摘要

A. Mukherjee has introduced the concepts of fuzzy totally continuous and fuzzy totally semi-continuous functions in 1999. Apart from the fact that fuzzy total continuity and fuzzy total semi-continuity were introduced in Mukherjee's paper without regard for whether they are topological notions (i.e. give rise to topological categories) or for whether there are deep, canonical examples of such concepts, we show in this note that there are mathematical errors in some of the claimed results of the paper as well.