Abstract: Using r-pre-semiopen (r-pre-semiclosed) L-set, we defined presemicountinous mapping, pre-semiopen mapping, pre-semiclosed mapping, pre-semiirresolute mapping, pre-semiirresolute open mapping and presemiirresolute closed mapping in L-fuzzy topological spaces. We proved that every percountinous mapping was presemicountinous mapping, every peropen (preclosed) mapping was persemiopen (presemiclosed) mapping. Moreover, we gave some equivalent characterizations of the above mappings.

Key words: L-fuzzy topological space, pre-semicountinous mapping, pre-semiopen(pre-semiclosed) map
ping, pre-semiirresolute mapping, pre-semiirresolute open (pre-seimiirresolute- closed) mapping, r-pre-semiopen (closed) L-set