  In this comment, we present a simple alternate derivation to the IRW-FCM
algorithm presented in "Iteratively Re-weighted Algorithm for Fuzzy c-Means"
for Fuzzy c-Means problem. We show that the iterative steps derived for IRW-FCM
algorithm are nothing but steps of the popular Majorization Minimization (MM)
algorithm. The derivation presented in this note is much simpler and
straightforward and, unlike the derivation of IRW-FCM, the derivation here does
not involve introduction of any auxiliary variable. Moreover, by showing the
steps of IRW-FCM as the MM algorithm, the inner loop of the IRW-FCM algorithm
can be eliminated and the algorithm can be effectively run as a "single loop"
algorithm. More precisely, the new MM-based derivation deduces that a single
inner loop of IRW-FCM is sufficient to decrease the Fuzzy c-means objective
function, which speeds up the IRW-FCM algorithm.
