We consider Pairwise Comparison Matrices (PCMs) over divisible abelian linearly ordered groups; this approach, introduced by (Cavallo & D'Apuzzo, 2009a), allows us to generalize several kinds of PCMs proposed in literature, remove some drawbacks of the classical approach and provide a general consistency index. Properties of the o-mean vector associated to a PCM and a link between the o-mean vector and the consistency index allows us to propose the o-mean vector as a weighting vector for the alternatives.
Pairwise comparisons and weighting vector for the alternatives / Cavallo, Bice; D'Apuzzo, Livia; Massimo, Squillante. - (2011). (Intervento presentato al convegno XXXV Convegno AMASES, Associazione per la Matematica Applicata alle Scienze Economiche e Sociali tenutosi a Pisa nel 15 -17 Settembre 2011).
Pairwise comparisons and weighting vector for the alternatives
CAVALLO, BICE;D'APUZZO, LIVIA;
2011
Abstract
We consider Pairwise Comparison Matrices (PCMs) over divisible abelian linearly ordered groups; this approach, introduced by (Cavallo & D'Apuzzo, 2009a), allows us to generalize several kinds of PCMs proposed in literature, remove some drawbacks of the classical approach and provide a general consistency index. Properties of the o-mean vector associated to a PCM and a link between the o-mean vector and the consistency index allows us to propose the o-mean vector as a weighting vector for the alternatives.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.