A Class of Random Fuzzy Linear Bi-level Programming with Expected Objectives and Chance Constraints

In this paper, we consider a class of linear bi-level programming with random fuzzy coefficients, which has no mathematical meaning because of the uncertain factors. In order to make it solvable, we introduced the linear bi-level model with expected objectives and chance constraints, and propose some theorems to obtain the equivalent models. Then we employ the interactive programming technique to deal with the bi-level equivalent model. And finally we present an illustrative example to show the efficiency of the models and approaches.

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