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Construction of aggregation operators for automated decision making via optimal interpolation and global optimization
A smoothing scheme for optimization problems with Max-Min constraints
1. | School of Management, Fudan University, Shanghai 200433 |
2. | Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong |
3. | Department of Mathematics and Statistics, Curtin University of Technology, Perth |
[1] |
Lucian Coroianu, Sorin G. Gal. New approximation properties of the Bernstein max-min operators and Bernstein max-product operators. Mathematical Foundations of Computing, 2022, 5 (3) : 259-268. doi: 10.3934/mfc.2021034 |
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Jinchuan Zhou, Changyu Wang, Naihua Xiu, Soonyi Wu. First-order optimality conditions for convex semi-infinite min-max programming with noncompact sets. Journal of Industrial and Management Optimization, 2009, 5 (4) : 851-866. doi: 10.3934/jimo.2009.5.851 |
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Roberto Livrea, Salvatore A. Marano. A min-max principle for non-differentiable functions with a weak compactness condition. Communications on Pure and Applied Analysis, 2009, 8 (3) : 1019-1029. doi: 10.3934/cpaa.2009.8.1019 |
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José M. Amigó, Ángel Giménez. Formulas for the topological entropy of multimodal maps based on min-max symbols. Discrete and Continuous Dynamical Systems - B, 2015, 20 (10) : 3415-3434. doi: 10.3934/dcdsb.2015.20.3415 |
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Baolan Yuan, Wanjun Zhang, Yubo Yuan. A Max-Min clustering method for $k$-means algorithm of data clustering. Journal of Industrial and Management Optimization, 2012, 8 (3) : 565-575. doi: 10.3934/jimo.2012.8.565 |
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Meixia Li, Changyu Wang, Biao Qu. Non-convex semi-infinite min-max optimization with noncompact sets. Journal of Industrial and Management Optimization, 2017, 13 (4) : 1859-1881. doi: 10.3934/jimo.2017022 |
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Hermes H. Ferreira, Artur O. Lopes, Silvia R. C. Lopes. Decision Theory and large deviations for dynamical hypotheses tests: The Neyman-Pearson Lemma, Min-Max and Bayesian tests. Journal of Dynamics and Games, 2022, 9 (2) : 123-150. doi: 10.3934/jdg.2021031 |
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Abd El-Monem A. Megahed, Ebrahim A. Youness, Hebatallah K. Arafat. Optimization method in counter terrorism: Min-Max zero-sum differential game approach. Numerical Algebra, Control and Optimization, 2022 doi: 10.3934/naco.2022013 |
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Gaoxi Li, Zhongping Wan, Jia-wei Chen, Xiaoke Zhao. Necessary optimality condition for trilevel optimization problem. Journal of Industrial and Management Optimization, 2020, 16 (1) : 55-70. doi: 10.3934/jimo.2018140 |
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Jianxin Zhou. Optimization with some uncontrollable variables: a min-equilibrium approach. Journal of Industrial and Management Optimization, 2007, 3 (1) : 129-138. doi: 10.3934/jimo.2007.3.129 |
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R.G. Duran, J.I. Etcheverry, J.D. Rossi. Numerical approximation of a parabolic problem with a nonlinear boundary condition. Discrete and Continuous Dynamical Systems, 1998, 4 (3) : 497-506. doi: 10.3934/dcds.1998.4.497 |
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G. Acosta, Julián Fernández Bonder, P. Groisman, J.D. Rossi. Numerical approximation of a parabolic problem with a nonlinear boundary condition in several space dimensions. Discrete and Continuous Dynamical Systems - B, 2002, 2 (2) : 279-294. doi: 10.3934/dcdsb.2002.2.279 |
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Xianjin Chen, Jianxin Zhou. A local min-orthogonal method for multiple solutions of strongly coupled elliptic systems. Conference Publications, 2009, 2009 (Special) : 151-160. doi: 10.3934/proc.2009.2009.151 |
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Thierry Horsin, Peter I. Kogut, Olivier Wilk. Optimal $L^2$-control problem in coefficients for a linear elliptic equation. II. Approximation of solutions and optimality conditions. Mathematical Control and Related Fields, 2016, 6 (4) : 595-628. doi: 10.3934/mcrf.2016017 |
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Blaine Keetch, Yves van Gennip. A Max-Cut approximation using a graph based MBO scheme. Discrete and Continuous Dynamical Systems - B, 2019, 24 (11) : 6091-6139. doi: 10.3934/dcdsb.2019132 |
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Shaojun Lan, Yinghui Tang, Miaomiao Yu. System capacity optimization design and optimal threshold $N^{*}$ for a $GEO/G/1$ discrete-time queue with single server vacation and under the control of Min($N, V$)-policy. Journal of Industrial and Management Optimization, 2016, 12 (4) : 1435-1464. doi: 10.3934/jimo.2016.12.1435 |
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Nazih Abderrazzak Gadhi, Khadija Hamdaoui. Optimality results for a specific fractional problem. Journal of Industrial and Management Optimization, 2022, 18 (1) : 367-373. doi: 10.3934/jimo.2020157 |
[18] |
Wenxing Zhu, Yanpo Liu, Geng Lin. Speeding up a memetic algorithm for the max-bisection problem. Numerical Algebra, Control and Optimization, 2015, 5 (2) : 151-168. doi: 10.3934/naco.2015.5.151 |
[19] |
Dieudonné Nijimbere, Songzheng Zhao, Xunhao Gu, Moses Olabhele Esangbedo, Nyiribakwe Dominique. Tabu search guided by reinforcement learning for the max-mean dispersion problem. Journal of Industrial and Management Optimization, 2021, 17 (6) : 3223-3246. doi: 10.3934/jimo.2020115 |
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A. C. Eberhard, C.E.M. Pearce. A sufficient optimality condition for nonregular problems via a nonlinear Lagrangian. Numerical Algebra, Control and Optimization, 2012, 2 (2) : 301-331. doi: 10.3934/naco.2012.2.301 |
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