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On neutrosophic topology

Francisco Gallego Lupiáñez (Department of Mathematics, University Complutense, Madrid, Spain)

Kybernetes

ISSN: 0368-492X

Article publication date: 17 June 2008

Abstract

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.

Keywords

Citation

Gallego Lupiáñez, F. (2008), "On neutrosophic topology", Kybernetes, Vol. 37 No. 6, pp. 797-800. https://doi.org/10.1108/03684920810876990

Publisher

:

Emerald Group Publishing Limited

Copyright © 2008, Emerald Group Publishing Limited