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.

Citation

Gallego Lupiáñez, F. (2009), "On various neutrosophic topologies", Kybernetes, Vol. 38 No. 6, pp. 1005-1009. https://doi.org/10.1108/03684920910973207