Akademik Veri Yönetim Sistemi
7th International HYBRID Conference on Mathematical Advances and Applications, İstanbul, Türkiye, 8 - 11 Mayıs 2024, cilt.1, sa.3, ss.22-29, (Tam Metin Bildiri)
This study presents a new algorithm for group decision-making solutions using Fermatean Fuzzy Soft Matrices (FFSMs), and experts give confidence weights. Fermatean Fuzzy Set (FFS) is a generalization of the intuitionistic fuzzy set (IFS) and the Pythagorean fuzzy set(PFS). Therefore, in real-life problems of uncertainty, the decision-making mechanism in FFS outcomes is better than that of IFS and PFS decision-making. Fermatean Fuzzy Soft Set (FFSS) is derived from the combination of FFS and Soft Set. FFSM is also the matrix representation of FFSSs. Based on the cardinalities of the FFSS, experts have been given a new method that assigns confident weight. Confident weight is given according to the experience and knowledge of each expert. The choice matrix and the combined choice matrix are created first for this process. FFSMs and choice matrices given for each expert are multiplied, and the matrices obtained are summed. Fermatean distance measurements were used to check the accuracy of the results by applying the algorithm. Problems with portfolio selection are ideally suited for multi-attribute decision-making algorithms. Within the multiattribute decision-making paradigm, complicated subjective preferences and diversified financial indices influence investment decisions. The application of the algorithm based on an FFSM was selected for the investment portfolio selection problem.