RT Journal Article T1 Interval neutrosophic sets and topology. A1 Gallego Lupiáñez, Francisco AB Purpose - In 2005, Smarandache generalized the Atanassov's intuitionistic fuzzy sets (IFSs) to neutrosophic sets (NS), and other researchers introduced the notion of interval neutrosophic set (INSs), which is an instance of NS, and studied various properties. The notion of neutrosophic topology on the non-standard interval is also due to Smarandache. The purpose of this paper is to study relations between INSs and topology. Design/methodology/approach - The paper investigates the possible relations between INSs and topology. Findings - Relations on INSs and neutrosophic topology. 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/20.500.14352/49938 UL https://hdl.handle.net/20.500.14352/49938 DS Docta Complutense RD 8 abr 2025