Optimal Decisions in Multicriteria Problems with Controllable Attributes
Applying standard static methods of multicriteria decision-making one assumes that the alternatives are characterized by fixed attributes, whereas the main difficulty consists in finding and accepting the nondominated compromise values. In this paper we propose a model for the decision problems with alternatives which change their properties in a direct response to external actions. The changes of attributes may occur spontaneously, as well as they may be systematically influenced by the decision-maker. We assume that the decision-maker’s actions resulting in a desired improvement of the criteria values may bear certain cost and may not be immediate, i. e. the lapse of time necessary to realize the desired change may be considered as an auxiliary criterion. Thus we get a bilevel multicriteria optimization problem consisting of the optimal allocation of resources at a lower level, and selecting the related appropriate Pareto-optimal outputs of the original problem in a minimal time at the higher level.
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