Journal of Japan Society for Fuzzy Theory and Systems
Online ISSN : 2432-9932
Print ISSN : 0915-647X
ISSN-L : 0915-647X
Evaluation of a Stability on Weights of Fuzzy Analytic Hierarchy Process Using a Sensitivity Analysis
Shin-ichi OHNISHIHideyuki IMAIMichiaki KAWAGUCHI
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1997 Volume 9 Issue 1 Pages 140-147

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Abstract
Analytic Hierarchy Process (AHP) proposed by Saaty, T.L. in 1977 is a method of decision making. Natural human sense can be reflected in it. Fuzzy AHP which is expansion of it can show substitutive and complementary selection. Using AHP or Fuzzy AHP, we often cannot find the best alternative, because the weights of the alternatives are not much different from the others. Then it is very important to investigate which element of a comparison matrix has most large influence on the weight. It makes us know the key of interpretation and structure of the data.Two metods to evaluate them using sensitivity analysis have been proposed. However they have problems. The one changes the structure of the data, and the other is complex. And a method to evaluate for Fuzzy AHP has not been proposed. In this paper we propose a simple methods which does't change the data suructure in AHP and evaluation in Fuzzy AHP, and show an numerical experiment.
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© 1997 Japan Society for Fuzzy Theory and Intelligent Informatics
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