Rationality of induced ordered weighted operators based on the reliability of the source of information in group decision-making

Francisco Chiclana; Francisco Herrera; Enrique Herrera-Viedma

Kybernetika (2004)

  • Volume: 40, Issue: 1, page [121]-142
  • ISSN: 0023-5954

Abstract

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The aggregation of preference relations in group decision-making (GDM) problems can be carried out based on either the reliability of the preference values to be aggregated, as is the case with ordered weighted averaging operators, or on the reliability of the source of information that provided the preferences, as is the case with weighted mean operators. In this paper, we address the problem of aggregation based on the reliability of the source of information, with a double aim: a) To provide a general framework for induced ordered weighted operators based upon the source of information, and b) to provide a study of their rationality. We study the conditions which need to be verified by an aggregation operator in order to maintain the rationality assumptions on the individual preferences in the aggregation phase of the selection process of alternatives. In particular, we show that any aggregation operator based on the reliability of the source of information does verify these conditions.

How to cite

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Chiclana, Francisco, Herrera, Francisco, and Herrera-Viedma, Enrique. "Rationality of induced ordered weighted operators based on the reliability of the source of information in group decision-making." Kybernetika 40.1 (2004): [121]-142. <http://eudml.org/doc/33689>.

@article{Chiclana2004,
abstract = {The aggregation of preference relations in group decision-making (GDM) problems can be carried out based on either the reliability of the preference values to be aggregated, as is the case with ordered weighted averaging operators, or on the reliability of the source of information that provided the preferences, as is the case with weighted mean operators. In this paper, we address the problem of aggregation based on the reliability of the source of information, with a double aim: a) To provide a general framework for induced ordered weighted operators based upon the source of information, and b) to provide a study of their rationality. We study the conditions which need to be verified by an aggregation operator in order to maintain the rationality assumptions on the individual preferences in the aggregation phase of the selection process of alternatives. In particular, we show that any aggregation operator based on the reliability of the source of information does verify these conditions.},
author = {Chiclana, Francisco, Herrera, Francisco, Herrera-Viedma, Enrique},
journal = {Kybernetika},
keywords = {aggregation operators; induced aggregation; group decision- making; preference relations; rationality; consistency; aggregation operator; induced aggregation; group decision-making; preference relation; rationality; consistency},
language = {eng},
number = {1},
pages = {[121]-142},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Rationality of induced ordered weighted operators based on the reliability of the source of information in group decision-making},
url = {http://eudml.org/doc/33689},
volume = {40},
year = {2004},
}

TY - JOUR
AU - Chiclana, Francisco
AU - Herrera, Francisco
AU - Herrera-Viedma, Enrique
TI - Rationality of induced ordered weighted operators based on the reliability of the source of information in group decision-making
JO - Kybernetika
PY - 2004
PB - Institute of Information Theory and Automation AS CR
VL - 40
IS - 1
SP - [121]
EP - 142
AB - The aggregation of preference relations in group decision-making (GDM) problems can be carried out based on either the reliability of the preference values to be aggregated, as is the case with ordered weighted averaging operators, or on the reliability of the source of information that provided the preferences, as is the case with weighted mean operators. In this paper, we address the problem of aggregation based on the reliability of the source of information, with a double aim: a) To provide a general framework for induced ordered weighted operators based upon the source of information, and b) to provide a study of their rationality. We study the conditions which need to be verified by an aggregation operator in order to maintain the rationality assumptions on the individual preferences in the aggregation phase of the selection process of alternatives. In particular, we show that any aggregation operator based on the reliability of the source of information does verify these conditions.
LA - eng
KW - aggregation operators; induced aggregation; group decision- making; preference relations; rationality; consistency; aggregation operator; induced aggregation; group decision-making; preference relation; rationality; consistency
UR - http://eudml.org/doc/33689
ER -

References

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