On a practical notion of Geoffrion proper optimality in multicriteria optimization

DOI10.1080/02331934.2019.1613403zbMath1452.90294OpenAlexW2946647205MaRDI QIDQ5131816

Kalyanmoy Deb, Poonam Kesarwani, Joydeep Dutta, Pradyumn Kumar Shukla

Publication date: 9 November 2020

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2019.1613403

zbMATH Keywords

approximate solutionsmulticriteria optimizationtrade-offsGeoffrion proper optimality

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Management decision making, including multiple objectives (90B50) Approximation methods and heuristics in mathematical programming (90C59)

Related Items

Approximations for Pareto and proper Pareto solutions and their KKT conditions, Slack-based generalized Tchebycheff norm scalarization approaches for solving multiobjective optimization problems, On the sensitivity of Pareto efficiency in set-valued optimization problems

Cites Work

• On Benson's scalarization in multiobjective optimization
• Geoffrion type characterization of higher-order properly efficient points in vector optimization
• Relative importance of criteria in multiobjective programming: a cone-based approach
• Theory of multiobjective optimization
• Existence theorems in vector optimization
• An improved definition of proper efficiency for vector maximization with respect to cones
• Proper efficiency with respect to cones
• Existence of efficient solutions for vector maximization problems
• Unified representation of proper efficiency by means of dilating cones
• Nonlinear multiobjective optimization
• On several concepts for \(\varepsilon\)-efficiency
• \(\varepsilon\)-properly efficient solutions to nondifferentiable multiobjective programming problems
• Definition and characterization of Geoffrion proper efficiency for real vector optimization with infinitely many criteria
• Proper efficiency and the theory of vector maximization
• ON APPROXIMATE MINIMA IN VECTOR OPTIMIZATION
• Advances in Cone-Based Preference Modeling for Decision Making with Multiple Criteria
• Adaptive Scalarization Methods in Multiobjective Optimization
• Proper Efficient Points for Maximizations with Respect to Cones
• Super Efficiency in Vector Optimization
• Multicriteria Optimization
• Existence of \(\varepsilon\)-minima for vector optimization problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item