The Seven Pillars of the Analytic Hierarchy Process View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2001

AUTHORS

Thomas L. Saaty

ABSTRACT

The seven pillars of the AHP, some highlights of which are discussed in the paper, are: 1) ratio scales derived from reciprocal paired comparisons; 2) paired comparisons and the psychophysical origin of the fundamental scale used to make the comparisons; 3) conditions for sensitivity of the eigenvector to changes in judgments; 4) homogeneity and clustering to extend the scale from 1–9 to 1- ∞; 5) additive synthesis of priorities, leading to a vector of multi-linear forms as applied within the decision structure of a hierarchy or the more general feedback network to reduce multi-dimensional measurements to a unidimensional normalized ratio scale, that is thus an absolute “dominance” scale, free of a measurement unit; 6) allowing rank preservation (ideal mode) or allowing rank reversal (distributive mode); and 7) group decision making using a mathematically justifiable way for synthesizing individual judgments which allows the construction of a cardinal group decision compatible with the individual preferences. More... »

PAGES

15-37

Book

TITLE

Multiple Criteria Decision Making in the New Millennium

ISBN

978-3-540-42377-5
978-3-642-56680-6

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-642-56680-6_2

DOI

http://dx.doi.org/10.1007/978-3-642-56680-6_2

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1048779662


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