| input: Dataset |
| Initialize parameters FCM and NSGA-II including population size Pop, |
| itermax, , , , , Tmax. |
| Random to select initial number of clusters and random to generate initial cluster |
| centers to create a initialize population . |
| Decode each individual to obtain the cluster centers, and calculate the membership |
| degrees using Eq. (3). |
| Calculate new cluster centers of each individual using Eq. (4) based on and |
| Calculate the of each individual using Eq. (2) based on and |
| Calculate fitness values and of each individual using Eq. (10) and (11). Calculate |
| , store and at each iteration. |
| Non-dominated sorting and crowding distance operation for population. |
| Using the crowded comparison operator to select. |
| Calculate and using Eq. (16). |
| Generate offspring using genetic operation. |
| Recombination current generation and offspring to select next generation using |
| elitism operation. |
| Using majority voting technique to determine the number of cluster . |
| If the number satisfies the selection condition, go to step (14); else go to step (3). |
| Find all chromosomes whose cluster numbers are equal to from the population in |
| step (11). The new population is composed of these chromosomes. |
| Decode each individual to obtain the cluster centers, and calculate the membership |
| degrees using Eq. (3). |
| Calculate new cluster centers of each individual using Eq. (4) based on and |
| Calculate the of each individual using Eq. (2) based on and |
| Calculate fitness values and of each individual using Eq. (10) and (11). |
| Calculate , store and at each iteration. |
| Non-dominated sorting and crowding distance operation for population. |
| Using the crowded comparison operator to select. |
| Calculate and using Eq. (16). |
| Generate offspring using genetic operation. |
| Recombination current generation and offspring to select next generation using |
| elitism operation. |
| If ADNSGA2-FCM has not met the stopping criterion ( |
| and ), else and go to step (14). |
| Return the best individual (). |
