Affiliations: [a]
Business School, Sichuan University, Chengdu, China
| [b]
Department of Mathematical and Computer Sciences, University of Sistan and Baluchestan, Zahedan, Iran
| [c]
Department of Computer Science and Artificial Intelligence, University of Granada, Granada, Spain
Correspondence:
[*]
Corresponding author. Abazar Keikha, Department of Mathematical and Computer Sciences, University of Sistan and Baluchestan, Zahedan, Iran. E-mail: abazar_keikha@yahoo.com.
Abstract: Hesitant fuzzy set, as an extension of fuzzy set, has absorbed many researchers from various scientific backgrounds to deal with uncertainty. Solving decision-making problems is one of the most important applications of hesitant fuzzy set. To do so, it is needed to rank hesitant fuzzy elements (HFEs) and to define some mathematical operations on them. In this paper, a new method based on the power average operator is firstly suggested to compare the HFEs. Given that different HFEs may have different numbers of elements, new procedures are developed to make them uniform. Then, four kinds of hesitant power average operators, including the hesitant power average operator, the weighted hesitant power average operator, the ordered weighted hesitant power average operator and the hybrid weighted hesitant power average operator, are introduced. Finally, a new approach to solve the multiple attribute decision-making problems is introduced via the proposed operators. Numerical examples are given to illustrate and compare the proposed methods.
Keywords: Multiple attribute decision making, Hesitant fuzzy set, Score function, Power
average, Aggregation function
