On solving linear fractional programming transportation problems with fuzzy numbers

Autor: Abouzar Sheikhi, Mohammad Javad Ebadi
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of Fuzzy Extension and Applications, Vol 4, Iss 4, Pp 327-339 (2023)
Druh dokumentu: article
ISSN: 2783-1442
2717-3453
DOI: 10.22105/jfea.2024.402392.1294
Popis: In this paper, we present a novel method for solving Fractional Transportation Problems (FTPs) with fuzzy numbers using a ranking function. The proposed method introduces a transformation technique that converts an FTP with fuzzy numbers into an FTP with crisp numbers by employing the robust ranking technique. Subsequently, we formulate two transportation problems, one for maximization and another for minimization, based on the given FTP. The optimal solution for the original FTP is then derived by leveraging the solutions obtained for the formulated transportation problems. By optimizing these single-objective transport problems, our method provides decision-makers with the ability to make satisfactory managerial decisions and evaluate economic operations when confronted with logistic problems involving fractional transportation. To demonstrate the effectiveness of the proposed approach, we present several illustrative examples that showcase its practical application and efficiency.
Databáze: Directory of Open Access Journals