**8. Conclusions**

It has been noticed that the definition of GGIFSS, given by Garg et al. [44], did not provide supplementary information in a precise manner. Under this prospect, we have reformulated the existing definition of GGIFSS by establishing a novel notion of GGIFSS and related operation are also refined. We have aggregated GBGWA and GBGWG operators on GGIFSSs, which are employed to aggregate our techniques. Then, we formulated the framework of decision makings in an algorithm and two case studies have been handled by virtue of proposed methodology. We have given the advantages and comparison with existing techniques and correlated the results which are achieved on GIFSSs. The advantages of given framework are to contemplate the prospector's demands or expert's judgments in an incorporated way such that establishing more operators can be constituted the design concept evaluation mechanism on GGIFSSs. In this way, the results presented in this paper can be studied in several fields, such as electrical engineering, industrial designs, construction engineering, as estimation of risk factors in risk managemen<sup>t</sup> is a complex tasks thus such problem can be considered.

**Author Contributions:** K.H. develops the idea and writes the paper. K.H.; methodology, K.H.; writing—original draft preparation. M.I.A., B.-Y.C., F.K. X.P.Y. review and edit the paper.

**Funding:** This paper is supported by the High Level Construction Fund of Guangzhou University China. Also this work was supported by the Natural Science Foundation (61877014), Natural Science Foundation of Guangdong Province (2017A030307020, 2016A030307037, 2016A030313552), the Guangdong Provincial Government to Guangdong International Student Scholarship (yuejiao [2014] 187), Guangzhou Vocational College of Science and Technology (no. 2016TD03) and the Foundation of Hanshan Normal University (QD20171001, LQ201702).

**Acknowledgments:** The authors would like to thank all the reviewers for their valuable comments.

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