In the paper a new approach to goal programming is presented: the robust approach, applied so far to a single-objective linear programming. It is a ”pessimistic” approach, meant to find a solution which will be reasonably good even in a bad case, but it is based on the assumption that almost never everything goes bad the decision maker can control and simulate the pessimistic aspect of the deci...

In this paper, two approaches were introduced to obtain Stackelberg solutions for two-level linear fractional programming problems with interval coefficients in the objective functions. The approaches were based on the Kth best method and the method for solving linear fractional programming problems with interval coefficients in the objective function. In the first approach, linear fractional p...

This paper presents a dual of a general linear fractional functions programming problem. Dual is shown to be a linear programming problem. Along with other duality theorems, complementary slackness theorem is also proved. A simple numerical example illustrates the result.

The concept of meta-goal programming is developed and linked to an interactive framework. An algorithm is proposed, in which the decision maker can establish target values on several achievement functions and use an interactive procedure to update these values. This substantially alleviates the problems associated with assigning to each attribute a target value, in order to build the goals, as ...

Paper presented at the 7th meeting of the EURO-working group "Aide a la decision multicritere" in York, april 1978.

The fuzzy approach has undergone a profound structural transformation in the past few decades. Numerous studies have been undertaken to explain fuzzy approach for linear and nonlinear programs. While, the findings in earlier studies have been conflicting, recent studies of competitive situations indicate that fractional programming problem has a positive impact on comparative scenario. We propo...

since lean concept has appeared many works have been done on decreasing or even eliminating of wastes such as extra inventory. although these studies have not taken into account expected availability seriously. so in this paper, a multiple objective decision making (modm) model has been developed by viewpoint of these subjects. they are decreasing wastes and increasing system availability. wast...

this research proposes a methodology for ranking decision making units byusing a goal programming model.we suggest a two phases procedure. in phase1, by using some dea problems for each pair of units, we construct a pairwisecomparison matrix. then this matrix is utilized to rank the units via the goalprogramming model.

In this note we consider a linear-fractional programming problem with equality linear constraints. Following Rohn, we define a generalized relative sensitivity coefficient measuring the sensitivity of the optimal value for a linear program and a linear-fractional minimization problem with respect to the perturbations in the problem data. By using an extension of Rohn’s result for the linear pro...