Title of article :
Novel Characterizations of LM-Fuzzy Open Operators
Author/Authors :
Shi ، Fu-Gui School of Mathematics and Statistics - Beijing Institute of Technology
Abstract :
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 different from those defined by level L-topology.
Keywords :
LM , fuzzy topology , LM , fuzzy closure operator , LM , fuzzy semiopen operator , LMfuzzy preopen operator , LM , fuzzy regular open operator
Journal title :
Transactions on Fuzzy Sets and Systems
Journal title :
Transactions on Fuzzy Sets and Systems
