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Separation axioms in \((L,M)\)-fuzzy topology \((L,M)\)-fuzzy convexity spaces. (English) Zbl 1488.54034

Summary: In this paper, we define \(r\)-\(L\)-fuzzy closed convex sets and \(r\)-\(L\)-fuzzy closed neighbourhoods in an \((L, M)\)-fuzzy topology \((L, M)\)-fuzzy convexity spaces. Also, \(r\)-\(L\)-fuzzy neighbourhood separation properties \(r\)-\(L\)-\(F N S_i\) were studied where \(i=\{0,1,2,3,4\}\). In addition, we also study the invariance or otherwise of these separation properties under subspace and product.

MSC:

54A40 Fuzzy topology
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