Bibliography

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Focus programming: a bi‐level programming approach to static stochastic optimization problems

Authors: Peijun Guo, Xide Zhu
Published in: International Transactions in Operational Research, 2023.
DOI: https://doi.org/10.1111/itor.13322
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Flexibility pricing in the active distribution network including renewable and flexibility sources as a bi-level optimization model

Authors: Mohammad Reza RaeisiNia, Shahram Javadi, Mohammad Reza Jokar, Seyed Ashkan Nejati
Published in: Sustainable Energy Technologies and Assessments, 52, 101947, 2022.
DOI: https://doi.org/10.1016/j.seta.2021.101947
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Fuzzy programming for multi-choice bilevel transportation problem

Authors: Ritu Arora, Kavita Gupta
Published in: Operations Research and Decisions, 31(3), 2021.
DOI: https://doi.org/10.37190/ord210301
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Fuzzy Formalization of Individual Quality Criteria for Quality Level Evaluation by Using Two-Level Optimization Model

Authors: G. Pipiay, L. Chernenkaya, V. Mager
Published in: Proceedings of the 6th International Conference on Industrial Engineering (ICIE 2020), 557–565, 2021.
DOI: https://doi.org/10.1007/978-3-030-54817-9_65
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Fast UAV Trajectory Optimization Using Bilevel Optimization With Analytical Gradients

Authors: Weidong Sun, Gao Tang, Kris Hauser
Published in: IEEE Transactions on Robotics, 1–15, 2021.
DOI: https://doi.org/10.1109/tro.2021.3076454
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FB-GSA: A fuzzy bi-level programming based gravitational search algorithm for unconstrained optimization

Authors: Nitish Das, Aruna Priya P.
Published in: Applied Intelligence, 51(4), 1857–1887, 2020.
DOI: https://doi.org/10.1007/s10489-020-01884-0
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Feature construction as a bi-level optimization problem

Authors: Marwa Hammami, Slim Bechikh, Ali Louati, Mohamed Makhlouf, Lamjed Ben Said
Published in: Neural Computing and Applications, 32(17), 13783–13804, 2020.
DOI: https://doi.org/10.1007/s00521-020-04784-z
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First- and second-order optimality conditions in optimistic bilevel set-valued programming

Authors: Lahoussine Lafhim
Published in: Optimization, 1–27, 2020.
DOI: https://doi.org/10.1080/02331934.2020.1846189
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Fuzzy Relation Bilevel Optimization Model in the Wireless Communication Station System

Authors: Jianjun Qiu, Huanbin Xue, Guanrong Li, Xiaopeng Yang
Published in: IEEE Access, 8, 60811–60823, 2020.
DOI: https://doi.org/10.1109/access.2020.2984095
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FGP APPROACH TO BI-LEVEL MULTI-OBJECTIVE QUADRATIC FRACTIONAL PROGRAMMING WITH PARAMETRIC FUNCTIONS

Authors: N. Rani, V. Goyal, D. Gupta
Published in: Advances in Mathematics: Scientific Journal, 9(6), 3453–3459, 2020.
DOI: https://doi.org/10.37418/amsj.9.6.25
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Fast UAV Trajectory Optimization Using Bilevel Optimization With Analytical Gradients

Authors: Weidong Sun, Gao Tang, Kris Hauser
Published in: 2020 American Control Conference (ACC), 2020.
DOI: https://doi.org/10.23919/acc45564.2020.9147300
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Feature selection for classification models via bilevel optimization

Authors: Joseph Agor, Osman Y. Özaltın
Published in: Computers & Operations Research, 106, 156–168, 2019.
DOI: https://doi.org/10.1016/j.cor.2018.05.005
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Fuzzy rough bi-level multi-objective nonlinear programming problems

Authors: M.A. Elsisy, M.A. El Sayed
Published in: Alexandria Engineering Journal, 58(4), 1471–1482, 2019.
DOI: https://doi.org/10.1016/j.aej.2019.12.002
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Fixed-time consensus for leader-follower nonlinear multi-agent systems with disturbance

Authors: Ya Liu, Panfeng Huang, Fan Zhang
Published in: 2019 IEEE 4th International Conference on Advanced Robotics and Mechatronics (ICARM), 2019.
DOI: https://doi.org/10.1109/icarm.2019.8834244
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Fully Integrated Asymmetric Doherty Amplifier Based on Two-Power-Level Impedance Optimization

Authors: Ryo Ishikawa, Yoichiro Takayama, Kazuhiko Honjo
Published in: 2018 48th European Microwave Conference (EuMC), 2018.
DOI: https://doi.org/10.23919/eumc.2018.8541803
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Further on Inner Regularizations in Bilevel Optimization

