Algorithm 2: PFCM Pseudo-Code

Let $X=\left\{x_j\right\}$ the vectors of voxels, $U=\left\{{\mu }_{ij}\right\}$ the matrix of membership degrees, $T=\left\{t_{ij}\right\}$ the matrix of typicality degrees, $B=\left\{b_{ij}\right\}$ the matrix of cluster centers with $1\le i\le C,1\le j\le N.$ m the degree of fuzzy and $\eta$ the degree of weight possibilistic. Initialize the centers vectors B(0) = [bj] and the degrees of belonging matrix U(0) using hybrid BCFCM-GA method. At k-step: - Compute the matrix of membership degrees U(k) using Equation (9). - Compute the matrix of typicality degrees T(k) using Equation (10). - Compute the prototype matrix B(k) using Equation (11). - Compute the objective function ${\mathrm{J}}_{\mathrm{PFCM}}^{\left(\mathrm{k}\right)}$ using Equation (8). Update: U(k+1), T(k+1), B(k+1) and ${\mathrm{J}}_{\mathrm{PFCM}}^{\left(\mathrm{k}+1\right)}$ Repeat steps (2) and (3) until the stop criterion is met: $\Vert {\mathrm{J}}_{\mathrm{PFCM}}^{\left(\mathrm{k}+1\right)}-{\mathrm{J}}_{\mathrm{PFCM}}^{\left(\mathrm{k}\right)}\Vert <\mathsf{\epsilon }$