In this paper, we investigate conditions, weaker than consistency, that a pairwise comparison matrix has to satisfy in order to ensure that priority vectors proposed in literature are ordinal evaluation vectors for the actual ranking. In particular, we introduce a partial order on the rows of a pairwise comparison matrix; if it is a simple order, then the matrix is transitive, the actual ranking is easily established and priority vectors are ordinal evaluation vectors for the actual ranking.
Investigating conditions ensuring reliability of the priority vectors / Cavallo, Bice; D'Apuzzo, Livia; Basile, Luciano. - In: BDC. - ISSN 2284-4732. - 14:2(2014), pp. 387-396.
Investigating conditions ensuring reliability of the priority vectors.
CAVALLO, BICE
;D'APUZZO, LIVIA;BASILE, LUCIANO
2014
Abstract
In this paper, we investigate conditions, weaker than consistency, that a pairwise comparison matrix has to satisfy in order to ensure that priority vectors proposed in literature are ordinal evaluation vectors for the actual ranking. In particular, we introduce a partial order on the rows of a pairwise comparison matrix; if it is a simple order, then the matrix is transitive, the actual ranking is easily established and priority vectors are ordinal evaluation vectors for the actual ranking.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.