Abstract
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. So in order to make it solvable, we introduced the linear chance constrained bi-level model. And some theorems are proposed to obtain the equivalent model. Then we employ the interactive programming technique to deal with the bi-level equivalent model. At last an illustrative example is present to show the efficiency.
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Acknowledgments
Supported was provided by the National Natural Science Foundation of China (Grant No. 71401093) and the Fundamental Research Funds for the Central Universities (Grant No. 14SZYB08). We thank those that have given constructive comments and feedback to help improve this paper.
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Zhou, X., Tu, Y., Hu, R., Lev, B. (2015). A Class of Chance Constrained Linear Bi-Level Programming with Random Fuzzy Coefficients. In: Xu, J., Nickel, S., Machado, V., Hajiyev, A. (eds) Proceedings of the Ninth International Conference on Management Science and Engineering Management. Advances in Intelligent Systems and Computing, vol 362. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-47241-5_36
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DOI: https://doi.org/10.1007/978-3-662-47241-5_36
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