Scalarizations and its stability in vector optimization

Enrico Miglierina

doi:10.1023/A:1016031214488

Scalarizations and its stability in vector optimization

Enrico Miglierina

Risultato della ricerca: Contributo in rivista › Articolo in rivista › peer review

44 Citazioni (Scopus)

Abstract

A class of scalarizations of vector optimization problems is studied in order to characterize weakly efficient, efficient, and properly efficient points of a nonconvex vector problem. A parallelism is established between the different solutions of the scalarized problem and the various efficient frontiers. In particular, properly efficient points correspond to stable solutions with respect to suitable perturbations of the feasible set.

Lingua originale	English
pagine (da-a)	657-670
Numero di pagine	14
Rivista	Journal of Optimization Theory and Applications
Volume	114
DOI	https://doi.org/10.1023/A:1016031214488
Stato di pubblicazione	Pubblicato - 2002

Keywords

Vector optimization
scalarization
set convergence
well-posedness

Accesso al documento

10.1023/A:1016031214488

Altri file e collegamenti

Cita questo

@article{fff3a875e59843b1899a41fa9a55305e,

title = "Scalarizations and its stability in vector optimization",

abstract = "A class of scalarizations of vector optimization problems is studied in order to characterize weakly efficient, efficient, and properly efficient points of a nonconvex vector problem. A parallelism is established between the different solutions of the scalarized problem and the various efficient frontiers. In particular, properly efficient points correspond to stable solutions with respect to suitable perturbations of the feasible set.",

keywords = "Vector optimization, scalarization, set convergence, well-posedness, Vector optimization, scalarization, set convergence, well-posedness",

author = "Enrico Miglierina",

year = "2002",

doi = "10.1023/A:1016031214488",

language = "English",

volume = "114",

pages = "657--670",

journal = "Journal of Optimization Theory and Applications",

issn = "0022-3239",

publisher = "Springer New York",

}

TY - JOUR

T1 - Scalarizations and its stability in vector optimization

AU - Miglierina, Enrico

PY - 2002

Y1 - 2002

N2 - A class of scalarizations of vector optimization problems is studied in order to characterize weakly efficient, efficient, and properly efficient points of a nonconvex vector problem. A parallelism is established between the different solutions of the scalarized problem and the various efficient frontiers. In particular, properly efficient points correspond to stable solutions with respect to suitable perturbations of the feasible set.

AB - A class of scalarizations of vector optimization problems is studied in order to characterize weakly efficient, efficient, and properly efficient points of a nonconvex vector problem. A parallelism is established between the different solutions of the scalarized problem and the various efficient frontiers. In particular, properly efficient points correspond to stable solutions with respect to suitable perturbations of the feasible set.

KW - Vector optimization

KW - scalarization

KW - set convergence

KW - well-posedness

KW - Vector optimization

KW - scalarization

KW - set convergence

KW - well-posedness

UR - http://hdl.handle.net/10807/1831

UR - http://www.springerlink.com/content/qx0vrtwrq8t3jr60/?mud=mp

U2 - 10.1023/A:1016031214488

DO - 10.1023/A:1016031214488

M3 - Article

SN - 0022-3239

VL - 114

SP - 657

EP - 670

JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

ER -

Scalarizations and its stability in vector optimization

Abstract

Keywords

Accesso al documento

Altri file e collegamenti

Fingerprint

Cita questo