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Robust optimality, duality and saddle points for multiobjective fractional semi-infinite optimization with uncertain data

Authors :
Xinyi Feng
Kok Lay Teo
Xiangkai Sun
Source :
Optimization Letters. 16:1457-1476
Publication Year :
2021
Publisher :
Springer Science and Business Media LLC, 2021.

Abstract

This paper is devoted to the investigation of a class of uncertain multiobjective fractional semi-infinite optimization problems ( $$UMFP $$ , for brevity). We first obtain, by combining robust optimization and scalarization methodologies, necessary and sufficient optimality conditions for robust approximate weakly efficient solutions of ( $$UMFP $$ ). Then, we introduce a Mixed type approximate dual problem for ( $$UMFP $$ ) and investigate their robust approximate duality relationships. Moreover, we obtain some robust approximate weak saddle point theorems for an uncertain multiobjective Lagrangian function related to ( $$UMFP $$ ).

Details

ISSN :
18624480 and 18624472
Volume :
16
Database :
OpenAIRE
Journal :
Optimization Letters
Accession number :
edsair.doi...........493d5b70faca4e7a5a896c106a09cb47