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Another method for weighting several criteria is the pairwise comparison. It stems from the Analytic Hierarchy
Process (AHP), a famous decision-making framework developed by the American Professor of mathematics
(1980).
The following three steps lead to the result:
This method allows a concentration on the comparison of only two criteria at a time. Thereby, the effort required to compare each criteria with every other one is increasing rapidly when handling many classes (to be exact: with n criteria there are n(n-1)/2 comparisons). The integration of the method into a digital environment is easy and can be mastered with a spreadsheet or a GIS. A successful example of the latter is the use of this method in the environmental SDSS in "IDRISI". You can find further information about IDRISI at Clark Labs.
This animation allows you to try out the AHP with your own weightings for the case study of the wolf habitat. As an expert on wolves you are asked to evaluate all five criteria in their relative importance. How the standard values can be read: starting in the first row, vegetation was evaluated as "equally to slightly more important" than slope; this cell gets an index of 2. The value 0.5 in the last cell of this first line indicates that slope is "equally or slightly less important" than vegetation. The whole upper right half of the matrix is filled in this manner. The lower left half contains the corresponding fractions of the evaluations. Replace the standard values with your own weightings and study the change of weights.
Definition | Index | Definition | Index |
---|---|---|---|
Equally important | 1 | Equally important | 1/1 |
Equally or slightly more important | 2 | Equally or slightly less important | 1/2 |
Slightly more important | 3 | Slightly less important | 1/3 |
Slightly to much more important | 4 | Slightly to way less important | 1/4 |
Much more important | 5 | Way less important | 1/5 |
Much to far more important | 6 | Way to far less important | 1/6 |
Far more important | 7 | Far less important | 1/7 |
Far more important to extremely more important | 8 | Far less important to extremely less important | 1/8 |
Extremely more important | 9 | Extremely less important | 1/9 |