Uncertain fuzzy clustering: Insights and recommendations

The interval type-2 fuzzy sets were used to model the uncertainty that is associated with the various parameters in objective function-based clustering to represent and manage the uncertainty in the cluster memberships. The clustering methods were obtained by modifying the prototype-updating and hard-partitioning procedures in the type-1 fuzzy objective function-based clustering. The management of uncertainty by an interval type-2 fuzzy approach aids cluster prototypes to converge to a more desirable location than a type-1 fuzzy approach. The uncertainty associated with the parameters for other existing clustering algorithms can be considered in the development of several other interval type-2 clustering algorithms.