Comparison Analysis of Prioritization Quality Criteria Using Paired Comparison Method of Prioritization

Abstract

Analytic Hierarchy Process (AHP) is one of the most widely applied multicriteria methods for solving many real-world decision-making problems, including the prioritization. The paper deals with the pairwise comparison method - one of the main components of AHP for computing weights of decision alternatives with respect to a single decision factor, criterion or a goal. The evaluation is often made by an expert under uncertainty, ambiguity and indeterminacy. Therefore, many interval and fuzzy pairwise methods were proposed. In this paper, a problem of choosing the best method is considered. Four criteria are considered, which can be used to evaluate the accuracy of pairwise methods for interval weights calculation. The comparison analysis of these criteria is performed based on computer modeling of synthetic sets of acceptable interval multiplicative preference relations with a wide range of inconsistency and indeterminacy level. The analysis involves computation of the criteria values depending on inconsistency and indeterminacy of interval multiplicative preference relations. Some interesting features of the considered criteria were revealed.