A gradient method for inconsistency reduction of pairwise comparisons matrices

Jean-Pierre Magnot (), Jiri Mazurek and Viera Cernanova
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Jean-Pierre Magnot: LAREMA - Laboratoire Angevin de Recherche en Mathématiques - UA - Université d'Angers - CNRS - Centre National de la Recherche Scientifique
Viera Cernanova: Trnava University

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Abstract: We investigate an application of a mathematically robust minimization methodthe gradient method-to the consistencization problem of a pairwise comparisons (PC) matrix. Our approach sheds new light on the notion of a priority vector and leads naturally to the definition of instant priority vectors. We describe a sample family of inconsistency indicators based on various ways of taking an average value, which extends the inconsistency indicator based on the "sup"-norm. We apply this family of inconsistency indicators both for additive and multiplicative PC matrices to show that the choice of various inconsistency indicators lead to non-equivalent consistencization procedures.

Keywords: gradient method; inconsistency indicator; pairwise comparisons; priority vector (search for similar items in EconPapers)
Date: 2021-08-04
New Economics Papers: this item is included in nep-isf
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