A STUDY ON INTERVAL-VALUED HESITANT FUZZY SET IN RESIDUATED LATTICES

被引：0
|
作者：
Liu, Yi [1 ,2 ,3 ]
Zhu, Hua [3 ]
Xu, Yang [3 ]
机构：
[1] Neijiang Normal Univ, Data Recovery Key Lab Sichuan Prov, 705 Dongtong Rd, Neijiang 641000, Peoples R China
[2] Neijiang Normal Univ, Sch Math & Informat Sci, 705 Dongtong Rd, Neijiang 641000, Peoples R China
[3] Southwest Jiaotong Univ, Intelligent Control Dev Ctr, 111,North Sect 1,2nd Ring Rd, Chengdu 610031, Sichuan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL | 2016年 / 12卷 / 03期
关键词：
Residuated lattice; Interval-valued hesitant fuzzy set; Interval-valued hesitant fuzzy (implicative; positive implicative; MV; regular); filters;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In order to exactly quantify the decision maker's opinions in the real decision making problems, interval-valued hesitant fuzzy set (IVHFS), to permit an element's membership degree to be a set of several possible interval values, was introduced by Chen, Xu and Xia. In this paper, we continue the study on interval-valued hesitant fuzzy set in a residuated lattice and apply the interval-valued hesitant fuzzy set to the filter theory of a general residuated lattice; the notions of interval-valued hesitant fuzzy (implicative, positive implicative, MV, regular) filters are firstly introduced. Consequently, their properties, and sonic equivalent characterizations of these interval-valued hesitant fuzzy filters are derived. Finally, the relations among these interval-valued hesitant fuzzy filters are investigated.
引用
收藏
页码：707 / 722
页数：16
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