Abstract
In this paper, a new nonlinear scalarization function, which is a generalization of the oriented distance function, is introduced. Some properties of the function are discussed. Then the function is applied to obtain some new optimality conditions and scalar representations for set-valued vector optimization problems with set optimization criteria. In terms of the function and the image space analysis, some new alternative results for generalized parametric systems are derived.
Acknowledgements
The authors thank the two anonymous reviewers for their valuable comments and suggestions, which helped to improve the paper.
Conflict of interest disclosure statement
No potential conflict of interest was reported by the author(s).