We face many situations in day to day life where multi-polar statistics is offered. The prevailing models like Pythagorean fuzzy sets and m-polar fuzzy sets become inoperable in handling such situation efficiently e.g. if someone wishes to invest his capital in some scheme, he would for sure like to know repeated information about pros and cons of that scheme. Pythagorean m-polar fuzzy sets (PmFSs) serve as the most appropriate model to cope with such situations. The motivation behind this article is to extend the notions of PmFSs coined by Naeem et al. (J Intell Fuzzy Syst 37(6): 8441–8458, 2019) and introduce some new operations and results on PmFSs. Owing to the idea of Pythagorean m-polar fuzzy relation, we render an application in the selection of most appropriate life partner.

我们在日常生活中面临着提供多极统计的许多情况。像毕达哥拉斯模糊集和m极模糊集这样的流行模型在有效地处理这种情况时变得无法操作，例如，如果有人希望将其资本投资于某种方案，他肯定会想知道该方案的优缺点的重复信息。毕达哥拉斯的m极模糊集（P m FS）是应对这种情况的最合适模型。本文背后的动机是扩展Naeem等人提出的P m FS的概念。（J Intell Fuzzy Syst 37（6）：8441-8458，2019）并介绍了一些有关P m FS的新操作和结果。由于毕达哥拉斯的理念米极模糊关系，我们在选择最合适的生活伴侣方面提供了应用。