On neutrosophic topology

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Kybernetes

ISSN: 0368-492X

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Document Information:
Title:	On neutrosophic topology
Author(s):	Francisco Gallego Lupiáñez, (Department of Mathematics, University Complutense, Madrid, Spain)
Citation:	Francisco Gallego Lupiáñez, (2008) "On neutrosophic topology", Kybernetes, Vol. 37 Iss: 6, pp.797 - 800
Keywords:	Cybernetics, Set theory, Topology
Article type:	Research paper
DOI:	10.1108/03684920810876990 (Permanent URL)
Publisher:	Emerald Group Publishing Limited
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.