Abstract
This paper presents an evaluation method based on pair comparisons with preferential strength which is obtained as categorical judgment by a decision maker. Considering judgmental consistency of pair comparisons with preferential strength, we discuss to find consistent structures which are the nearest to judgment by the decision maker. The problem is formulated as minimizing a criterion which measures difference between two matrices. The problem is solved by an integer programming. We present an application of this method to evaluate some journals of personal computers.