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

被引：24
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
收藏
页数：11
相关论文
共 59 条
[1]   Necessary and possible hesitant fuzzy sets: A novel model for group decision making [J].
Alcantud, Jose Carlos R. ;
Giarlotta, Alfio .
INFORMATION FUSION, 2019, 46 :63-76
[2]   Decomposition theorems and extension principles for hesitant fuzzy sets [J].
Alcantud, Jose Carlos R. ;
Torra, Vicenc .
INFORMATION FUSION, 2018, 41 :48-56
[3]   The problem of collective identity in a fuzzy environment [J].
Alcantud, Jose Carlos R. ;
Calle, Rocio de Andres .
FUZZY SETS AND SYSTEMS, 2017, 315 :57-75
[4]   Optimization in an intuitionistic fuzzy environment [J].
Angelov, PP .
FUZZY SETS AND SYSTEMS, 1997, 86 (03) :299-306
[5]   A Recursive Group Decision-Making Procedure for Choosing Qualified Individuals [J].
Ballester, Miguel A. ;
Luis Garcia-Lapresta, Jose .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2009, 24 (08) :889-901
[6]  
Bede B, 2013, STUD FUZZ SOFT COMP, V295, P1, DOI 10.1007/978-3-642-35221-8
[7]  
Bede B, 2006, ACTA POLYTECH HUNG, V3, P123
[8]   Aggregation functions for typical hesitant fuzzy elements and the action of automorphisms [J].
Bedregal, Benjamin ;
Reiser, Renata ;
Bustince, Humberto ;
Lopez-Molina, Carlos ;
Torra, Vicenc .
INFORMATION SCIENCES, 2014, 255 :82-99
[9]  
Buckley J.J, 2005, Fuzzy Expert Systems and Fuzzy Reasoning
[10]   Using fuzzy numbers in linear programming [J].
Cadenas, JM ;
Verdegay, JL .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 1997, 27 (06) :1016-1022
123456