From fuzzy set-theoretical points of view, this paper deals with a method to model quantitative external criterion by using qualitative multivariate data which are obtained in vague and ambiguous circumstances. The problem is to explain quantitative change in the external criterion by using qualitative values of multivariate data which are given by subjective recognition and judgement. In this paper those qualitative values are assumed to be fuzzy degree of membership in qualitative categories which are type II fuzzy sets and quantitative change in the external criterion is given as fuzzy numbers. The main stresses are that our approach to the quantification treatment of such qualitative data is based on fuzzy set theory, that this is different from Hayashi's approach employed in his quantification theory type I which deals with crisp cases of ours and that our method can be solved by linear programming.