Graphical interpretation of outranking principles: Avoiding misinterpretation results from ELECTRE I
Abstract
Purpose
This study aims to use a graphical approach to highlight the differences between outranking and preference relationships. The outranking principle is based on a structure of non-dominance, which differs from the usual structures of preferences.
Design/methodology/approach
To reach the objective, the paper makes a deep analysis of outranking and preference relationships and uses graphical representation to highlight the differences between these two concepts. Graphical interpretation is also used to support the results form ELECTRE I and to highlight misinterpretation of results, such as rank reversal in ELECTRE I.
Findings
The results show that the assumption of rank reversal while using ELECTRE I is a mistake.
Originality/value
It was not found in literature a previous work paper that demonstrates a result like this one.
Keywords
Acknowledgements
The author would like to acknowledge the National Council of Technological and Scientific Development (Conselho Nacional de Desenvolvimento Científico e Tecnológico, Brazil) and thank Tais Fernandes Costa for the pictures in Figures 1 and 16. The author would also like to thank the reviewers of the paper, the Editorial Board of JM2 and those who supported the publication process, especially Mrs Wendy Weaver and Ms Louise Robb. The contributions from this team have improved the paper quality.
Citation
Costa, H.G. (2016), "Graphical interpretation of outranking principles: Avoiding misinterpretation results from ELECTRE I", Journal of Modelling in Management, Vol. 11 No. 1, pp. 26-42. https://doi.org/10.1108/JM2-08-2013-0037
Publisher
:Emerald Group Publishing Limited
Copyright © 2016, Emerald Group Publishing Limited