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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.
© Emerald Group Publishing Limited
2008
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