One of the fundamental issues pursued in the use of fractional designs is how to select the optimal design among fractional designs with an equal number of runs. The sharpness criterion is the most general criterion for comparing regular fractional designs. This article introduces the generalized sharpness criterion, which is a generalization of the concept of sharpness to the domain of irregular fractional designs. This criterion is a suitable criterion for ranking irregular fractional designs. It is worth noting that the generalized sharpness of regular fractional designs is equal to the sharpness of such designs. Therefore, the generalized sharpness criterion can also be used to compare regular and irregular fractional designs with an equal number of runs. Another advantage of the generalized sharpness criterion is that it provides an idea for introducing the generalized minimum deviation criterion, which is a generalization of the minimum deviation criterion. During the discussions, examples are provided to illustrate the application of the introduced criteria.