Extension and revisions for Xu’s proposed distance measure

Xu (2017) published a paper in Journal of Intelligent and Fuzzy Systems in which he constructs a new distance measure that not only satisfies the axiom of intuitionistic fuzzy sets, but also fulfills the axiom for traditional distance. However, several questionable results arise in Xu (2017). Thus,...

Full description

Saved in:
Bibliographic Details
Published inJournal of intelligent & fuzzy systems Vol. 37; no. 1; pp. 657 - 667
Main Authors Chu, Chun-Hsiao, Lin, Scott Shu-Cheng, Julian, Peterson
Format Journal Article
LanguageEnglish
Published Amsterdam IOS Press BV 01.01.2019
Subjects
Distance measurement
Fuzzy sets
Fuzzy systems
Pattern recognition
Online AccessGet full text

Cover

More Information
Summary:Xu (2017) published a paper in Journal of Intelligent and Fuzzy Systems in which he constructs a new distance measure that not only satisfies the axiom of intuitionistic fuzzy sets, but also fulfills the axiom for traditional distance. However, several questionable results arise in Xu (2017). Thus, the purpose of this paper is threefold. First, his proof is improved. Second, his criticism for two previously published distance measures are amended. Third, it is shown that in his numerical examples, there are several poorly-founded discussions. The refinement will help readers understand Xu (2017) and then apply his new distance measure to pattern recognition problems and medical diagnosis problems.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-181003