Journal of Nonlinear and Variational Analysis

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DOI: 10.23952/jnva.11.2027.1.10

Volume 11, Issue 1, 1 February 2027, Pages 215-237

 

Abstract. In this paper, a pessimistic and optimistic robust approach is introduced to deal with uncertain optimization problems whose final space is equipped with a preference structure, which provides new insights concerning the so-called minmax and minmin solutions of uncertain vector and set optimization problems. In addition, a scalarization scheme is stated to address this robust approach which is applied to vector and set optimization problems with variable domination structures. Finally, pessimistic and optimistic robust solutions of uncertain set optimization problems with variable domination structures and a finite set of scenarios are characterized through scalarization.

 

How to Cite this Article:
César Gutiérrez, Pessimistic and optimistic robust solutions with preference structures, J. Nonlinear Var. Anal. 11 (2027), 215-237.