Simple and convenient method of determining the hierarchy model

Simple and convenient method of determining the hierarchy model

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Article ID: iaor20063565
Country: China
Volume: 35
Issue: 6
Start Page Number: 194
End Page Number: 197
Publication Date: Jun 2005
Journal: Mathematics in Practice and Theory
Authors: ,
Keywords: analytic hierarchy process
Abstract:

The first step of applying analytic hierarchy process (AHP) to make a decision is to determine the hierarchy model. For this, the mathematical method introduced by the present references is based on reachability matrix, which is usually accomplished with a computer. In this paper, the characteristics of hierarchy model of AHP are sufficiently considered, which are strict relativity between two close together layers and non-relativity with each other between two elements. A simple and convenient method is presented and illustrated, named as delete-row method (DRM). The correctness of the method is strictly proved. It is using the method to determine the hierarchy model that needn't calculate reachability matrix and so on. It can be completed only by artificial calculation.

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