α-cut interpolation technique in the space of regular conclusion

The first published method of fuzzy rule interpolation is the α-cut distance based fuzzy interpolation. Its stable-approximation property has been deemed important not only in fuzzy theory, but in numerical analysis as well. However, its applicability is restricted by its interpretability in fuzzy theory. Many other fuzzy interpolation methods have been proposed to alleviate these restrictions, but they are rather complicated from a practical point of view. As a result the simplicity of α-cut fuzzy interpolation requiring small computational effort is lost. In this paper, a modified α-cut based fuzzy interpolation method is proposed which eliminates the problem of abnormal conclusion while maintains low computational capacity