The analytic hierarchy process and the theory of measurement

An analytic decision making framework to evaluate multiple marketing channels

“…The AHP method involves three basic steps: (1) conceptualize a complex decision problem as a hierarchy, (2) estimate the importance of decision criteria on each level of the hierarchy by adopting pairwise comparisons, and (3) rank the alternatives based on the derived weights of decision criteria. Bernasconi, Choirat, and Seri (2010) concluded that AHP was a reliable decisionmaking tool for subjective measurement of alternative courses of action. An advantage of AHP is that it can overcome the ambiguities in identifying determinant attributes and handle more complex problems by extending levels in the hierarchy (Armacost & Hosseini, 1994).…”

A re-examination of the algebraic properties of the AHP as a ratio-scaling technique

“…The AHP error terms e ij 's make instead explicit the important notion that people are not like robots, but various effects, like lapses of concentration, states of mind, trembling, rounding effects and computational mistakes, imply that no model of human behavior can be assumed to hold deterministically. 5 In our previous paper (Bernasconi et al, 2010) we develop a detailed analysis of representation (3) and propose a statistical method based on a polynomial generalization of the logarithmic least squares, to estimate the priority vector u 0 when W −1 (·)…”

“…In fact, combining classical AHP with the separable form of Eq. (1) in Bernasconi, Choirat, and Seri (2010) we propose the following form for the ratio assessments of an AHP response matrix:…”

“…The answer is obviously an empirical one. A method for the estimation of u 0 and of φ 3 and the recovery of the residuals ν ij 's is proposed in Bernasconi et al (2010). In that source, the method is applied to an experiment in which 69 individuals are required to elicit three comparison matrices respectively concerning 5 probabilities from games of chance, 5 distances of Italian cities from Milan, and the rainfalls in 5 European cities in November 2001.…”

A Semiring-based study of judgment matrices: properties and models

“…Discussions of the AHP have focused mainly on five areas: axiomatic foundation [8,9,12,41], calculation of the relative weights [2][3][4]7,9,17,32,35,37,42,49], rank reversal [3,5,10,11,20,21,40,43,45], aggregation [3,35], and scale [9,35,45].…”