Hesitant fuzzy numbers with (α, k)-cuts in compact intervals and applications

被引：21
|
作者：
Ranjbar, Mahdi [1 ]
Miri, Seyed Mohsen [1 ]
Effati, Sohrab [1 ]
机构：
[1] Ferdowsi Univ Mashhad, Dept Appl Math, Mashhad, Razavi Khorasan, Iran
来源：
EXPERT SYSTEMS WITH APPLICATIONS | 2020年 / 151卷
关键词：
Hesitant fuzzy number; (alpha; kappa)-cut; Hesitant fuzzy linear programming; LINEAR-PROGRAMMING PROBLEMS; GROUP DECISION-MAKING; INFORMATION AGGREGATION; SETS; OPTIMIZATION; RANKING; OPERATIONS; PREFERENCE; OPERATORS;
D O I：
10.1016/j.eswa.2020.113363
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, we propose a new definition of hesitant fuzzy numbers (HFNs) and study some essential properties of these numbers. We show (alpha, k)-cuts that were discussed in the recent literature for hesitant fuzzy sets (HFSs), on HFNs have resulted in compact intervals. In the following, we propose a new binary operation on these numbers. It has shown that the outcome of the proposed operation is a HFN. In addition, a new hesitant fuzzy relationship for comparing two HFNs is given. Finally, some applications of these numbers are presented in two examples. For this purpose, we propose a new approach to solve linear programming with hesitant fuzzy parameters. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：11
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