Izvorni znanstveni članak
https://doi.org/10.17535/crorr.2020.0016
Solving the four index fully fuzzy transportation problem
Manal Hedid
orcid.org/0000-0002-7599-9491
; Faculty of Sciences, University Ferhat Abbas Setif1, Algeria
Rachid Zitouni
orcid.org/0000-0002-4545-4351
; Faculty of Sciences, University Ferhat Abbas Setif1, Algeria
Sažetak
In this paper, we will solve the four index fully fuzzy transportation problem (\textit{FFTP$_{4}$}) with some adapted classical methods. All problem's data will be presented as fuzzy numbers. In order to defuzificate these data, we will use the ranking function procedure. Our method to solve the \textit{FFTP$_{4}$} composed of two phases; in the first one, we will use an adaptation of well-known algorithms to find an initial feasible solution, which are the least cost, Russell's approximation and Vogel's approximation methods. In the second phase, we will test the optimality of the initial solution, if it is not optimal, we will improve it. A numerical analysis of the proposed methods is performed by solving different examples of different sizes; it is determined that they are stable, robust, and efficient. A proper comparative study between the adapted methods identifies the suitable method for solving \textit{FFTP$_{4}$}.
Ključne riječi
fuzzy arithmetic; fuzzy transportation problem; linear programming; multi-index problem
Hrčak ID:
248145
URI
Datum izdavanja:
18.12.2020.
Posjeta: 1.738 *