By Thomas L. Saaty
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Extra resources for Analytical Planning. The Organization of System
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. The basic idea is that wherever there is interdependence, each of the activities (or criteria) becomes an objective and all the activities (or criteria) are compared according to their contributions to that activity (or criteria).
House A which was the least desirable with respect to financing (the highest priority criterion) contrary to expectation was the winner. It was the house that was bought. There were no reservations by the family in making the choice. In retrospect the outcome was not surprising when we consider the fact that 37 The Analytic Hierarchy Process EXHIBIT 3 - 8 . 101 1/4 3 1 ^max = 3 . I. CR. I. = CR. max - 3 . I. = . 0 9 9 CR. 170 General condition A Β C A Β C Priority vector 1 1/2 2 1 1/2 1 2 1 1 A m ax = 3 .
If we denote the scale values by x l 5 x 2 , . . , x p , then let x i + 1 — x f = 1, i = 1, . . , p— 1Since we require that the subject must be aware of all gradations at the same time, and we agree with the fact that for better consistency and accuracy an individual should not simultaneously compare more than seven objects (plus or minus one), we are led to choose a ρ = 7 + 2. Using a unit difference between successive scale values is all that we allow; by using the fact that χ χ = 1 for the identity comparison, it follows that the scale values will range from one to nine.
Analytical Planning. The Organization of System by Thomas L. Saaty