Abstract
When the fuzzy the rule base is sparse, conventional fuzzy reasoning methods do not work well because of the lack of inference evidence. To tacke this problem. Koczy and Hirota proposed a fuzzy reasoning method called a linear interpolative method. In this paper, we analyze the Koczy and Hirota's reasoning mehtod and find out that the reasoning consequences by the method are sometimes abnormal fuzzy sets. Moreover, the reasoning conditions of the reasoning method are also discussed analytically.