On various neutrosophic topologies
Abstract
Purpose
Recently, F. Smarandache generalized the Atanassov's intuitionistic fuzzy sets (IFSs) and other kinds of sets to neutrosophic sets (NSs) 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.
Keywords
Citation
Gallego Lupiáñez, F. (2009), "On various neutrosophic topologies", Kybernetes, Vol. 38 No. 6, pp. 1005-1009. https://doi.org/10.1108/03684920910973207
Publisher
:Emerald Group Publishing Limited
Copyright © 2009, Emerald Group Publishing Limited