On a stable and always applicable interpolation method

This paper aims to complete the analysis of a our recently proposed α-cut based interpolation technique (1997) originated from the KH interpolation. Our goal is to investigate its stability behaviour. As it was shown in Joo et al. (1997) and Tikk et al. (1997) the original KH interpolation is stable in the sense that if inputs change slightly the output also changes slightly. The main result of this paper shows that this significant feature of the KH interpolation can be carried over for the proposed method. A possible generalization of the proposed method is also presented