A note on the connectedness of the efficient frontier

被引：0

作者：

Cambini, R. ^{[1
]}

Marchi, A. ^{[1
]}

机构：

[1] Univ Pisa, Fac Econ, Dept Stat & Appl Math, Via Cosimo Ridolfi,10, I-56124 Pisa, Italy

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2005年 / 8卷 / 01期

关键词：

Multiobjective optimization; efficient frontier; quasiconcave sets;

D O I：

10.1080/09720502.2005.10700386

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to study sufficient conditions for the connectedness of the efficient frontier. We propose an unifying approach, based on a new regularity concept, which allows to generalize the results in [1, 6]. Connectedness results are studied for both V-compact and not V-compact sets. The obtained results are finally used to study the connectedness of the efficient frontier of continuous multiobjective functions.

引用

页码：21 / 37

页数：17

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