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Axial solutions of multiple objective linear problems under interval data

S. Kordrostami, F. Keshavarz Gildeh, V. Hoseinnezhad

Abstract


Multiple objective linear problems are problems with multiple objective functions and linear constraints. In this paper, a decision maker considers multiple objectives in order to optimize objectives. Here, solutions for the optimization of multiple objective linear problems, in contest are provided in which partial information on preference weights is accounted. If data are inexact and belong to the interval, then interval multiple objective linear problems are dealt with. Multiple objective linear problems can be transformed to linear problems through axial approach. Some values are in upper or lower bound in these LPs by which two linear problems are solved and axial solutions are earned. In the paper, cost coefficients, available resources values, activity variables and improvement axis are not exact and lower and upper bounds of values are available. A numerical example is presented here, the objective of which is maximizing the benefits and the productions. In addition, more preferred solutions (Axial solutions) are determined, which relate to the preferences of problem, decision makers and the environment information.

Keywords


Multiple objective linear problems, interval data, axial solution, preferences weights.

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