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
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