Abstract
In this paper, we will propose new relations of trapezoidal fuzzy numbers(TrFNs) each of which is defined using three parameters. And we will show that the proposed relations include the order relations produced by using both any cutting level α∈[0,1] and anyone of the indices by Dubois and Prade. Moreover, we will propose a method for solving linear programming(LP) problems with TrFN coefficients, using the proposed relations. We will demonstrate that in this methof decision maker(DM) can treat the constraint with more reflection of DM's intention than in the method using the order relations by indices proposed by Dubois and Prade.
