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.

引用

页数：11

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