In this research, we propose computational methods to evaluate scalarizing functions, which are defined via set-relations. In recent years, many theoretical results of the scalarizing functions for sets have been published. The aim of this paper is to show that each value of the scalarizing functions can be computed and to introduce computational algorithms of them for convex polytopes in a finite dimensional space.
This work was supported by JSPS KAKENHI Grant Number 26400194 (Grant-in-Aid for Scientific Research (KAKENHI) (C) from Japan Society for the Promotion of Science (JSPS)).
"Computational methods for set-relation-based scalarizing functions." Nihonkai Math. J. 28 (2) 139 - 149, 2017.