Shakeel et al. (Soft Comput. 24 )2020(1585-1597) proposed the concept of a Pythagorean uncertain linguistic hesitant fuzzy set (PULHFS), some arithmetic operations of Pythagorean uncertain linguistic hesitant fuzzy sets (PULHFSs), an approach for comparing PULHFSs and a Pythagorean uncertain linguistic hesitant fuzzy weighted averaging (PULHFWA) operator as well as it extensions. Also, using the proposed comparing approach and the proposed aggregation operators, Shakeel et al. proposed a method for solving multi-attribute group decision making (MAGDM) problems. In future other researchers may use Shakeel et al.’s work in their research work. However, it is observed that that the approach for comparing PULHFSs and aggregation operators, proposed by Shakeel et al. (2020(, are not appropriate. Hence, the method for solving MAGDM problems, proposed by Shakeel et al., is also not appropriate. The aim of this note is to make the researchers aware about the inappropriateness of Shakeel et al.’s work. Furthermore, to point out that to resolve the inappropriateness of Shakeel et al.’s work (2020) is a challenging open research problem.