Abstract
Recently, a lot of methods for transforming fuzzy multiple objective linear programming(MOLP) problems intocrisp MOLP problems have been reported. However, a transformed crisp MOLP problem results in an extremely lage number of constraints and decision variables. We feel that is the main disadvantage of these approaches. In this paper, we propose that a maximizing MOLP problem with trapezoidal positive fuzzy coefficients can be transformed into a crisp MOLP problem without an increase of only twice the number of constraints by using the two indices based upon the inequality relation between trapezoidal fuzzy numbers. Also, we demonstrate the usefulness of the proposed method.
