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

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2016年 / 30卷 / 05期

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

页码：2821 / 2831

页数：11

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