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
  • [41] Ideals and fuzzy ideals on residuated lattices
    Yi Liu
    Ya Qin
    Xiaoyan Qin
    Yang Xu
    International Journal of Machine Learning and Cybernetics, 2017, 8 : 239 - 253
  • [42] Rough approximations in non-commutative residuated lattices
    Bakhshi M.
    Izanlou M.
    Afrika Matematika, 2018, 29 (1-2) : 97 - 114
  • [43] Optimistic multigranulation rough set in incomplete information system
    Yao, S., 1600, CESER Publications, Post Box No. 113, Roorkee, 247667, India (45):
  • [44] Diversified multiple attribute group decision-making based on multigranulation soft fuzzy rough set and TODIM method
    Sun, Bingzhen
    Zhang, Meng
    Wang, Ting
    Zhang, Xinrui
    COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (03)
  • [45] Generalized intuitionistic fuzzy filters on residuated lattices
    Liu, Lianzhen
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2015, 28 (04) : 1545 - 1552
  • [46] Intuitionistic fuzzy filter theory on residuated lattices
    Huarong Zhang
    Qingguo Li
    Soft Computing, 2019, 23 : 6777 - 6783
  • [47] Intuitionistic fuzzy filter theory on residuated lattices
    Zhang, Huarong
    Li, Qingguo
    SOFT COMPUTING, 2019, 23 (16) : 6777 - 6783
  • [48] Uncertainty measures in multigranulation with different grades rough set based on dominance relation
    Yu, Jianhang
    Zhang, Xiaoyan
    Zhao, Zhenhua
    Xu, Weihua
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2016, 31 (02) : 1133 - 1144
  • [49] A multigranulation rough set model based on variable precision neighborhood and its applications
    Chen, Jiayue
    Zhu, Ping
    APPLIED INTELLIGENCE, 2023, 53 (21) : 24822 - 24846
  • [50] Some Applications of Fuzzy Sets in Residuated Lattices
    Flaut, Cristina
    Piciu, Dana
    Bercea, Bianca Liana
    AXIOMS, 2024, 13 (04)