Interval-Valued Restricted Equivalence Functions Applied on Clustering Techniques

In this work we use interval-valued fuzzy sets in the Fuzzy C-Means algorithm for image segmentation. We introduce interval-valued restricted equivalence functions as a way of measur- ing the equivalence between the intervals associated to different pix- els. We propose two construction methods for those new functions. We also prove experimentally that with these new concepts, the algo- rithm provides better results in ultrasound image segmentation that than those not using intervals. Keywords— Decomposability, Fuzzy C-Means, Interval-Valued Fuzzy Sets, Restricted Equivalence Functions, Ultrasound image.

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