Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 103437, 19 pages
http://dx.doi.org/10.1155/2011/103437
Research Article

A Compensatory Approach to Multiobjective Linear Transportation Problem with Fuzzy Cost Coefficients

Hale Gonce Kocken1 and Mehmet Ahlatcioglu2

1Department of Mathematical Engineering, Faculty of Chemistry-Metallurgy, Yildiz Technical University, Davutpasa, 34220 Istanbul, Turkey
2Department of Mathematics, Faculty of Arts and Science, Yildiz Technical University, Davutpasa, 34220 Istanbul, Turkey

Received 27 April 2011; Revised 16 July 2011; Accepted 9 August 2011

Academic Editor: J. J. Judice

Copyright © 2011 Hale Gonce Kocken and Mehmet Ahlatcioglu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper deals with the Multiobjective Linear Transportation Problem that has fuzzy cost coefficients. In the solution procedure, many objectives may conflict with each other; therefore decision-making process becomes complicated. And also due to the fuzziness in the costs, this problem has a nonlinear structure. In this paper, fuzziness in the objective functions is handled with a fuzzy programming technique in the sense of multiobjective approach. And then we present a compensatory approach to solve Multiobjective Linear Transportation Problem with fuzzy cost coefficients by using Werner's 𝜇 a n d operator. Our approach generates compromise solutions which are both compensatory and Pareto optimal. A numerical example has been provided to illustrate the problem.