Online from: 1972
Subject Area: Electrical & Electronic Engineering
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|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|
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.
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