Novel Characterizations of $LM$-Fuzzy Open Operators

Subject Areas : Transactions on Fuzzy Sets and Systems

Fu-Gui Shi ^{1 *}

1 - School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China.

Received: 2022-05-12 Accepted : 2022-05-12 Published : 2022-11-07

Keywords: $LM$-fuzzy topology, $LM$-fuzzy closure operator, $LM$-fuzzy semiopen operator, $LM$-fuzzy preopen operator, $LM$-fuzzy regular open operator,

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.

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