Structure of Efficient Sets for Strictly Quasi Convex Objectives

@inproceedings{Malivert1994StructureOE,
title={Structure of Efficient Sets for Strictly Quasi Convex Objectives},
author={C. Malivert and N. Boissard},
year={1994}
}

C. Malivert, N. Boissard

Published 1994

This paper studies the weak efficient set (WEff P ) of a minimization problem P with k objectives defined on a convex set X of IRn. These objectives are continuous and belong to the class of so-called strictly quasiconvex functions, which contains, in particular, convex as well as linear fractional functions. When k is greater than n, it is of interest to replace the original problem by several subproblems, having at most n objectives. We show that if WEff P is bounded, the knowledge of the… CONTINUE READING