Authors: M. Beatrice Lignola, Jacqueline Morgan
Published in: Journal of Optimization Theory and Applications, 180(3), 1087–1097, 2018.
DOI: https://doi.org/10.1007/s10957-018-1438-7
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Finding Robust Global Optimal Values of Bilevel Polynomial Programs with Uncertain Linear Constraints

Authors: T. D. Chuong, V. Jeyakumar
Published in: Journal of Optimization Theory and Applications, 173(2), 683–703, 2017.
DOI: https://doi.org/10.1007/s10957-017-1069-4
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From Mixed-Integer Linear to Mixed-Integer Bilevel Linear Programming

Authors: Matteo Fischetti
Published in: Optimization and Decision Science: Methodologies and Applications, 21–28, 2017.
DOI: https://doi.org/10.1007/978-3-319-67308-0_3
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Finding Reliable Solutions in Bilevel Optimization Problems Under Uncertainties

Authors: Zhichao Lu, Kalyanmoy Deb, Ankur Sinha
Published in: Proceedings of the Genetic and Evolutionary Computation Conference 2016, 2016.
DOI: https://doi.org/10.1145/2908812.2908925
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Follower distribution algorithms for leader-follower networks

Authors: Begum Senses Cannataro, Zhen Kan, Warren E. Dixon
Published in: 2016 IEEE Conference on Computer Aided Control System Design (CACSD), 2016.
DOI: https://doi.org/10.1109/cacsd.2016.7602540
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Fuzzy Bilevel Programming with Credibility Measure

Authors: Hande Günay Akdemir
Published in: Advances in Intelligent Systems and Computing, 127–137, 2016.
DOI: https://doi.org/10.1007/978-3-319-30322-2_9
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Foundations of Random-Like Bi-Level Decision Making

Authors: Jiuping Xu, Zongmin Li, Zhimiao Tao
Published in: Random-Like Bi-level Decision Making, 1–75, 2016.
DOI: https://doi.org/10.1007/978-981-10-1768-1_1
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Fuzzy Bi-level Decision Making

Authors: Guangquan Zhang, Jie Lu, Ya Gao
Published in: Intelligent Systems Reference Library, 175–205, 2015.
DOI: https://doi.org/10.1007/978-3-662-46059-7_7
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Fuzzy-based interactive method for solution of bi- and multi-level programming problems

Authors: Krishna Pratap Singh, Kusum Deep, M.L. Kansal
Published in: International Journal of Information and Decision Sciences, 6(2), 166, 2014.
DOI: https://doi.org/10.1504/ijids.2014.061774
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Finding optimal strategies in a multi-period multi-leader–follower Stackelberg game using an evolutionary algorithm

Authors: Ankur Sinha, Pekka Malo, Anton Frantsev, Kalyanmoy Deb
Published in: Computers & Operations Research, 41, 374–385, 2014.
DOI: https://doi.org/10.1016/j.cor.2013.07.010
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Fuzzy Bi-Level Multi-Objective Fractional Integer Programming

Authors: E. A. Youness, O. E. Emam, M. S. Hafez
Published in: Applied Mathematics & Information Sciences, 8(6), 2857–2863, 2014.
DOI: https://doi.org/10.12785/amis/080622
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Fuzzy random non-cooperative two-level linear programming through fractile models with possibility and necessity

Authors: Masatoshi Sakawa, Takeshi Matsui
Published in: Engineering Optimization, 45(7), 811–833, 2013.
DOI: https://doi.org/10.1080/0305215x.2012.709512
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Feasible direction method for bilevel programming problem

Authors: Ayalew Getachew Mersha, Stephan Dempe
Published in: Optimization, 61(5), 597–616, 2012.
DOI: https://doi.org/10.1080/02331934.2011.641546
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Fuzzy linear fractional bi-level multi-objective programming problems

Authors: Nemat Safaei, Mansour Saraj
Published in: International Journal of Applied Mathematical Research, 1(4), 2012.
DOI: https://doi.org/10.14419/ijamr.v1i4.416
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Formal Specification as High-Level Programming: The ASSL Approach

Authors: Emil Vassev, Mike Hinchey
Published in: Patterns, Programming and Everything, 129–146, 2012.
DOI: https://doi.org/10.1007/978-1-4471-2350-7_9
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Fuzzy Optimality Conditions for Fractional Multiobjective Bilevel Problems Under Fractional Constraints

Authors: M. Bazine, A. Bennani, N. Gadhi
Published in: Numerical Functional Analysis and Optimization, 32(2), 126–141, 2011.
DOI: https://doi.org/10.1080/01630563.2010.532274
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Fuzzy Sub Bi HX Group and its Bi Level Sub Bi HX Groups

