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Dynamic programming with Pareto sets
Journal of Applied and Industrial Mathematics, 2010Under study is the problem of optimal allocation of a resource, and a dynamic programming scheme is proposed for its solution. Instead of the recurrent equations, the stepwise computation of the Pareto-optimal points is used on the plane of values of the target function and resource. Some examples demonstrate the efficiency of this approach.
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Regularization of a set of Pareto points
USSR Computational Mathematics and Mathematical Physics, 1978Abstract THE PROBLEM of finding a set Pareto points is regularized. A genelization of the Arrow—Barankin—Blackwell theorem is proved. The connection between the set of Pareto points and competitive games is established.
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Ordering Pareto Sets with Fuzzy Inference Systems
2013Even though elements in the Pareto set of a given multi-objective problem represent optimal solutions, additional information may be available about a preference on these solutions. We propose to use the Pareto frontier obtained for a problem to discard dominated solutions and a fuzzy system to order the non-dominated ones.
Sandra A. Sandri +2 more
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A note of fuzzy programming and the pareto optimal set
Fuzzy Sets and Systems, 1984zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Strengthened Pareto Equilibrium for Games on Intersecting Sets*
Cybernetics and Systems Analysis, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Review of Pareto Pruning Methods for Multi-Objective Optimization
Computers and Industrial Engineering, 2022Sanyapong Petchrompo +2 more
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A New Many-Objective Evolutionary Algorithm Based on Generalized Pareto Dominance
IEEE Transactions on Cybernetics, 2022Shuwei Zhu, Erik D. Goodman, Zhichao Lu
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On Pareto-Optimality in the Cross-Efficiency Evaluation
European Journal of Operational Research, 2021Tong Ye, Mostafa Davtalab-Olyaie
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