逐次一対比較法の提案

概要

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The method of paired comparisons is one of the most effective methods to scale an ambiguous quantity in the sensory evaluation. It is relatively easier to compare and choose one from two samples than to choose directly. Good results can be obtained easily even when examinees are not specialists. However, the number of comparison becomes an issue of this method. It is required to compare n (n-1)/2times to make the complete paired comparison table. When the number of the samples becomes larger, the number of comparison becomes too huge to compare all pairs. A band function model paired comparison (BMPC) method is one of the paired comparison methods. Since BMPC method uses inequalities to solve the paired comparison table, not all comparison is needed. In this paper, the new sequential solution method to solve paired comparison method is proposed. By the method, not n (n-1)/2times compares are required to solve n samples paired comparison. The validity of proposed method are confirmed by simulation, and it becomes clear that it is possible to set scale values to each samples without30% comparison on avarage. We applied the proposed method to the actual pitch comparison experiment. Consequently, we succeeded to obtain the result which is absolutly same as complete result by an incomplete paired comparison by using the sequential comparison method.
公益社団法人計測自動制御学会の論文