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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Bibliographic Details
Published in:	Neutrosophic sets and systems Vol. 19; pp. 91 - 100
Main Authors:	Thivagar, M. Lellis, Jafari, S, Antonysamy, V, Devi, V. Sutha
Format:	Journal Article
Language:	English
Published:	Neutrosophic Sets and Systems 01-03-2018 University of New Mexico
Subjects:	Mathematical research Nk-continuous function Nk-generalized closed set Nk-generalized continuous function Nk-topology Nkcl(A) Nkint(A) Set theory Topology
Online Access:	Get full text
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Summary:	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. 2010 MSC: 54A05, 54A40, 03E72. Keywords: [N.sub.k]-topology, [N.sub.k]int(A), [N.sub.k]cl (A), [N.sub.k]- generalized closed set, [N.sub.k]-continuous function, [N.sub.k]-generalized continuous function.
ISSN:	2331-6055 2331-608X
DOI:	10.5281/zenodo.1235315