Gallego Lupiáñez, Francisco2023-06-202023-06-2020090368-492Xhttp//:dx.doi.org/10.1108/03684920910973207https://hdl.handle.net/20.500.14352/49937Purpose - 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.journal articlehttp://www.emeraldinsight.com/journals.htm?articleid=1800580&show=abstracthttp://www.emeraldinsight.commetadata only access510.64515.1Fuzzy logicLogicSet theoryTopologyLógica simbólica y matemática (Matemáticas)Topología1102.14 Lógica Simbólica1210 Topología