By Thomas L. Saaty
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Generalization of the Approach to Network Systems Sometimes it is not possible for planners to construct a hierarchic representation of a problem but a network representation is deemed to be more appropriate. There is an approach for handling these types of problems which is based on the same basic principles as the ΑΗΡ. To adequately describe it here, however, would take us far afield. The interested reader should consult Saaty (1980) where the procedure is described in detail. 11. Comments on Dependence The Analytic Hierarchy Process provides a simple and direct means for measuring interdependence in a system.
It turns out that there is one way to do this and that is to multiply the judgments and take the kth root if k people are participating. This is the geometric mean. Next we ask, What happens to a decision when judgments whether of a single individual or a group change over time? If the decision has already been taken, it may be revised and reimplemented, if desired, incurring some costs. On the other hand, the ΑΗΡ can be used as a learning tool in which case judgments can change. In that case either the last judgment is used, if it is thought to be the best one, or all previous judgments are synthesized by taking their geometric mean or some judgments are emphasized more by ensuring that they are represented more often before taking the geometric mean.
Intensity of relative importance Scale of Relative Definition Importance Explanation 1 Equal importance T w o activities contribute equally to the objective. 3 Experience and judgment slightly favor one activity over another. 5 Moderate importance of one over another. Essential or strong importance. 7 Demonstrated importance. An activity is strongly favored and its dominance is demonstrated in practice. 9 Extreme importance. The evidence favoring one activity over another is of the highest possible order of affirmation.