In this paper, we have proposed a mathematical formulation of fuzzy minimum cost flow problem for damageable items transportation. For the imprecise model, capacity, cost, percentage of unit damage of each route have been considered as triangular fuzzy numbers. This problem has been solved by using the k-preference integration method, the area compensation method, and the signed distance method. Finally, to show the validity of the proposed model, a numerical example is provided and solved with Wolfram Mathematica 9.
IOS Press, Inc.
6751 Tepper Drive
Clifton, VA 20124
Tel.: +1 703 830 6300
Fax: +1 703 830 2300 firstname.lastname@example.org
(Corporate matters and books only) IOS Press c/o Accucoms US, Inc.
For North America Sales and Customer Service
West Point Commons
Lansdale PA 19446
Tel.: +1 866 855 8967
Fax: +1 215 660 5042 email@example.com