A Consistency Test for AHP Decision Makers

Eric Frederick Lane · William A. Verdini

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Multi-Criteria Decision Making Decision Support System Applications Strategic Planning and Analysis

Abstract

ABSTRACT Saaty's analytic hierarchy process assessed attribute importance by soliciting decision makers' (DM) importance ratios to compute weights. Saaty suggested a decision rule for accepting DM judgments based on a consistency measure derived from the DM's importance ratios. This paper investigates the distribution of random inconsistency and decision rule implications. Stricter consistency requirements for three‐ and four‐attribute criteria matrices are suggested.

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1977A scaling method for priorities in hierarchical structures 1985Decision making for leaders 1986The Analytic Hierarchy Process—A Survey of the Method and its Applications 1980Marketing Applications of the Analytic Hierarchy Process 1996The Analytic Hierarchy Process 1984Comparison of eigenvalue, logarithmic least squares and least squares methods in estimating ratios 1982Reciprocal matrices with random coefficients 1987Consistent weights for judgements matrices of the relative importance of alternatives

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1999A quality control approach to consistency paradoxes in AHP 2003A multiple criteria evaluation of high-tech industries for the science-based industrial park in Taiwan 2014A new method for group decision making with incomplete fuzzy preference relations 2012Improving consistency in AHP decision-making processes 1990Bids Considering Multiple Criteria 2015Consistency and consensus models for group decision-making with uncertain 2-tuple linguistic preference relations

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