We present a new model and a new approach for solving fuzzylinear programming (FLP) problems with various utilities for the satisfactionof the fuzzy constraints. The model, constructed as a multi-objective linearprogramming problem, provides flexibility for the decision maker (DM), andallows for the assignment of distinct weights to the constraints and the objectivefunction. The desired solutio...

closed-loop supply chain network design is a critical issue due to its impact on both economic and environmental performances of the supply chain. in this paper, we address the problem of designing a multi-echelon, multi-product and capacitated closed-loop supply chain network. first, a mixed-integer linear programming formulation is developed to maximize the total profit. the main contribution...

Most research on bilevel linear programming problem  is focused on its deterministic form, in which the coefficients and decision variables in the objective functions and constraints are assumed to be crisp. In fact, due to inaccurate information, it is difficult to know exactly values of coefficients that used to construct a bilevel model. The interval set theory is suitable for describing and...

In this paper Standard Error of Mean (SEM), as a new technique, is used for transforming multi-objective linear programming problems (MOLPPs) to the single objective (SOLPPs). To end, an algorithm has been proposed and suggested solve MOLPPs, which have tested through numerical examples by employing Excel Solver. However, study compares results other techniques like (Chandra Sen, Optimal Averag...

The aim of our paper is to obtain efficient solutions the interval multi-objective linear programming (IMOLP) models. In this paper, we propose a new method determine in IMOLP models by using expected value and variance operators (EVV operators). First, define concepts value, variance, uncertainty distributions, present some properties EVV operators. Then, introduce model under these An consist...