Sayed, Osama Rashed; El-Sanousy, El-Sayed; Sayed, Yaser Hassanein Ragheb Separation axioms in \((L,M)\)-fuzzy topology \((L,M)\)-fuzzy convexity spaces. (English) Zbl 1488.54034 Ann. Fuzzy Math. Inform. 21, No. 1, 93-103 (2021). 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 Keywords:\(r\)-\(L\)-fuzzy closed convex set; \(r\)-\(L\)-fuzzy closed neighborhood; \(r\)-\(L\)-\(FNS_0\); \(r\)-\(L\)-\(FNS_1\); \(r\)-\(L\)-\(FNS_2\); \(r\)-\(L\)-\(FNS_3\); \(r\)-\(L\)-\(FNS_4\) PDFBibTeX XMLCite \textit{O. R. Sayed} et al., Ann. Fuzzy Math. Inform. 21, No. 1, 93--103 (2021; Zbl 1488.54034) Full Text: DOI