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An overview of current debates and contemporary research devoted to themodeling of decision making processes and their facilitation directs attentionto the Analytic Hierarchy Process (AHP). At the core of the AHP are variousprioritization procedures (PPs) and consistency measures (CMs) for a PairwiseComparison Matrix (PCM) which, in a sense, reflects preferences of decisionmakers. Certainly, when judgments about these preferences are perfectlyconsistent (cardinally transitive), all PPs coincide and the quality of thepriority ratios (PRs) estimation is exemplary. However, human judgments arevery rarely consistent, thus the quality of PRs estimation may significantlyvary. The scale of these variations depends on the applied PP and utilized CMfor a PCM. This is why it is important to find out which PPs and which CMs fora PCM lead directly to an improvement of the PRs estimation accuracy. The maingoal of this research is realized through the properly designed, coded andexecuted seminal and sophisticated simulation algorithms in Wolfram Mathematica8.0. These research results convince that the embedded in the AHP and commonlyapplied, both genuine PP and CM for PCM may significantly deteriorate thequality of PRs estimation; however, solutions proposed in this paper cansignificantly improve the methodology.

advances in operations research

The quality of priority ratios estimation in relation to a selected  prioritization procedure and consistency measure for a Pairwise Comparison  Matrix