When you have an "N" number of items to perform pairwise comparisons, the total number of comparisons will be ½ * N * (N -1). Think about it, when you have a number of objectives (or criterion) is 10, you will need to perform 20 comparisons. That can take a very long time because you need to do the comparison very carefully in the cool brain. By enforcing the transitivity rule, you can reduce the total number of comparisons to just (N - 1). That means, for 10 objectives/criteria, your total comparisons will be 9. That must be a wow quality time saver. Yes, SpiceLogic AHP Software lets you enforce the transitivity rule to save your time and at the same time, enforce consistency in your judgments.