A class of chance constrained linear bi-level programming with random fuzzy coefficients

Xiaoyang Zhou; Yan Tu; Ruijia Hu; Benjamin Lev

doi:10.1007/978-3-662-47241-5_36

A class of chance constrained linear bi-level programming with random fuzzy coefficients

Xiaoyang Zhou
, Yan Tu
, Ruijia Hu
, Benjamin Lev

School of Management

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

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.

Original language	English
Title of host publication	Proceedings of the 9th International Conference on Management Science and Engineering Management
Editors	Virgilio Cruz Machado, Jiuping Xu, Stefan Nickel, Asaf Hajiyev
Publisher	Springer Verlag
Pages	423-433
Number of pages	11
ISBN (Electronic)	9783662472408
DOIs	https://doi.org/10.1007/978-3-662-47241-5_36
State	Published - 2015
Event	9th International Conference on Management Science and Engineering Management, ICMSEM 2015 - Karlsruhe, Germany Duration: 21 Jul 2015 → 23 Jul 2015

Publication series

Name	Advances in Intelligent Systems and Computing
Volume	362
ISSN (Print)	2194-5357

Conference

Conference	9th International Conference on Management Science and Engineering Management, ICMSEM 2015
Country/Territory	Germany
City	Karlsruhe
Period	21/07/15 → 23/07/15

Keywords

Chance constraints
Interactive programming technique
Linear bi-level programming
Random fuzzy variable

Access to Document

10.1007/978-3-662-47241-5_36

Cite this

Zhou, X., Tu, Y., Hu, R., & Lev, B. (2015). A class of chance constrained linear bi-level programming with random fuzzy coefficients. In V. C. Machado, J. Xu, S. Nickel, & A. Hajiyev (Eds.), Proceedings of the 9th International Conference on Management Science and Engineering Management (pp. 423-433). (Advances in Intelligent Systems and Computing; Vol. 362). Springer Verlag. https://doi.org/10.1007/978-3-662-47241-5_36

Zhou, Xiaoyang ; Tu, Yan ; Hu, Ruijia et al. / A class of chance constrained linear bi-level programming with random fuzzy coefficients. Proceedings of the 9th International Conference on Management Science and Engineering Management. editor / Virgilio Cruz Machado ; Jiuping Xu ; Stefan Nickel ; Asaf Hajiyev. Springer Verlag, 2015. pp. 423-433 (Advances in Intelligent Systems and Computing).

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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.",

keywords = "Chance constraints, Interactive programming technique, Linear bi-level programming, Random fuzzy variable",

author = "Xiaoyang Zhou and Yan Tu and Ruijia Hu and Benjamin Lev",

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doi = "10.1007/978-3-662-47241-5\_36",

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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 VC Machado, J Xu, S Nickel & A Hajiyev (eds), Proceedings of the 9th International Conference on Management Science and Engineering Management. Advances in Intelligent Systems and Computing, vol. 362, Springer Verlag, pp. 423-433, 9th International Conference on Management Science and Engineering Management, ICMSEM 2015, Karlsruhe, Germany, 21/07/15. https://doi.org/10.1007/978-3-662-47241-5_36

A class of chance constrained linear bi-level programming with random fuzzy coefficients. / Zhou, Xiaoyang; Tu, Yan; Hu, Ruijia et al.
Proceedings of the 9th International Conference on Management Science and Engineering Management. ed. / Virgilio Cruz Machado; Jiuping Xu; Stefan Nickel; Asaf Hajiyev. Springer Verlag, 2015. p. 423-433 (Advances in Intelligent Systems and Computing; Vol. 362).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Zhou X, Tu Y, Hu R, Lev B. A class of chance constrained linear bi-level programming with random fuzzy coefficients. In Machado VC, Xu J, Nickel S, Hajiyev A, editors, Proceedings of the 9th International Conference on Management Science and Engineering Management. Springer Verlag. 2015. p. 423-433. (Advances in Intelligent Systems and Computing). doi: 10.1007/978-3-662-47241-5_36

A class of chance constrained linear bi-level programming with random fuzzy coefficients

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