An Analysis between Multi-criteria Decision-Making Methods through an Application under Pythagorean Fuzzy Hypersoft Sets

Traditional approaches of MCDM (Multi-Criteria Decision-Making) may give imprecise results in real-life application-oriented situations. PFHSS (Pythagorean Fuzzy Hypersoft Sets) are proposed as a solution to handle imprecise, uncertain, inconsistent, and incomplete results. PFHSS is a generalization of Intuitionistic fuzzy hypersoft sets and an expansion of PFSS (Pythagorean Fuzzy Soft Sets). The model considers parameters with multi-sub-attributes, making it suitable for decision-making in complex scenarios. In fuzzy mathematics, the dual manner of PFSs (Pythagorean Fuzzy Sets) with hypersoft sets is highlighted as a nurturing model that offers a comfortable interpretation in decision-making. The use of PFHSS in decision-making is demonstrated with a numerical example. The example aims to deliberately show the existence of MCDM methods, which have been authenticated in previous papers. A comparative analysis along with correlation coefficients, is conducted under the proposed methods. This analysis likely assesses the effectiveness and reliability of the PFHSS in comparison to other MCDM methods.