Guiwu Wei - School of Business, Sichuan Normal University, Chengdu, ۶۱۰۱۰۱, P.R. China; Communications Systems and Networks (CSN) Research Group, Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah
Fuad E. Alsaadi - Communications Systems and Networks (CSN) Research Group, Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah ۲۱۵۸۹, Saudi Arabia
Tasawar Hayat - Department of Mathematics, QuaidI-Azam University ۴۵۳۲۰, Islam- abad ۴۴۰۰۰, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah ۲۱۵۸۹, Saudi
Ahmed Alsaedi - Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah ۲۱۵۸۹, Saudi Arabia

In this paper, we investigate the multiple attribute decision making (MADM) problem based on the arithmetic and geometric aggregation operators with hesitant fuzzy linguistic information. Then, motivated by the idea of traditional arithmetic operation, we have developed some aggregation operators for aggregating hesitant fuzzy linguistic information: hesitant fuzzy linguistic weighted average (HFLWA) operator, hesitant fuzzy linguistic ordered weighted average (HFLOWA) operator and hesitant fuzzy linguistic hybrid average (HFLHA) operator. Furthermore, we propose the concept of the dual hesitant fuzzy linguistic set and develop some aggregation operators with dual hesitant fuzzy linguistic information. Then, we have utilized these operators to develop some approaches to solve the hesitant fuzzy linguistic multiple attribute decision making problems. Finally, a practical example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Multiple attribute decision making (MADM), Hesitant fuzzy linguistic values, Hesitant fuzzy linguistic hybrid average (HFLHA) operator, Dual hesitant fuzzy linguistic set