Abstract
In this paper, we characterize several known set relations with respect to variable domination structures by defining scalarization functions in terms of the oriented distance function. The characterization of minimal elements of a family of sets and the properties of sets of minimal elements are discussed by means of scalarization functionals. An application of variable domination structures to uncertain vector optimization is also given.
| Original language | English |
|---|---|
| Pages (from-to) | 1389-1407 |
| Number of pages | 19 |
| Journal | Optimization |
| Volume | 67 |
| Issue number | 9 |
| DOIs | |
| State | Published - 2 Sep 2018 |
Bibliographical note
Publisher Copyright:© 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.
Keywords
- 49J53
- 90C29
- Oriented distance function
- optimality conditions
- set optimization
- set relations
- variable domination structures
ASJC Scopus subject areas
- Control and Optimization
- Management Science and Operations Research
- Applied Mathematics
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