| Issue |
RAIRO-Oper. Res.
Volume 53, Number 1, January–March 2019
|
|
|---|---|---|
| Page(s) | 157 - 178 | |
| DOI | https://doi.org/10.1051/ro/2019005 | |
| Published online | 31 January 2019 | |
Goal programming approach for solving multi-objective fractional transportation problem with fuzzy parameters
1
Department of Mathematics, PSG College of Arts and Science, 641014 Coimbatore, India
2
Department of Mathematics, PSG College of Technology, 641004 Coimbatore, India
* Corresponding author: anuparaman@gmail.com
Received:
10
April
2017
Accepted:
31
December
2018
In this paper, authors studied a goal programming approach for solving multi-objective fractional transportation problem by representing the parameters (γ, δ) in terms of interval valued fuzzy numbers. Fuzzy goal programming problem with multiple objectives is difficult for the decision makers to determine the goal valued of each objective precisely. The proposed model presents a special type of non-linear (hyperbolic) membership functions to solve multi-objective fractional transportation problem with fuzzy parameters. To illustrate the proposed method numerical examples are solved.
Mathematics Subject Classification: 90 C 08 / 90 C 32 / 90 C 70
Key words: Transportation problem / fractional programming / goal programming
© EDP Sciences, ROADEF, SMAI 2019
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