The Ingenuity of Neutrosophic Topology via N-Topology

In this paper we desire to extend the neutrosophic topological spaces into N-neutrosophic topological spaces. Also we show that this theory can be deduced to N-intuitionistic and N-fuzzy topological spaces etc. Further we develop not only the concept of classical generalized closed sets into N-neutr...

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Main Authors: M. Lellis Thivagar, S. Jafari, V. Antonysamy, V. Sutha Devi
Format: Article
Language:English
Published: University of New Mexico 2018-03-01
Series:Neutrosophic Sets and Systems
Subjects:
Online Access:http://fs.gallup.unm.edu/NSS/TheIngenuityOfNeutrosophicTopology.pdf
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spelling doaj-9b2e95327c1745adb1a23bc81e5b1c862020-11-25T01:30:19ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2018-03-01199110010.5281/zenodo.1235315The Ingenuity of Neutrosophic Topology via N-TopologyM. Lellis ThivagarS. JafariV. AntonysamyV. Sutha DeviIn this paper we desire to extend the neutrosophic topological spaces into N-neutrosophic topological spaces. Also we show that this theory can be deduced to N-intuitionistic and N-fuzzy topological spaces etc. Further we develop not only the concept of classical generalized closed sets into N-neutrosophic topological spaces but also obtain its basic properties. Finally we investigate its continuous function and generalized continuous function.http://fs.gallup.unm.edu/NSS/TheIngenuityOfNeutrosophicTopology.pdfNk-topologyNkint(A)Nkcl(A)Nk-generalized closed setNk-continuous functionNk-generalized continuous function
collection DOAJ
language English
format Article
sources DOAJ
author M. Lellis Thivagar
S. Jafari
V. Antonysamy
V. Sutha Devi
spellingShingle M. Lellis Thivagar
S. Jafari
V. Antonysamy
V. Sutha Devi
The Ingenuity of Neutrosophic Topology via N-Topology
Neutrosophic Sets and Systems
Nk-topology
Nkint(A)
Nkcl(A)
Nk-generalized closed set
Nk-continuous function
Nk-generalized continuous function
author_facet M. Lellis Thivagar
S. Jafari
V. Antonysamy
V. Sutha Devi
author_sort M. Lellis Thivagar
title The Ingenuity of Neutrosophic Topology via N-Topology
title_short The Ingenuity of Neutrosophic Topology via N-Topology
title_full The Ingenuity of Neutrosophic Topology via N-Topology
title_fullStr The Ingenuity of Neutrosophic Topology via N-Topology
title_full_unstemmed The Ingenuity of Neutrosophic Topology via N-Topology
title_sort ingenuity of neutrosophic topology via n-topology
publisher University of New Mexico
series Neutrosophic Sets and Systems
issn 2331-6055
2331-608X
publishDate 2018-03-01
description In this paper we desire to extend the neutrosophic topological spaces into N-neutrosophic topological spaces. Also we show that this theory can be deduced to N-intuitionistic and N-fuzzy topological spaces etc. Further we develop not only the concept of classical generalized closed sets into N-neutrosophic topological spaces but also obtain its basic properties. Finally we investigate its continuous function and generalized continuous function.
topic Nk-topology
Nkint(A)
Nkcl(A)
Nk-generalized closed set
Nk-continuous function
Nk-generalized continuous function
url http://fs.gallup.unm.edu/NSS/TheIngenuityOfNeutrosophicTopology.pdf
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