Measuring criteria weights by means of Dimension Theory.

• Volume: 13, Issue: 3, page 173-188
• ISSN: 1134-5632

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Abstract

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Measuring criteria weights in multicriteria decision making is a key issue in order to amalgamate information when reality is being described from several different points of view. In this paper we propose a method for evaluating those weights taking advantage of Dimension Theory, which allows the representation of the set of alternatives within a real space, provided that decision maker preferences satisfy certain consistency conditions. Such a representation allows a first information about possible underlying criteria in decision maker's mind. In particular, we propose to measure the importance of those underlying criteria by means of all possible representations associated to the dimension of the binary preference relations between criteria, each one being understood as a linear order of the set of alternatives.

How to cite

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Gómez, Daniel, Montero de Juan, Javier, and Yáñez Gestoso, Javier. "Measuring criteria weights by means of Dimension Theory.." Mathware and Soft Computing 13.3 (2006): 173-188. <http://eudml.org/doc/41880>.

@article{Gómez2006,
abstract = {Measuring criteria weights in multicriteria decision making is a key issue in order to amalgamate information when reality is being described from several different points of view. In this paper we propose a method for evaluating those weights taking advantage of Dimension Theory, which allows the representation of the set of alternatives within a real space, provided that decision maker preferences satisfy certain consistency conditions. Such a representation allows a first information about possible underlying criteria in decision maker's mind. In particular, we propose to measure the importance of those underlying criteria by means of all possible representations associated to the dimension of the binary preference relations between criteria, each one being understood as a linear order of the set of alternatives.},
author = {Gómez, Daniel, Montero de Juan, Javier, Yáñez Gestoso, Javier},
journal = {Mathware and Soft Computing},
keywords = {Procesos de decisión; Multicriterios; Teoría de la dimensión; Relación de preferencia; multicriteria decision analysis; valued preference relations},
language = {eng},
number = {3},
pages = {173-188},
title = {Measuring criteria weights by means of Dimension Theory.},
url = {http://eudml.org/doc/41880},
volume = {13},
year = {2006},
}

TY - JOUR
AU - Gómez, Daniel
AU - Montero de Juan, Javier
AU - Yáñez Gestoso, Javier
TI - Measuring criteria weights by means of Dimension Theory.
JO - Mathware and Soft Computing
PY - 2006
VL - 13
IS - 3
SP - 173
EP - 188
AB - Measuring criteria weights in multicriteria decision making is a key issue in order to amalgamate information when reality is being described from several different points of view. In this paper we propose a method for evaluating those weights taking advantage of Dimension Theory, which allows the representation of the set of alternatives within a real space, provided that decision maker preferences satisfy certain consistency conditions. Such a representation allows a first information about possible underlying criteria in decision maker's mind. In particular, we propose to measure the importance of those underlying criteria by means of all possible representations associated to the dimension of the binary preference relations between criteria, each one being understood as a linear order of the set of alternatives.
LA - eng
KW - Procesos de decisión; Multicriterios; Teoría de la dimensión; Relación de preferencia; multicriteria decision analysis; valued preference relations
UR - http://eudml.org/doc/41880
ER -

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