Some extensions of the precise consistency consensus matrix

作者: María Teresa Escobar , Juan Aguarón , José María Moreno-Jiménez

DOI: 10.1016/J.DSS.2015.04.005

关键词: Mathematical optimizationConsensus matrixComputer scienceJudgementPairwise comparisonData mining

摘要: The Precise Consensus Consistency Matrix (PCCM) is an AHP-Group Decision Making (AHP-GDM) tool, defined by Aguaron et al. 2] and developed in a local context (a single criterion) which the decision makers are assigned same weights. Using Row Geometric Mean as prioritisation procedure, consensus sought between different when modifications of their initial positions or judgements guaranteed to be within range values accepted for given inconsistency level. This paper upgrades algorithm initially proposed obtaining PCCM two ways: (i) it considers case weights makers; (ii) strengthens idea consistency design algorithm. One drawbacks this decisional tool that sometimes impossible achieve complete matrix. To address this, we propose procedure attaining common judgement matrix or, at least, with minimum number entries required derive priorities. Finally, compare results obtained applying extensions those using traditional procedures (AIJ AIP) usually employed AHP-GDM. In order do use set indicators measure violations group pairwise matrices compatibility individuals four cases associated scenarios (weighted non-weighted makers) situations (complete incomplete PCCMs). New method building AHP-group makingMinor changes from individual comparison matricesChanges consistent positions.Several measures methodsConsistency

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