Skoči na glavni sadržaj

Izvorni znanstveni članak

https://doi.org/10.17535/crorr.2020.0016

Solving the four index fully fuzzy transportation problem

Manal Hedid orcid id orcid.org/0000-0002-7599-9491 ; Faculty of Sciences, University Ferhat Abbas Setif1, Algeria
Rachid Zitouni orcid id orcid.org/0000-0002-4545-4351 ; Faculty of Sciences, University Ferhat Abbas Setif1, Algeria


Puni tekst: engleski pdf 727 Kb

str. 199-215

preuzimanja: 524

citiraj


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

https://hrcak.srce.hr/248145

Posjeta: 801 *