Akademik Veri Yönetim Sistemi
Fuzzy Optimization and Modeling Journal, cilt.4, sa.1, ss.1-14, 2023 (Hakemli Dergi)
When a correlation between datasets is presented, it is clear from this statement that it quantifies
how strongly these datasets are connected. Meanwhile, this coefficient is a well-known metric for
assessing the link between two sets. The Fermatean fuzzy set is a significant extension of the extant
intuitionistic and Pythagorean fuzzy sets, with the benefit of more comprehensively characterizing
ambiguous data. In other words, Fermatean fuzzy sets are powerful and useful tools for
representing imprecise information. The purpose of this work is to generate novel correlation
coefficients using Fermatean fuzzy sets. These coefficients specify the degree and kind of
correlation (positive or negative) between two Fermatean fuzzy sets. The new coefficient values
will similarly be in the [-1,1] range. During formulation, pairs of membership and non-membership
degrees were viewed as a vector representation containing the two elements. Furthermore, the novel
approach was compared to existing methods. A medical diagnosis application and pattern
recognition as a data mining application were used to exemplify the effectiveness of the proposed
method.