A unified approach for characterizing Pareto optimal solutions of multiobjective optimization problems: The hyperplane method

DOI10.1016/0377-2217(89)90353-6zbMath0677.90069OpenAlexW2020279610MaRDI QIDQ1123814

Hitoshi Yano, Masatoshi Sakawa

Publication date: 1989

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-2217(89)90353-6

zbMATH Keywords

multiobjective optimizationscalarizationPareto optimal solutionshyperplane problemweighting \(\ell _ p\)- norm problemweighting minimax problem

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Management decision making, including multiple objectives (90B50)

Related Items (8)

Extended proportionality in division problems with multiple references ⋮ The Role of Cardinal Utilities in Multiple Objective Programming ⋮ Trade-off rates in the hyperplane method for multiobjective optimization problems ⋮ Multicriteria optimization with a multiobjective golden section line search ⋮ Generalized hyperplane methods for characterizing \(\Lambda\)-extreme points and trade-off rates for multiobjective optimization problems ⋮ Characterizations of efficient and weakly efficient points in nonconvex vector optimization ⋮ Multicriteria goal games ⋮ Vector linear programming in zero-sum multicriteria matrix games

Cites Work

• Introduction to sensitivity and stability analysis in nonlinear programming
• Some characterizations of the optimal solutions of a vector optimization problem
• On the characterization of noninferior solutions of the vector optimization problem
• Kuhn-Tucker multipliers as trade-offs in multiobjective decision-making analysis
• Proper efficiency and the theory of vector maximization
• Proper Efficiency in Nonconvex Multicriteria Programming
• An interactive fuzzy satisficing method using augmented minimax problems and its application to environmental systems
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