Abstract
We have proposed the processing methods for the fuzzy interval data which including vagueness of observer. And the usefulness of these methods are investigated. In these methods, to consider the vagueness of observed data, the correction value is added to the result which is obtained by normal statistical method using the representative values of fuzzy interval data. And as a application method, we have proposed the processing method in model selection by AIC. On the other hand, in the case which collect AIC directly, it is becoming clear that the effectiveness of correction value is hidden. And that situation has been occured in a case of the model selection of normal distribution. However, that situation is checked in only one case. Further, It is whether the general situation has not been checked. So, in the case of the situation which change the width of the fuzzy interval, it is considered that the influence to AIC in the model selection of normal distribution.