| Issue |
RAIRO-Oper. Res.
Volume 56, Number 6, November-December 2022
|
|
|---|---|---|
| Page(s) | 4035 - 4045 | |
| DOI | https://doi.org/10.1051/ro/2022196 | |
| Published online | 29 November 2022 | |
On generating fuzzy Pareto solutions in fully fuzzy multiobjective linear programming via a compromise method
Department of Statistics and Operational Research, University of Cádiz, Cádiz, Spain
* Corresponding author: manuel.arana@uca.es
Received:
31
May
2021
Accepted:
4
November
2022
In the present paper, it is unified and extended recent contributions on fully fuzzy multiobjective linear programming, and it is proposed a new method for obtaining fuzzy Pareto solutions of a fully fuzzy multiobjective linear programming problem. For its formulation, triangular fuzzy numbers and variables are combined with fuzzy partial orders and fuzzy arithmetic, and no ranking functions are required. By means of solving related crisp multiobjective linear problems, it is provided algorithms to generate fuzzy Pareto solutions; in particular, to generate compromise fuzzy Pareto solutions, what is a novelty in this field.
Mathematics Subject Classification: 90C70 / 03E72 / 90C29
Key words: Fully fuzzy multiobjective linear programming / fuzzy sets / fuzzy numbers / multiobjective optimization
© The authors. Published by EDP Sciences, ROADEF, SMAI 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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