An adaptive FCM model for interval type-2 fuzzy data and its corresponding validity index

In this paper a modified fuzzy c-means clustering method is presented which is applicable for interval type-2 fuzzy data sets. A quantifying similarity measure based on Euclidean distances function which measuredthe similarity between the information contained in each interval type-2 fuzzy data point is implemented fordata clustering. Moreover, a modified Xie-Beni index is presented which is used for interval type-2 fuzzysets. Some numerical examples used to show the usefulness of IT2 fuzzy c-mean clustering method. Theresults show IT2FCM is the superior and efficient method for interval type-2 fuzzy sets clustering.

Keywords:

Interval type-2 fuzzy set , Fuzzy c-means clustering , Validity index