# A characterization of value efficiency.

Extracta Mathematicae (1996)

• Volume: 11, Issue: 3, page 493-498
• ISSN: 0213-8743

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## Abstract

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An important issue in multi-attribute decision making consists of identifying the set of efficient solutions. The importance of this set is that the decision maker (DM) can restrict his attention to it, discarding all other solutions, because a nonefficient solution can never be optimal. Several methods have been developed to aid a DM in generating all or representative subsets of efficient solutions, [1] and [4], or to approximate it [7]. However most of these methods may be hard to apply to nonlinear problems being very difficult in that case to generate the efficient set. In this paper, we propose a characterization of the effective set for imprecise vector value functions, which intends to facilitate the checking of the efficiency.

## How to cite

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Mateos, Alfonso, and Ríos-Insua, Sixto. "A characterization of value efficiency.." Extracta Mathematicae 11.3 (1996): 493-498. <http://eudml.org/doc/38493>.

@article{Mateos1996,
abstract = {An important issue in multi-attribute decision making consists of identifying the set of efficient solutions. The importance of this set is that the decision maker (DM) can restrict his attention to it, discarding all other solutions, because a nonefficient solution can never be optimal. Several methods have been developed to aid a DM in generating all or representative subsets of efficient solutions, [1] and [4], or to approximate it [7]. However most of these methods may be hard to apply to nonlinear problems being very difficult in that case to generate the efficient set. In this paper, we propose a characterization of the effective set for imprecise vector value functions, which intends to facilitate the checking of the efficiency.},
author = {Mateos, Alfonso, Ríos-Insua, Sixto},
journal = {Extracta Mathematicae},
keywords = {Teoría de la decisión; Programación multiobjetivo; Programación multicriterio; Teoría de la medida; efficient set; imprecise vector value functions; multi-attribute decision making},
language = {eng},
number = {3},
pages = {493-498},
title = {A characterization of value efficiency.},
url = {http://eudml.org/doc/38493},
volume = {11},
year = {1996},
}

TY - JOUR
AU - Mateos, Alfonso
AU - Ríos-Insua, Sixto
TI - A characterization of value efficiency.
JO - Extracta Mathematicae
PY - 1996
VL - 11
IS - 3
SP - 493
EP - 498
AB - An important issue in multi-attribute decision making consists of identifying the set of efficient solutions. The importance of this set is that the decision maker (DM) can restrict his attention to it, discarding all other solutions, because a nonefficient solution can never be optimal. Several methods have been developed to aid a DM in generating all or representative subsets of efficient solutions, [1] and [4], or to approximate it [7]. However most of these methods may be hard to apply to nonlinear problems being very difficult in that case to generate the efficient set. In this paper, we propose a characterization of the effective set for imprecise vector value functions, which intends to facilitate the checking of the efficiency.
LA - eng
KW - Teoría de la decisión; Programación multiobjetivo; Programación multicriterio; Teoría de la medida; efficient set; imprecise vector value functions; multi-attribute decision making
UR - http://eudml.org/doc/38493
ER -

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