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On various neutrosophic topologies

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Lupianez, Francisco Gallego (2009) On various neutrosophic topologies. Kybernetes, 38 (6). pp. 1005-1009. ISSN 0368-492X

Official URL: http://www.emeraldinsight.com/journals.htm?articleid=1800580&show=abstract


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Abstract

Purpose - Recently, F. Smarandache generalized the Atanassov's intuitionistic fuzzy sets (IFSs) and other kinds of sets to neutrosophic sets (NTSs) 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/approach - The possible relations between the intuitionistic fuzzzy topology and neutrosophic topologies are studied. Findings - Relations on IFT and neutrosophic topologies. Research limitations/implications -Clearly, the 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:Fuzzy logic; Logic; Set theory; Topology
Subjects:Sciences > Mathematics > Logic, Symbolic and mathematical
Sciences > Mathematics > Topology
ID Code:15274
Deposited On:21 May 2012 10:31
Last Modified:12 Dec 2018 15:13

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