INVESTIGATING CONDITIONS ENSURING RELIABILITY OF THE PRIORITY VECTORS

  • Bice Cavallo Department of Architecture, University of Naples Federico II Via Toledo, 402 – I-80134 Naples (Italy)
  • Livia D’Apuzzo Department of Architecture, University of Naples Federico II Via Toledo, 402 – I-80134 Naples (Italy)
  • Luciano Basile Department of Architecture, University of Naples Federico II Via Toledo, 402 – I-80134 Naples (Italy)

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.

Keywords: pairwise comparison matrices, ordinal evaluation vectors, simple order

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Pubblicato
2014-12-30
Come citare
CavalloB., D’ApuzzoL., & BasileL. (2014). INVESTIGATING CONDITIONS ENSURING RELIABILITY OF THE PRIORITY VECTORS. BDC. Bollettino Del Centro Calza Bini, 14(2), 387-396. https://doi.org/10.6092/2284-4732/2933