X. Y. Wu - School of Mathematics and Statistics, Anhui Normal University, Wuhu, China
Y. Shi - School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, China

In this paper, notions of \LM fuzzy topological derived internal relation space and \LMfuzzy topological derived interior space are introduced.It is proved that they are categorically isomorphic to \LM fuzzy topological internalrelation space and \LM fuzzy topological space. Also, notions of \LM fuzzy topologicalderived enclosed relation space and \LM fuzzy topological derived closure space are introduced. It is proved that they are categorically isomorphic to \LM fuzzy topological enclosed relation space and \LM fuzzy topological space.

LM fuzzy topological derived internal relation space, LM fuzzy topological derived interior space, LM fuzzy derived topological enclosed relation space, LM fuzzy topological derived closure space