**7. Conclusions**

In this paper, an endeavor has been made to exhibit the some new AOs to accommodate the IT2IF conditions. IT2IFS is one of the augmentations of the conventional FS, IFS by considering grades of the primary membership functions also. On the other hand, in practical application problems, the criteria interrelationship phenomenon occurs frequently. To address it, Hamy means (HM) operator is a standout among the most critical operators that catches the inter-relationship together with the multi-input arguments. Furthermore, to diminish the computational complexity of the IT2IFS, we introduce symmetric IT2IFS and characterize some operation laws. Then, keeping the advantages of STIT2IFS and HM operators, we exhibit the symmetric TIT2 intuitionistic fuzzy HM (STIT2IFHM) operator and weighted symmetric TIT2 intuitionistic fuzzy HM (WSTIT2IFHM) operator under a provision of type-2 intuitionistic uncertain situation. Various beneficial characteristics of these operators have endorsed. Furthermore, in light of these operators, a decision-making approach is introduced to solve the MCDM problems. The presented approach has been tried and clarified with a numerical illustration and registered that it can efficiently deal with the available information by eliminating more amount of fuzziness as compared to the existing approaches. The major advantages of the proposed operator with respect to the existing ones are that it need only one parameter *k* from a finite integer set while other needs more than one from an infinite rational set such as BM and GBM etc., and hence the computational complexity is low and easier to understand. Additionally, a portion of the existing studies can be effectively concluded from the proposed operators by setting *k* = 1, *k* = 2 and *k* = *n*. Thus, it expresses a better technique for taking care of the decision-making problems with additional benefits.

In future research, we shall extend the present study to some more generalized environment and applied it to many other fields such as graph theory, transportation evaluation, resource managemen<sup>t</sup> using different uncertain environments [57–62].

**Author Contributions:** Conceptualization, H.G. and S.S.; Methodology, H.G.; Validation and Investigation, S.S. and H.G.; Writing-Original Draft Preparation, H.G.; Writing-Review and Editing, H.G.

**Funding:** This research received no external funding.

**Conflicts of Interest:** The authors declare no conflict of interest.
