Affiliations: [a] School of Economics, University of Chinese Academy of Social Sciences, Beijing, China
| [b] School of Mechanical Engineering, Tiangong University, Tianjin, China
| [c] Department of Finance, Nankai University Binhai College, Tianjin, China
| [d] School of Management and Economics, Beijing Institute of Technology, Beijing, China
Correspondence:
[*]
Corresponding author. Yuqin Du, School of Economics, University of Chinese Academy of Social Sciences, Beijing, 102400, PR China. Tel.: +18813113308. E-mail: [email protected].
Abstract: The aim of this paper is to introduce a Frank operator in the q-rung orthopair triangular fuzzy linguistic environment on the basis of the notion of the Frank operator and the q-rung orthopair fuzzy set. Firstly, the concept of a q-rung orthopair triangular fuzzy linguistic set (q-ROTrFLS) is proposed, then several basic operations, score, and accuracy functions to compare the q-ROTrFLS values are defined. Secondly, a series of q-rung orthopair triangular fuzzy linguistic Frank aggregation operators are developed, such as q-rung orthopair triangular fuzzy linguistic Frank weighted average (q-ROTrFLWA)operator,q-rung orthopair triangular fuzzy linguistic Frank weighted geometric (q-ROTrFLWG) operator, and we introduce several relevant properties of these operators and prove their validity, and show the relevant relationship between some operators. Thirdly, two different decision-making approaches are constructed in the q-rung orthopair triangular fuzzy linguistic environment. Furthermore, a practical example is given to explain the developed methods. Finally, a comparative study is conducted, and the relevant sensitivity analysis is also discussed, and the outcome shows the prominence and the effectiveness of the developed methods compared to previous studies.
Keywords: q-rung orthopair triangular fuzzy linguistic set, Frank operator, multi-attribute decision making (MADM), q-rung orthopair set
