Purpose – Recently, Smarandache generalized the Atanassov's intuitionistic fuzzy sets (IFSs) and other kinds of sets to neutrosophic sets (NSs). Also, this author defined the notion of neutrosophic topology on the non‐standard interval. One can expect some relation between the intuitionistic fuzzy topology (IFT) on an IFS and the neutrosophic topology. This paper aims to show that this is false. Design/methodology/approach – The possible relation between the IFT and the neutrosophic topology is studied. Findings – Relations on neutrosophic topology and IFT are found. Research limitations/implications – Clearly, this 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.
Kybernetes – Emerald Publishing
Published: Jun 17, 2008
Keywords: Cybernetics; Set theory; Topology