A general formulation for some inconsistency indices of pairwise comparisons

Matteo Brunelli () and Michele Fedrizzi ()
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Matteo Brunelli: University of Trento
Michele Fedrizzi: University of Trento

Annals of Operations Research, 2019, vol. 274, issue 1, No 8, 155-169

Abstract: Abstract We propose a unifying approach to the problem of measuring the inconsistency of judgments. More precisely, we define a general framework to allow several well-known inconsistency indices to be expressed as special cases of this new formulation. We consider inconsistency indices as aggregations of ‘local’, i.e. triple-based, inconsistencies. We show that few reasonable assumptions guarantee a set of good properties for the obtained general inconsistency index. Under this representation, we prove a property of Pareto efficiency and show that OWA functions and t-conorms are suitable aggregation functions of local inconsistencies. We argue that the flexibility of this proposal allows tuning of the index. For example, by using different types of OWA functions, the analyst can obtain the desired balance between an averaging behavior and a ‘largest inconsistency-focused’ behavior.

Keywords: Pairwise comparisons; Multiplicative preference relations; Consistency; Inconsistency index; Analytic hierarchy process; Aggregation; OWA functions (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10479-018-2936-6

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