A note on the connectedness of the efficient frontier

DOI10.1080/09720502.2005.10700386zbMath1153.90531OpenAlexW2016570666MaRDI QIDQ3370558

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Publication date: 8 February 2006

Published in: Journal of Interdisciplinary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09720502.2005.10700386

zbMATH Keywords

efficient frontierMultiobjective optimizationquasiconcave sets

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31)

Related Items (1)

Generating the efficient frontier of a class of bicriteria generalized fractional programming

Cites Work

• Theory of multiobjective optimization
• Quasiconcave vector maximization: Connectedness of the sets of Pareto- optimal and weak Pareto-optimal alternatives
• Connectedness of the efficient set of strictly quasiconcave sets
• Connectedness of the efficient set in strictly quasiconcave vector maximization
• Connectedness of the efficient set for three-objective quasiconcave maximization problems
• Connectedness of the efficient point sets in quasiconcave vector maximization
• On the connectedness of the efficient set for strictly quasiconvex vector minimization problems
• On the existence of efficient points

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