Authors: R. Muthuraj, P.M. Sitharselvam, K.H. Manikandan
Published in: International Journal of Computer Applications, 13(8), 23–26, 2011.
DOI: https://doi.org/10.5120/1800-2403
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Fuzzy Goal Programming Approach to Quadratic BiLevel MultiObjective Programming Problem

Authors: Surapati Pramanik, Partha Pratim Dey, Bibhas C. Giri
Published in: International Journal of Computer Applications, 29(6), 9–14, 2011.
DOI: https://doi.org/10.5120/3571-4926
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Fuzzy and Exact Optimality Conditions for a Bilevel Set-Valued Problem via Extremal Principles

Authors: S. Dempe, N. A. Gadhi, L. Lafhim
Published in: Numerical Functional Analysis and Optimization, 31(8), 907–920, 2010.
DOI: https://doi.org/10.1080/01630563.2010.505356
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Fuzzy programming approach for solving bi-level multi-objective linear programming problems

Authors: Wenguang Tang, Zhao Fenxia
Published in: 2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery, 2010.
DOI: https://doi.org/10.1109/fskd.2010.5569711
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Fuzzy goal programming algorithm for solving decentralized bi-level multi-objective programming problems

Authors: Ibrahim A. Baky
Published in: Fuzzy Sets and Systems, 160(18), 2701–2713, 2009.
DOI: https://doi.org/10.1016/j.fss.2009.02.022
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FUZZY BILEVEL PROGRAMMING: MULTI-OBJECTIVE AND MULTI-FOLLOWER WITH SHARED VARIABLES

Authors: GUANGQUAN ZHANG, JIE LU, YA GAO
Published in: International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 16(supp02), 105–133, 2008.
DOI: https://doi.org/10.1142/s0218488508005510
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Fuzzy bilevel programming with multiple objectives and cooperative multiple followers

Authors: Guangquan Zhang, Jie Lu
Published in: Journal of Global Optimization, 47(3), 403–419, 2008.
DOI: https://doi.org/10.1007/s10898-008-9365-z
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Fuzzy Bi-Level Multi-Objective Programming for Supply Chain

Authors: Ying Li, Shanlin Yang
Published in: 2007 IEEE International Conference on Automation and Logistics, 2007.
DOI: https://doi.org/10.1109/ical.2007.4338941
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Fast Computational Method for a Class of Nonlinear Bilevel Programming Problems Using the Hybrid Genetic Algorithm

Authors: Hong Li, Yong-chang Jiao, Li Zhang, Yuping Wang
Published in: 2006 International Conference on Computational Intelligence and Security, 2006.
DOI: https://doi.org/10.1109/iccias.2006.294125
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Flexible Approximation Model Approach for Bi-Level Integrated System Synthesis

Authors: Hongman Kim, Scott Ragon, Grant Soremekun, Brett Malone, Jaroslaw Sobieszczanski-Sobieski
Published in: 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, 2004.
DOI: https://doi.org/10.2514/6.2004-4545
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Fast Resource Allocation by Bilevel Programming Problem 1

Authors: K. Stoilova
Published in: IFAC Proceedings Volumes, 37(19), 249–254, 2004.
DOI: https://doi.org/10.1016/s1474-6670(17)30692-4
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Final Remarks

Authors: Oliver Stein
Published in: Bi-Level Strategies in Semi-Infinite Programming, 187–189, 2003.
DOI: https://doi.org/10.1007/978-1-4419-9164-5_7
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First-Order Necessary Optimality Conditions for General Bilevel Programming Problems

Authors: S. Dempe
Published in: Journal of Optimization Theory and Applications, 95(3), 735–739, 1997.
DOI: https://doi.org/10.1023/a:1022646611097
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Fenchel’s Unsolved Problem of Level Sets

Authors: Tamás Rapcsák
Published in: Smooth Nonlinear Optimization in R n, 253–270, 1997.
DOI: https://doi.org/10.1007/978-1-4615-6357-0_14
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Finding an efficient solution to linear bilevel programming problem: An effective approach

Authors: Ue-Pyng Wen, Sen-Fon Lin
Published in: Journal of Global Optimization, 8(3), 295–306, 1996.
DOI: https://doi.org/10.1007/bf00121271
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First-Order Necessary Optimality Conditions for General Bilevel Programming Problems

Authors: A. Yezza
Published in: Journal of Optimization Theory and Applications, 89(1), 189–219, 1996.
DOI: https://doi.org/10.1007/bf02192648
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Finite element multilevel approximation of a function and applications

Authors: Olivier Goubet
Published in: Numerical Functional Analysis and Optimization, 15(3-4), 279–299, 1994.
DOI: https://doi.org/10.1080/01630569408816566
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Figure 9: Two-level pattern.

Authors:
Published in:
DOI: https://doi.org/10.7717/peerj-cs.141/fig-9
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Bilevel Optimization Repository