Abstract

Abstract. The reference point method for solving multi-criteria optimization problems is an interactive technique where the decision maker specifies requirements, similar to goal programming, in terms of aspiration levels. Ogryczak [5] showed how the reference point method could be modeled within goal programming methodology provided that the nonnegativity restrictions on weights were dropped. It allows us to consider the reference point approach as an extension of goal programming. However, in most of real-life applications of goal programming the goals are grouped according to the predefined priorities (the so-called preemptive goal programming) whereas in the reference point method all the deviations are considered to be equally important. In this paper we show how the priorities can be incorporated into the reference point method.

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