| Article ID: | iaor2001928 |
| Volume: | 22 |
| Issue: | 4/5 |
| Start Page Number: | 159 |
| End Page Number: | 170 |
| Publication Date: | May 1998 |
| Journal: | Operations Research Letters |
| Authors: | Barzilai J. |
| Keywords: | measurement, analytic hierarchy process |
This paper provides a mathematical framework for the decomposition of value functions into linear and non-linear tree and general structures. The power of this framework is demonstrated through its application to the analytic hierarchy process (AHP). In particular, we show that the AHP generates non-equivalent value functions and ranking from equivalent decompositions.