IFP-intuitionistic multi fuzzy N-soft set and its induced IFP-hesitant N-soft set in decision-making

Intuitionistic fuzzy sets (IFSs) can effectively represent and simulate the uncertainty and diversity of judgment information offered by decision-makers (DMs). In comparison to fuzzy sets (FSs), IFSs are highly beneficial for expressing vagueness and uncertainty more accurately. As a result, in this paper, we offer an approach for solving group decision-making problems (DMPs) with intuitionistic fuzzy parameterized (IFP) intuitionistic multi fuzzy N-soft set of dimension q (briefly, IFPIMFNSS) by introducing its induced IFP-hesitant N-soft set (IFPHNSS) as an extension of the multi-fuzzy N-soft set (MFNSS) based decision-making method (DMM). MFNSS is a fantastic and useful tool to deal with DMPs, but it has some limitations to solve group DMPs, but the constructed method in this paper is very advantageous for group-DMPs. To demonstrate the applicability of our methodology in practical situations, some examples are used, and also, we have compared the ranking performances of the proposed method with the Fatimah-Alcantud method. Finally, we bring the paper to a conclusion and our future work.