2003Hacettepe Journal of Mathematics and StatisticsRequires access

THE ANALYTIC HIERARCHY AND ANALYTIC NETWORK PROCESSES

Murat Müyükyazici, Meral Sucu

Open publisher page 65 citations

Abstract

The Analytic Hierarchy Process (AHP) is a method for decision making which includes qualitative factors. In this method, ratio scales are ob- tained from ordinal scales which are derived from individual judgments for qualitative factors using the pairwise comparison matrix. The An- alytic Network Process (ANP) also uses a pairwise comparison matrix to obtain ratio scales. The di®erence between these two methods ap- pears in modelling the problem and computing the ¯nal priorities for the alternatives from ratio scales previously obtained. This paper gives a brief look at the foundation of AHP and ANP. Furthermore, an illus- trative example is given for ANP.

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What this paper is about

The Analytic Hierarchy Process (AHP) is a method for decision making which includes qualitative factors. In this method, ratio scales are ob- tained from ordinal scales which are derived from individual judgments for qualitative factors using the pairwise comparison matrix. The An- alytic Network Process (ANP) also uses a pairwise comparison matrix to obtain ratio scales. The di®erence between these two methods ap- pears in modelling the problem and computing the ¯nal priorities for the alternatives from ratio scales previously obtained. This paper gives a brief look at the foundation of AHP and ANP. Furthermore, an illus- trative example is given for ANP.

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Available abstract

The Analytic Hierarchy Process (AHP) is a method for decision making which includes qualitative factors. In this method, ratio scales are ob- tained from ordinal scales which are derived from individual judgments for qualitative factors using the pairwise comparison matrix. The An- alytic Network Process (ANP) also uses a pairwise comparison matrix to obtain ratio scales. The di®erence between these two methods ap- pears in modelling the problem and computing the ¯nal priorities for the alternatives from ratio scales previously obtained. This paper gives a brief look at the foundation of AHP and ANP. Furthermore, an illus- trative example is given for ANP.

Key concepts: Analytic hierarchy process, Pairwise comparison, Analytic network process, Mathematics, Matrix (chemical analysis), Hierarchy, Positive-definite matrix, Statistics

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