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Erschienen in: Soft Computing 11/2014

01.11.2014 | Methodologies and Application

Compatibility of interval fuzzy preference relations with the COWA operator and its application to group decision making

verfasst von: Ligang Zhou, Yingdong He, Huayou Chen, Jinpei Liu

Erschienen in: Soft Computing | Ausgabe 11/2014

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Abstract

We develop a new compatibility for the interval fuzzy preference relations based on the continuous ordered weighted averaging (COWA) operator and use it to determine the weights of experts in group decision making (GDM). We define some concepts of the compatibility degree and the compatibility index for the two interval fuzzy preference relations based on the COWA operator. We study some desirable properties of the compatibility index and investigate the relationship between the each expert’s interval fuzzy preference relation and the synthetic interval fuzzy preference relation. The prominent characteristic of the compatibility index based on the COWA operator is that it can deal with the compatibility of all the arguments by using a controlled parameter considering the attitude of decision maker rather than the compatibility of the simply two points in intervals. To determine the experts’ weights in the GDM with the interval fuzzy preference relations, we propose an optimal model based on the criterion of minimizing the compatibility index. In the end, we give a numerical example to develop the new approach to GDM with interval fuzzy preference relations.

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Metadaten
Titel
Compatibility of interval fuzzy preference relations with the COWA operator and its application to group decision making
verfasst von
Ligang Zhou
Yingdong He
Huayou Chen
Jinpei Liu
Publikationsdatum
01.11.2014
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 11/2014
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-013-1201-9

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