Novel Characterizations of $LM$-Fuzzy Open Operators

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 di erent from those de ned by level $L$-topology.

Keywords

• $lm$-fuzzy topology
• $lm$-fuzzy closure operator
• $lm$-fuzzy semiopen operator
• $lm$-fuzzy preopen operator
• $lm$-fuzzy regular open operator