RT Journal Article T1 On various neutrosophic topologies A1 Gallego Lupiáñez, Francisco AB Purpose - Recently, F. Smarandache generalized the Atanassov's intuitionistic fuzzy sets (IFSs) and other kinds of sets to neutrosophic sets (NTSs) and also defined various notions of neutrosophic topologies on the non-standard interval. One can expect some relation between the intuitionistic fuzzy topology (IFT) on an IFS and neutrosophic topologies on the non-standard interval. The purpose of this paper is to show that this is false. Design/methodology/approach - The possible relations between the intuitionistic fuzzzy topology and neutrosophic topologies are studied. Findings - Relations on IFT and neutrosophic topologies. Research limitations/implications -Clearly, the paper is confined to IFSs and NSs. Practical implications - The main applications are in the mathematical field. Originality/value - The paper shows original results on fuzzy sets and topology. PB Emerald Group Publishing Limited SN 0368-492X YR 2009 FD 2009 LK https://hdl.handle.net/20.500.14352/49937 UL https://hdl.handle.net/20.500.14352/49937 DS Docta Complutense RD 16 may 2024