**7. Conclusions**

In this paper, a novel similarity measure for IVIFSs is proposed, which is obtained by splitting an IVIFS into two IFSs and computing the average value of the *p* power of any points in two triangles composed of the two intuitionistic fuzzy sets. Its superiority is presented by comparing the developed

similarity measure with some existing similarity measures. Thus, we can use the similarity measure to deal with the problems with vagueness and uncertainty. For example, pattern recognition, medical diagnosis, game theory and so on.

In fact, we can choose different values of the three parameters (*<sup>t</sup>*1, *t*2 and *p* in Formula (5)) when facing different problems. However, there are some difficulties when choosing the value of parameters. This is also a problem to be solved in the future.

**Author Contributions:** M.L. initiated the research and provide the framework of this paper. J.L. wrote and complete this paper with M.L.'s validity and helpful suggeations.

**Acknowledgments:** The authors would like to thank the reviewers for their valuable comments and suggestions. This research was supported by the National Natural Science Foundation of China (Grant No. 61773019).

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