Fu-Gui Shi - School of Mathematics and Statistics Beijing Institute of Technology Beijing ۱۰۲۴۸۸, P.R. China

In this paper, we present some characterizations of the LM-fuzzy interior operator, the LM-fuzzy closure operator, LM-fuzzy semiopen operator and LM-fuzzy preopen operator in an LM-fuzzy topological space. Based on them, we introcuced the notions of LM-fuzzy regularly open operators and LM-fuzzy regularly closed operators and show that these kinds of openness degrees are di erent from those de ned by level L-topology.

LM-fuzzy topology, LM-fuzzy closure operator, LM-fuzzy semiopen operator, LM-fuzzy preopen operator, LM-fuzzy regular open operator