Some considerations on Koczy´s fuzzy interpolative reasoning method

In the sparse fuzzy rule bases, conventional fuzzy reasoning methods encounter difficulty because of the lack of inference evidence. To tackle this problem, Koczy and Hirota have proposed a new fuzzy reasoning method called a linear interpolative reasoning method. In this paper, we analyze their reasoning method and find out that the reasoning consequences by the method become sometimes abnormal fuzzy sets. The reasoning conditions of the reasoning method also discussed analytically