A note on operations of hesitant fuzzy sets

被引：21
|
作者：
Pei, Zheng [1 ]
Yi, Liangzhong [2 ]
机构：
[1] Xihua Univ, Ctr Radio Adm & Technol Dev, Chengdu 610039, Sichuan, Peoples R China
[2] Sichuan Police Coll, Luzhou 646000, Sichuan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS | 2015年 / 8卷 / 02期
基金：
中国国家自然科学基金;
关键词：
the residuated lattice; the lattice; hesitant fuzzy sets; operations; LINGUISTIC TERM SETS; INFORMATION AGGREGATION; PREFERENCE RELATIONS; OPERATORS; DISTANCE;
D O I：
10.1080/18756891.2015.1001947
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, properties of operations and algebraic structures of hesitant fuzzy sets are investigated. Semilattices of hesitant fuzzy sets with union and intersection are discussed, respectively. By using circle plus and circle times operators, the commutative monoid of hesitant fuzzy sets is provided, moreover, the lattice and distributive lattice of hesitant fuzzy sets are defined on the equivalence class of hesitant fuzzy sets. Based on the distributive lattice of hesitant fuzzy sets, the residuated lattices of hesitant fuzzy sets are constructed by residual implications, which are induced by intersection and circle times, respectively. From the theoretical point of view, algebraic structures of hesitant fuzzy sets are useful for approximate reasoning and decision making to deal with hesitancy of information.
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页码：226 / 239
页数：14
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