We attempt a rigorous definition of FIPS in this study. We have focused our attention on a few techniques that had already been discussed in the literature. It has become necessary to properly analyse the existing literature on FIPS to guide future research in light of various new studies. We looked at an alternative method of approaching the concept of the FIPS, beginning with the work of P. Majumdar and S.K. Samanta. As we honed their definition, we were able to zero in on many peculiarities of the FIPS. Finally, we demonstrated that this FIPS yields anNădăban-Dzitac fuzzy norm. A few difficulties are then presented as a conclusion.