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On Neutrosophic Sets and Topology

descriptionPublicationkeyboard_double_arrow_right Article , Part of book or chapter of book 01 Jan 2017 English Publisher:Elsevier BVJournal:Procedia Computer Science, volume 120, pages 975-982 (issn: 1877-0509, Copyright policy )
Authors: Lupianez, Francisco Gallego;

doi: 10.1016/j.procs.2018.01.090 , 10.5281/zenodo.12635209 , 10.5281/zenodo.200060 , 10.5281/zenodo.3080674 , 10.5281/zenodo.12635208 , 10.5281/zenodo.3080675 , 10.5281/zenodo.23082

handle: 20.500.14352/88640

On Neutrosophic Sets and Topology

Abstract

Recently, F.Smarandache generalized the Atanassov's intuitionistic fuzzy sets and other kinds of sets to neutrosophic sets. Also, this author defined the notion of neutrosophic topology on the non-standard interval. One can expect some relation between the intuitionistic fuzzy topology on an IFS and the neutrosophic topology. We show in this work that this is false.

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Keywords

Fuzzy sets, logic, topology, Logic, Atanassov's IFSs, intuitionistic fuzzy sets, 1201 Álgebra, 512, set-theory, Topology, set-theory,topology, Set-Theory, Álgebra, neutrosophic theory, Mathematical logic, intuitionistic fuzzy topology

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citations
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).
BIP!Citations provided by BIP!
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.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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