Revisions for Distance Measures of Xu

Yi-Fong Lin

Abstract: Xu (2017) developed a new distance that was published in the Journal of Intelligent and Fuzzy Systems. Xu (2018) provided a revision for his proof proposed in Xu (2017). However, we find that still contained questionable results such that we present a further amendment for Xu (2018). Our results will help researchers study distance and similarity measures in the future.

Keywords: intuitionistic fuzzy sets, distance measure, similarity measure