The Ingenuity of Neutrosophic Topology via N-Topology

Authors

  • M. Lellis Thivagar School of Mathematics Madurai Kamaraj University Madurai - 625 021, Tamil Nadu, INDIA
  • S. Jafari Department of Mathematics College of Vestsjaelland South Herrestraede 11, 4200 Slagelse, Denmark
  • V. Antonysamy School of Mathematics Madurai Kamaraj University Madurai - 625 021, Tamil Nadu, INDIA
  • V. Sutha Devi School of Mathematics Madurai Kamaraj University Madurai - 625 021, Tamil Nadu, INDIA

Keywords:

N_k-topology, N_k int(A), N_k cl(A), N_k-generalized closed set, N_k-continuous function, N_k- generalized continuous function

Abstract

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.

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Published

2018-04-28

Issue

Vol. 19 (2018): Neutrosophic Sets and Systems vol. 19 (201`8)

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

M. Lellis Thivagar, S. Jafari, V. Antonysamy, & V. Sutha Devi. (2018). The Ingenuity of Neutrosophic Topology via N-Topology. Neutrosophic Sets and Systems, 19(2018-04-28), 91-100. https://fs.unm.edu/nss8/index.php/111/article/view/359

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