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