Quantifying extra functions, herein referred to as outcome over optimal solutions of an optimization problem can provide decision makers with additional information on a system. This bears more importance when the is subject uncertainty in input parameters. In this paper, we consider linear programming problems which parameters are described by real-valued intervals, and address range finding f...

In the present paper, a multiobjective linear programming problem under uncertainty, particularly when parameters are given in interval forms, is investigated. this case, it assumed that objective coefficients and constraints have arrived numbers. Considering suitable order relation for numbers, solution procedure dealing with such developed. A numerical example provided to illustrate efficienc...

This paper deals with multi- objective nonlinear programming problem having rough intervals in the constraints. The problem is approached by taking maximum value range and minimum value range inequalities as constraints conditions, reduces it into two classical multi-objective nonlinear programming problems, called lower and upper approximation problems.  All of the lower and upper approximatio...

data envelopment analysis (dea) is a non-parametric technique for evaluation of relative efficiency of decision making units described by multiple inputs and outputs. it is based on solving linear programming problems. since 1978 when basic dea model was introduced many its modifications were formulated. among them are two or multi-stage models with serial or parallel structure often called net...