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On neutrosophic topology

Lupianez, Francisco Gallego (2008) On neutrosophic topology. Kybernetes, 37 (6). pp. 797-800. ISSN 0368-492X

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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 OFT) 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.


Item Type:Article
Uncontrolled Keywords:Cybernetics; Set theory; Topology
Subjects:Sciences > Mathematics > Set theory
Sciences > Mathematics > Cybernetics
Sciences > Mathematics > Topology
ID Code:15278
Deposited On:21 May 2012 10:42
Last Modified:20 Nov 2014 09:31

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