Algorithm 1 FCM for Segmentation.

1. The fuzzy membership matrix $U_{ij}$ in Equation (7) is randomly initialised by satisfying the constraint. $$\sum _{i=1}^c{U}_{ij}=1,1\le j\le n,U_{ij}\in [0,1]$$ (9) 2.Calculate centroids by using Equation (8). 3.By using Equation (6), calculate the dissimilarity between data points and centroids and continue until its improvement over previous iteration is below a threshold. 4.Calculate new fuzzy membership matrix $U_{ij}$ by using Equation (7) and proceed to step 2.