Mutuality measures corresponding to subjective judgment of similarity and matching

In this paper matching measures corresponding to subjective judgment, which are calculated from two fuzzy sets, are examined through psychological experiments, in conjunction with examination of the similarity measures that have already been studied. We execute three separate psychological experiments that consist of subjective rating tasks of similarity and matching, and identification of membership functions. Results show the following two conclusions clearly: 1) indices related to distance between two fuzzy sets along element axis correspond to subjective judgment of similarity, this result confirms Yoshikawa-Nishimura´s results (1996); and 2) same indices also correspond to subjective judgment of matching. Moreover, the results reveal the following two tendencies: 1) human can distinguish between two different concepts, similarity and matching; and 2) all the indices adopted in this study are functional as matching measures rather as similarity measures.