Granule sets based bilevel decision model

Abstract

Bilevel decision addresses the problem in which two levels of decision makers act and react in an uncooperative, sequential manner, and each tries to optimize their individual objectives under constraints. Such a bilevel optimization structure appears naturally in many aspects of planning, management and policy making. There are two kinds of bilevel decision models already presented, which are traditional bilevel decision models and rule sets based bilevel decision models. Based on the two kinds of models, granule sets based bilevel decision models are developed in this paper. The models can be viewed as extensions of the former two models, and they can describe more bilevel decision making problems and possess some new advantages. We also discuss the comparison of the three models and present some new topics in this research field. © Springer-Verlag Berlin Heidelberg 2006.