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Created On: 04/27/2020
in Additional Information When an individual or small group derives priorities in an AHP model, they can evaluate either from the top down (from goal to objectives to alternatives) or bottom up (from alternatives, to covering objectives, to top level objectives). A to...
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Created On: 04/27/2020
in Additional Information Prioritization and decision making is often performed in a group context. There are two ways to aggregate individuals' judgments and preferences with AHP, depending on whether the group is assumed to act together as a synergistic group in achievin...
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Created On: 04/27/2020
in Additional Information 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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Created On: 04/27/2020
in Additional Information 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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Created On: 04/27/2020
in Additional Information The accuracy of the priorities computed from pairwise relative comparisons has been validated over the years in numerous studies. First, it has been shown that for a pairwise comparison matrix A = [ a ij ] that is consistent (sometimes cal...
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Created On: 04/27/2020
in Additional Information 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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Created On: 04/27/2020
in Additional Information Brightness of Light Experiment Area Validation Experiment The relative areas of different geometric shapes (each within an order of magnitude) were derived from pairwise verbal judgments for shapes such as the following: This experiment...
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Created On: 04/27/2020
in Additional Information Two types of means and two types of variances are used in Expert Choice Comparion: An Arithmetic Mean is the average interval -- and is the mean or average used in common practice. It is computed as the sum of the values divided by the number o...
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Created On: 04/27/2020
in Additional Information 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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Created On: 04/27/2020
in Additional Information Expert Choice employs an algorithm to determine when a spanning set of judgments has been entered for a cluster of elements, at which point priorities can be derived. A spanning set of judgments is such that every element can be "reached" from eve...