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Last Updated: 10/28/2021
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The ability for AHP to aggregate (synthesize) and filter (assign roles) is important for several reasons. Governance and Roles Power and control are distributed in organizations in a wide variety of ways. An effective decision process must r...
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Last Updated: 10/28/2021
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A major challenge of almost all organizations today is to find a way to integrate the knowledge and expertise of their personnel in decision making and forecasting. In The Wisdom of Crowds , James Surowiecki shows that under certain conditions -...
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Last Updated: 10/28/2021
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Originally, AHP was based on three relatively simple axioms. The first axiom, the reciprocal axiom , requires that, if PC(EA,EB) is a paired comparison of elements A and B with respect to their parent, element C, representing how many times more t...
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Last Updated: 10/28/2021
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In conformity with the second of the three AHP axioms originally proposed by Saaty, the elements of any cluster should be "homogeneous," meaning that they should differ in importance from one another by no more than an order of magnitude. This req...
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Last Updated: 10/28/2021
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The Math of AHP -- Computing priorities from pairwise comparisons Eigenvector computation Priorities for the elements in a cluster are derived from the relative pairwise comparisons by normalizing the principle right eigenvector of the matrix co...
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Last Updated: 10/28/2021
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The number of judgments in a cluster, n ( n -1) divided by 2, refers to the maximum number of pairwise comparisons in a cluster. However, Expert Choice can compute priorities from an eigenvector equation when there are missing judgments. At a min...
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Last Updated: 10/28/2021
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A minimum spanning set of judgments for a cluster of n elements consists of a set of n -1 judgments, in that every element can be "reached" from every other element. It is necessary to have a spanning set of judgments in order to compute the pri...
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Last Updated: 10/28/2021
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Last Updated: 10/28/2021
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Relative measurement in AHP is performed by comparing two elements, e.g., objectives or alternatives, one to another; whereas absolute measurement is performed on each element, e.g., alternatives, one at a time. There are several ways this is done ...