##plugins.themes.bootstrap3.article.main##

##plugins.themes.bootstrap3.article.sidebar##

Published Jun 14, 2011
Vitaliy V Tsyganok

Abstract

AHP/ANP stability measurement methods are described. In this paper we define the method's stability as the measure of its results dependence on the expert's errors, made during pair comparisons. Ranking Stability (order preservation in alternative ranking under natural expert's errors, made during expert estimation) and Estimating Stability (maintaining alternative weights within the specified maximal relative inaccuracy range) are considered. Targeted Genetic Algorithm search procedure is used for possible stability violation detection. Then division-in-half (dichotomy) method is applied to calculate stability metric of a given criteria hierarchy.


http://dx.doi.org/10.13033/ijahp.v3i1.50

Downloads

Download data is not yet available.

##plugins.themes.bootstrap3.article.details##

Keywords

AHP/ANP stability measurement, Ranking/Estimate stability, Genetic Algorithm

References
Holland, J.H. (1994). Adaptation in natural and artificial systems. An introductory
analysis with application to biology, control, and artificial intelligence. London: Bradford
book edition.
Kemeny, J.G., & Snell, J.L. (1972). Mathematical Models in the Social Sciences.
Cambridge, MA: MIT Press.
Saaty, T.L. (1980). The Analytic Hierarchy Process. New York, NY: McGraw-Hill.
Saaty, T.L. (2008). Relative Measurement and Its Generalization in Decision Making.
Why Pairwise Comparisons are Central in Mathematics for the Measurement of
Intangible Factors. The Analytic Hierarchy/Network Process. Statistics and Operations
Research, 102 (2), 251–318.
Section
Articles