| Autor: |
Khushboo, Lalitha, C.S., Khushboo, Lalitha, C.S. |
| Zdroj: |
RAIRO - Operations Research; November 2021, Vol. 55 Issue: 6 p3603-3616, 14p |
| Abstrakt: |
This paper deals with scalarization and stability aspects for a unified set optimization problem. We provide characterization for a unified preference relation and the corresponding unified minimal solution in terms of a generalized oriented distance function of the sup-inf type. We establish continuity of a function associated with the generalized oriented distance function and provide an existence result for the unified minimal solution. We establish Painlevé–Kuratowski convergence of minimal solutions of a family of scalar problems to the minimal solutions of the unified set optimization problem. |
| Databáze: |
Supplemental Index |
| Externí odkaz: |
|
