THE ANALYTIC HIERARCHY AND ANALYTIC NETWORK PROCESSES
Murat Müyükyazici, Meral Sucu
Abstract
Murat Müyükyazici, Meral Sucu
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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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