Stability and Regularization of Vector Optimization Problems Under Possible Criteria Disturbances

被引：3
|
作者：
Lebedeva, T. T. [1 ]
Semenova, N. V. [1 ]
Sergienko, T. I. [1 ]
机构：
[1] Natl Acad Sci Ukraine, VM Glushkov Inst Cybernet, Kiev, Ukraine
来源：
CYBERNETICS AND SYSTEMS ANALYSIS | 2022年 / 58卷 / 05期
关键词：
vector problem; Pareto-optimal solutions; Slater set; stability with respect to vector criterion; disturbances of initial data; regularization;
D O I：
10.1007/s10559-022-00505-7
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
New results are provided regarding the stability and regularization of vector (multi-criteria) optimization problems under possible disturbances of input data of the vector criterion consisting of quadratic or linear functions. The stability of problems with quadratic criteria for finding Slater-optimal solutions is proved. In the case of Pareto optimization, an approach to the regularization of problems with linear criterion functions is developed.
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页码：721 / 726
页数：6
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