A note on “A novel correlation coefficient of intuitionistic fuzzy sets
based on the connection number of set pair analysis and its
application”
Abstract
Garg and Kumar (Scientia Iranica, 2017, https://doi.org/
10.24200/SCI.2017.4454) proposed some new correlation coefficient
between intuitionistic fuzzy sets (IFSs). To point out the advantages of
their proposed correlation coefficient over the existing correlation
coefficient, Garg and Kumar applied their proposed correlation
coefficient as well as the existing correlation coefficient to identify
a suitable classifier for an unknown pattern, represented by an
intuitionistic fuzzy set (IFS), from the known patterns, each
represented by IFS. Garg and Kumar suggested that the existing
correlation coefficient fails to identify a suitable classifier,
whereas, the correlation coefficient, proposed by them, does not fail to
identify a suitable classifier. So, it is appropriate to use the
correlation coefficient, proposed by them, instead of the existing
correlation coefficient. In this note, it is shown that the correlation
coefficient, proposed by Garg and Kumar, also fails to identify a
suitable classifier. Furthermore, it is shown that more computational
efforts are required to apply the correlation coefficient, proposed by
Garg and Kumar, as compared to the existing correlation coefficient. In
the actual case, it is inappropriate to apply the correlation
coefficient for identifying a suitable classifier.