INVESTIGATING CONDITIONS ENSURING RELIABILITY OF THE PRIORITY VECTORS

Authors

  • 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)

DOI:

https://doi.org/10.6092/2284-4732/2933

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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Published

2014-12-30

How to Cite

Cavallo, B., D’Apuzzo, L., & Basile, L. (2014). INVESTIGATING CONDITIONS ENSURING RELIABILITY OF THE PRIORITY VECTORS. Bulletin of the Calza Bini Center, 14(2), 387–396. https://doi.org/10.6092/2284-4732/2933

Issue

Vol. 14 No. 2 (2014): Towards an Inclusive, Safe, Resilient and Sustainable City: Approaches and Tools

Section

Articles