In this paper, we propose a relationship of fuzzy duality. We use the Decomposition Theorem and some properties about Linear Programming with interval coefficients to define this relationship. Thus, a linear programming problem with fuzzy costs represented by membership functions L-R can be solved by means of two dual problems (linear programming problems with fuzzy constraints). Moreover, these results can be applied to multiobjective problems whose coefficients of the objective function are fuzzy numbers represented by linear membership functions.
@article{urn:eudml:doc:39090,
title = {A dual approach in fuzzy linear programming.},
journal = {Mathware and Soft Computing},
volume = {3},
year = {1996},
pages = {383-394},
zbl = {0859.90120},
mrnumber = {MR1489757},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39090}
}
Cadenas, José M.; Jiménez, Fernando. A dual approach in fuzzy linear programming.. Mathware and Soft Computing, Tome 3 (1996) pp. 383-394. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39090/