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Integral Global Optimality Conditions and an Algorithm for Multiobjective Problems.

Authors :
Silva, Everton J.
Karas, Elizabeth W.
Santos, Lucelina B.
Source :
Numerical Functional Analysis & Optimization. 2022, Vol. 43 Issue 10, p1265-1288. 24p.
Publication Year :
2022

Abstract

In this work, we propose integral global optimality conditions for multiobjective problems not necessarily differentiable. The integral characterization, already known for single objective problems, are extended to multiobjective problems by weighted sum and Chebyshev weighted scalarizations. Using this last scalarization, we propose an algorithm for obtaining an approximation of the weak Pareto front whose effectiveness is illustrated by solving a collection of multiobjective test problems. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01630563
Volume :
43
Issue :
10
Database :
Academic Search Index
Journal :
Numerical Functional Analysis & Optimization
Publication Type :
Academic Journal
Accession number :
158144782
Full Text :
https://doi.org/10.1080/01630563.2022.2098503