Why does image segmentation benefit from fuzzy clustering?
If you take aerial images for example, you might need to identify overlaps. 

Lets say your goal is to segment water, vegetation and rock areas. More to be assigned to the closest centroid, there are hidden memberships to other centroids that can be identified by fuzzy c-means image segmentation.

On this thesis at https://zone.biblio.laurentian.ca/handle/10219/2616, at section (4.5 Analysis - Task 1) you can find detailed analysis using both (k-means &amp; fuzzy c-means).