Pairwise comparisons are a well-known method for the representation of the subjective preferences of a decision maker. Evaluating their inconsistency has been a widely studied and discussed topic and several indices have been proposed in the literature to perform this task. Since an acceptable level of consistency is closely related with the reliability of preferences, a suitable choice of an inconsistency index is a crucial phase in decision making processes. The use of different methods for measuring consistency must be carefully evaluated, as it can affect the decision outcome in practical applications. In this paper, we present five axioms aimed at characterizing inconsistency indices. In addition, we prove that some of the indices proposed in the literature satisfy these axioms, while others do not, and therefore, in our view, they may fail to correctly evaluate inconsistency

Axiomatic properties of inconsistency indices for pairwise comparisons / Brunelli, Matteo; Fedrizzi, Michele. - In: JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY. - ISSN 0160-5682. - STAMPA. - 2015 vol. 66:1(2015), pp. 1-15. [10.1057/jors.2013.135]

Axiomatic properties of inconsistency indices for pairwise comparisons

Brunelli, Matteo;Fedrizzi, Michele
2015

Abstract

Pairwise comparisons are a well-known method for the representation of the subjective preferences of a decision maker. Evaluating their inconsistency has been a widely studied and discussed topic and several indices have been proposed in the literature to perform this task. Since an acceptable level of consistency is closely related with the reliability of preferences, a suitable choice of an inconsistency index is a crucial phase in decision making processes. The use of different methods for measuring consistency must be carefully evaluated, as it can affect the decision outcome in practical applications. In this paper, we present five axioms aimed at characterizing inconsistency indices. In addition, we prove that some of the indices proposed in the literature satisfy these axioms, while others do not, and therefore, in our view, they may fail to correctly evaluate inconsistency
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Brunelli, Matteo; Fedrizzi, Michele
Axiomatic properties of inconsistency indices for pairwise comparisons / Brunelli, Matteo; Fedrizzi, Michele. - In: JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY. - ISSN 0160-5682. - STAMPA. - 2015 vol. 66:1(2015), pp. 1-15. [10.1057/jors.2013.135]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11572/33857
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