Algorithm 2 RSSFCA Algorithm [24]

Input: c, $\gamma$, $\eta$, T 1:procedure  RSSFCA 2:    Initialize the membership ${\mathbf{U}}^{\left(0\right)}$ and the clustering centers ${\mathbf{V}}^{\left(0\right)}$ using the FCM algorithm 3:    Initialize the covariance matrix ${\mathsf{\Sigma }}^{\left(0\right)}$ utilizing the membership and clustering centroids derived from step 2 and Equation (24), and augment it with an identity matrix $\left(I\right)$ 4:    $t\leftarrow 1$ 5:    Update ${\mathbf{U}}^{\left(t\right)},{\mathbf{V}}^{\left(t\right)},{\mathsf{\Sigma }}^{\left(t\right)}$ using Equations (22)–(24) 6:    Update the objective function ${\tilde{J}}^{\prime \left(t\right)}$ using Equation (17) 7:    if $max|{\tilde{J}}^{\prime \left(t\right)}-{\tilde{J}}^{\prime (t-1)}\le \eta |$ or $t\ge T$ then 8:        Stop 9:    else 10:        $t\leftarrow t+1$ 11:        Go to Step 4      Output: $\tilde{\mathbf{U}},\tilde{\mathbf{V}},\tilde{\mathsf{\Sigma }}$