| Article ID: | iaor19952214 |
| Country: | United States |
| Volume: | 17 |
| Start Page Number: | 111 |
| End Page Number: | 122 |
| Publication Date: | Sep 1993 |
| Journal: | Mathematical and Computer Modelling |
| Authors: | Dadkhah K.M., Zahedi F. |
| Keywords: | analytic hierarchy process |
This paper presents a simple mathematical exposition for some of theorems regarding the treatment of inconsistency in AHP. It provides a rigorous mathematical proof that the largest eigenvalue reaches its global minimum when the input matrix is consistent. Furthermore, the paper provides an algorithm for moving towards consistency and shows mathematically why the algorithm works.