Modified expression to evaluate the correlation coefficient of dual
hesitant fuzzy sets and its application to multi-attribute decision
Ye (Appl. Math. Model. 38 (2014) 659-666) proposed an expression for
evaluating the weighted correlation coefficient between two dual
hesitant fuzzy sets (DHFSs). Ye claimed that their proposed expression
can be used for finding the solution for several real-life
multi-attribute decision making (MADM) problems under dual hesitant
fuzzy set (DHFS) environment. To validate the claim, Ye solved one
real-life problem (finding the best investment company). In future,
other researchers may use Ye’s expression for solving same type of
real-life problems or some other type of real-life problems. However,
after a deep study, it is observed that Ye has used some mathematical
incorrect assumptions to obtain his proposed expression i.e., Ye’s
expression is not valid in its present form. Therefore, if one will
apply this expression then the obtained results may or may not be exact.
Keeping the same in mind, Ye’s expression has been modified.
Furthermore, using the modified expression, the exact result of the
real-life problem, considered by Ye, has been obtained.