Novel Characterizations of $LM$-Fuzzy Open Operators

Transactions on Fuzzy Sets and Systems

مقاله 3، دوره 1، شماره 2، بهمن 2022، صفحه 6-20   

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.30495/tfss.2022.1958599.1029

نویسنده

Fu-Gui Shi^*

School of Mathematics and Statistics Beijing Institute of Technology Beijing 102488, P.R. China

چکیده

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.

کلیدواژه‌ها

$LM$-fuzzy topology؛ $LM$-fuzzy closure operator؛ $LM$-fuzzy semiopen operator؛ $LM$-fuzzy preopen operator؛ $LM$-fuzzy regular open operator

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