Analysis of linear interpolation of fuzzy sets with entropy-based distances

An interpolation of fuzzy sets is an important method in development of efficient fuzzy rule systems. An important property of the interpolated set is the distance minimum property. As can be seen, the validity of this property depends on the applied distance metric. The authors analyse the distance relationship among the base and generated fuzzy sets in the case of KH linear interpolation. The paper presents new properties among the entropy-based distances and proposes an appropriate method for distance optimum interpolation.