Axiomatizations of inconsistency indices for triads

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Axiomatizations of inconsistency indices for triads

Pairwise comparison matrices often exhibit inconsistency, therefore, a number of indices has been introduced to measure their deviation from a consistent matrix. Since inconsistency first emerges in the case of three alternatives, several inconsistency indices are based on triads. Recently, a set of axioms has been proposed, and is required to be satisfied by any reasonable inconsistency index....

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A vast amount of indices has been proposed in the literature [1] to quantify the deviation of a pairwise comparison matrix A = (aij)n×n from the consistency property aik = aijajk ∀i, j, k. In this paper we propose a unifying approach by expressing an inconsistency index as a function of the matrix entries aij satisfying a set of suitable properties. More precisely, we first consider the ‘local’...

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ژورنال

عنوان ژورنال: Annals of Operations Research

سال: 2019

ISSN: 0254-5330,1572-9338

DOI: 10.1007/s10479-019-03312-0