Stability and regularization of vector optimization problems under possible criteria disturbances

DOI10.1007/s10559-022-00505-7OpenAlexW4310535562MaRDI QIDQ2103824

T. T. Lebedeva, N. V. Semenova, Tatyana I. Sergienko

Publication date: 9 December 2022

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-022-00505-7

zbMATH Keywords

regularizationPareto-optimal solutionsstability with respect to vector criterionvector problemSlater setdisturbances of initial data

Mathematics Subject Classification ID

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

Related Items (3)

Regularization of the vector problem with quadratic criteria of Pareto optimization ⋮ Approach to assessing the stability of solutions obtained by multicriteria methods against errors of the values of indicator importance coefficients ⋮ Multi-criteria optimization problems with vector heterogeneous convolutions of criteria

Cites Work

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• Stability of vector problems of integer optimization: relationship with the stability of sets of optimal and nonoptimal solutions
• Vector Optimization
• Multicriteria Optimization
• Existence of solutions in vector optimization problems
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