Abstract
This paper describes a new technique of the decision making by using hierarchical fuzzy integrals, which is called HFI. HFI is a technique that is regarded as the hierarchy process of fuzzy integrals. It is shown that using the fuzzy integrals, we can evaluate an object of evaluation by plural evaluation-items. In order to apply the fuzzy integrals to the decision making, it is established so as to integrate the evaluation objects by the same time. Although the fuzzy integral is an useful way for the subjective evaluation, it has a thorny problem that how to determine fuzzy measures if the references are increased. So it is shown that to improve the above problem, the concept of HFI which is the main idea of this paper will be contributed to new areas of the subjective evaluations.