Recently, Fuzzy theory has been applied in evaluation problem. Fuzzy evaluation based on Fuzzy theory can accommodate fuzziness of judgement with people through introducing Fuzzy measure. Representative Fuzzy evaluation is Fuzzy Integral using Fuzzy measure.
A definite methodology using Fuzzy Integral HFI (Hierarchical Fuzzy Integrals), HFEA (Hierarchical Fuzzy Evaluation Algorithm),
HFP (Hierar chical Fuzzy Process), etc.
In this paper, we deal with problem identifying evaluation value using Fuzzy Relation Equation at these Fuzzy evaluation. We verify relation between Input data and Output data through @-operation and apply this to HFP. And that we verify evaluation value which objects of evaluation are able to possess.