Correlation between intuitionistic fuzzy sets: Some conceptual and numerical extensions

Algorithm for solving the decision-making problems based on correlation coefficients under cubic intuitionistic fuzzy information: a case study in watershed hydrological system

“…As the IVIFS is a special case of the considered CIFS environment (see Remark 1) by setting IFS component (μ, ν) = (0, 1) for the R-ordered CIFS, and therefore, the proposed measure can handle the given information accordingly. Therefore, the proposed method has wider scope than existing methods [10,12,15,16,[32][33][34][35][36]. The results of the proposed measures are aligned with the results of the existing approaches under the IVIFS theories.…”

“…The optimum result is summarized in Table 3 along with existing methods [12,[32][33][34]. It is determined from this table that the most appropriate alternative achieved by the stated measures is the same and harmonizes with the existing approaches.…”

“…For it, the proposed correlation measures are computed along with the existing studies [10,12,15,16,[31][32][33][34][35][36], results are given in Table 7. This table shows that the methods [10,12,15,16,[32][33][34][35][36] cannot solve this problem because they do not meet the conditions of IFS and IVIFS. However, the approaches under the CIFS environment [31] and the proposed method can easily handle the information.…”

“…The above examples show the effectiveness of the stated method; however, to elucidate the multiple advantages with the existing studies [10,12,15,16,[32][33][34][35][36], we explain it in Table 8 for the considered example. In this table, the symbol × represents the failure of the environment to capture the specific environment and the symbol shows the ability of the environment over the other ones.…”

New correlation coefficients for hesitant fuzzy sets

“…On other side, some authors have presented correlation coefficients between Atanassov's intuitionistic fuzzy sets ranging in the interval [−1, 1], like Hung and Wu (see [17]) and Szmidt et at. (see [18]) among others.…”