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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.

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