnam
关键词
Residuated lattice; L-fuzzy multigranulation rough sets; optimistic-lower/upper set; pessimistic-lower/upper set; Topology; GRANULATION;
D O I
10.3233/IFS-152071
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper studies L-fuzzy multigranulation rough set based on residuted lattices, which is considered as an extension of the classical L-fuzzy rough set. Two models of L-fuzzy optimistic multigrannulation rough set and L-fuzzy pessimistic multigrannulation rough set based on residuted latteices are suggested. Then, we mainly investigate some fundamental properties of the L-fuzzy multigranulation rough set model. With regards to residuated lattices' topology, we study the topological and the lattice structure in the L-fuzzy optimistic multigranulation rough set model and L-fuzzy pessimistic multigranulation rough set model, respectively.
引用
收藏
页码:2821 / 2831
页数:11
相关论文
共 50 条
  • [31] Rough filters based on residuated lattices
    Saeed Rasouli
    Bijan Davvaz
    Knowledge and Information Systems, 2019, 58 : 399 - 424
  • [32] Residuated lattice of L-fuzzy ideals of a ring
    Foka, S. V. Tchoffo
    Tonga, Marcel
    SOFT COMPUTING, 2020, 24 (12) : 8717 - 8724
  • [33] The Basis Algebra and Approximation Operator in L-Fuzzy Rough Set
    Wu Zhengjiang
    Du Weifeng
    Qin Keyun
    ISIP: 2009 INTERNATIONAL SYMPOSIUM ON INFORMATION PROCESSING, PROCEEDINGS, 2009, : 87 - +
  • [34] Residuated lattice of L-fuzzy ideals of a ring
    S. V. Tchoffo Foka
    Marcel Tonga
    Soft Computing, 2020, 24 : 8717 - 8724
  • [35] Rough filters based on residuated lattices
    Rasouli, Saeed
    Davvaz, Bijan
    KNOWLEDGE AND INFORMATION SYSTEMS, 2019, 58 (02) : 399 - 424
  • [36] Axiomatic characterizations of L-fuzzy rough sets by L-fuzzy unions and L-fuzzy intersections
    Wei, Xiaowei
    Pang, Bin
    Mi, Ju-Sheng
    INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2022, 51 (03) : 277 - 312
  • [37] L-fuzzy lattices:: an introduction
    Tepavcevic, A
    Trajkovski, G
    FUZZY SETS AND SYSTEMS, 2001, 123 (02) : 209 - 216
  • [38] On L-fuzzy rough sets
    Radzikowska, AM
    Kerre, EE
    ARTIFICIAL INTELLIGENCE AND SOFT COMPUTING - ICAISC 2004, 2004, 3070 : 526 - 531
  • [39] Intuitionistic L-fuzzy Rough Sets, Intuitionistic L-fuzzy Preorders and Intuitionistic L-fuzzy Topologies
    Zhong, Yu
    Yan, Cong-Hua
    FUZZY INFORMATION AND ENGINEERING, 2016, 8 (03) : 255 - 279
  • [40] A comparative study of variable precision fuzzy rough sets based on residuated lattices
    Wang, Chun Yong
    FUZZY SETS AND SYSTEMS, 2019, 373 : 94 - 115