On various neutrosophic topologies

descriptionPublicationkeyboard_double_arrow_right Article , Part of book or chapter of book 12 Jun 2009 English Publisher:EmeraldJournal:Kybernetes, volume 38, pages 1,005-1,009 (issn: 0368-492X,

Copyright policy )

Authors: Francisco Gallego Lupiáñez;

doi: 10.1108/03684920910973207 , 10.5281/zenodo.12651676 , 10.5281/zenodo.1413408 , 10.5281/zenodo.1413409 , 10.5281/zenodo.12651675

On various neutrosophic topologies

- Summary
- Subjects
- Metrics

Abstract

PurposeRecently, 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/approachThe possible relations between the intuitionistic fuzzzy topology and neutrosophic topologies are studied.FindingsRelations on IFT and neutrosophic topologies.Research limitations/implicationsClearly, the paper is confined to IFSs and NSs.Practical implicationsThe main applications are in the mathematical field.Originality/valueThe paper shows original results on fuzzy sets and topology.

Related Organizations

College of New Jersey
United States
Complutense University of Madrid
Spain

Keywords

topology, neutrosophic sets, Fuzzy topology, intuitionistic fuzzy sets, intuitionistic fuzzy topology, neutrosophic topology

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	3
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average