In this paper, we address bilevel multi-objective programming
problems (BMPP) in which the decision maker at each level has multiple
objective functions conflicting with each other. Given a BMPP, we show
how to construct two artificial multiobjective programming problems such that
any point that is efficient for both the two problems is an efficient solution
of the BMPP. Some necessary and sufficient conditions for which the
obtained result is applicable are provided. A complete procedure of the
implementation of an algorithm for generating efficient solutions for the
linear case of BMPP is presented. A numerical example is provided to
illustrate how the algorithm operates.
Cite this paper
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