Akademik Veri Yönetim Sistemi
Mathematical Methods for Engineering Applications, Fatih Yilmaz,Araceli Queiruga-Dios,María Jesús Santos Sánchez,Deolinda Rasteiro,Víctor Gayoso Martínez,Jesús Martín Vaquero, Editör, Springer Nature, Madrid, ss.325-338, 2024
A trustworthy information is metric for assessing the association between Fermatean fuzzy sets (FFS) is the correlation coefficient (KK). There are a few methods for figuring out the KK of FFSs. These previous methodologies, which are specified between [0, 1], simply evaluate the strength of the link between FFSs. This study, using the notions of variance and covariance, respectively, provides a three-way method for computing the KKs between FFSs. The strength of the association between the considered FFSs is demonstrated by this novel approach, which is defined inside the interval [-1, 1] similar to standard statistics, and it identifies whether the FFSs are positively or negatively associated. The potential of inaccuracy owing to information leakage is reasonably mitigated by the suggested technique's inclusion of the three traditional FFS parameters. To demonstrate the new technique's usefulness as an accurate information measure, several theoretical results will be used to validate it. The advantages of the new methods over comparable methods will be demonstrated using a few numerical examples. With the help of the novel approach, several decision-making issues involving pattern recognition and diagnostic medicine will be handled. Multi-attribute decision-making issues can be resolved using the three-way technique for determining the correlation coefficient between FFSs.