Decision making method related to Pythagorean Fuzzy Soft Sets with infectious diseases application

Abstract

This study presents a new algorithm for group decision-making solutions using Pythagorean Fuzzy Soft Matrices (PFSMs) and confident weight is given by experts. Pythagorean Fuzzy Set (PFS) is a generalization of the intuitionistic fuzzy set (IFS). Therefore, in real-life problems for uncertainty, the decision-making mechanism in PFSs outcomes better than IFS decision-making. Pythagorean Fuzzy Soft Set (PFSS) is deriving from the combination of PFS and Soft Set. PFSM is also the matrix representation of PFSSs. Based on the cardinalities of the PFSS, experts have been given a new method that assigns confident weight. Confident weight is given according to the experience and knowledge of each expert. For this process, the choice matrix and the combined choice matrix are created first. PFSMs and choice matrices given for each expert are multiplied and the matrices obtained are summed. Pythagorean distance measurements were used to check the accuracy of the results obtained by applying the algorithm. A medical case was studied to see if the proposed method for group decision-making is feasible. In the section of medical case, infectious diseases that were common before COVID-19 were selected. The newly given algorithm was applied to the opinions of physicians about these diseases. According to the Hamming Distance values, the results of three out of four physicians are the same; In the values obtained with Euclidean distance, it was seen that the opinions of all physicians were the same. It has been revealed that the newly proposed algorithm has increased the reliability of the results from the group decision analysis.