Comments to -cubic sets with an NC-decision making problem.

In this paper, we want to investigate some theorems about -cubic sets in [Sh. Rashid, M. Gulistan, Y. B. Jun, S. Khan and S. Kadry, -cubic sets and aggregation operators, J. Intell. Fuzzy Syst.37(4) (2019) 5009–5023] and while correcting these theorems, we get new results in this issue and at the end we present an application regarding decision making. First, by using some examples, we show that the conditions of some theorems in above-mentioned paper are not true in general and then we attempt to correct these theorems and proofs. Moreover, we discuss some new related results in -cubic sets. Finally, we discuss the score function and -cubic weighted average operator of -cubic sets for application in physical and different engineering regions. [ABSTRACT FROM AUTHOR]