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.

引用

页码：721 / 726

页数：6

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