In this paper, a new type of fuzzy multifunction is introduced between a set having min-imal structure [15, 16] and a fuzzy topological space (fts, for short) in the sense of Chang [6] which generalizes fuzzy contra continuous multifunction. It is also shown that the im-age of an m-compact space [15, 16] under this fuzzy multifunction is fuzzy s-closed [20] under certain conditions.