Affiliations: [a] School of Industrial Engineering and Management, International University
| [b]
Vietnam National University – HoChiMinh City, Quarter 6, Linh Trung Ward, Thu Duc District, HoChiMinh City, Vietnam
Correspondence:
[*]
Corresponding author. Nguyen Van Hop, School of Industrial Engineering and Management, International University, Vietnam National University – HoChiMinh City, Quarter 6, Linh Trung
Ward, Thu Duc District, HoChiMinh City, Vietnam. Tel.: +84 0 9 885 885 09; E-mails:
vanhop.nguyen@gmail.com, nvhop@hcmiu.edu.vn.
Abstract: In this paper, we investigate all relative relationships between two fuzzy numbers. Then, we introduce new relative measures to compare two fuzzy numbers instead of using absolute value to represent the fuzzy number. These measures address the dominant level that one fuzzy number is better than the other in terms of its position and shape. The so-called absolute fuzzy dominant degree and relative fuzzy dominant degree are developed to measure the differences between two fuzzy numbers applying for different types of constraint. These measures could capture all the shape’s characteristics and relative positions of fuzzy numbers. Finally, the fully fuzzy multi-objective decision making (FFMODM) problem is solved by using these fuzzy dominant degrees. For validation, we compare our approach to the fuzzy ranking method of the linear ranking function. Our obtained results show better performance.
Keywords: Fuzzy dominant degree, linear ranking function, fully fuzzy multi-objective linear programming problem
