Novel Characterizations of $LM$-Fuzzy Open Operators
الموضوعات : Transactions on Fuzzy Sets and Systems
Fu-Gui Shi
1
(School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China.)
الکلمات المفتاحية: $LM$-fuzzy topology, $LM$-fuzzy closure operator, $LM$-fuzzy semiopen operator, $LM$-fuzzy preopen operator, $LM$-fuzzy regular open operator,
ملخص المقالة :
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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