Neutrosophic set connected mappings

Authors

  • S. S. Thakur Department of Applied Mathematics, Jabalpur Engineering College Jabalpur, 482011, India
  • S. Jafari Mathematical and Physical Science Foundation, 4200 Slagelse, Denmark
  • G. Nordo Dipartimento di Scienze Matematiche e Informatiche, Scienze Fisiche e Scienze della Terra dell’Universita degli Studi di Messina, Viale Ferdinando Stagno d’Alcontres, 31 - 98166 Messina, Italy

Keywords:

Neutrosophic sets, neutrosophic connectedness, neutrosophic connectedness between neutrosophic sets, neutrosophic set-connected mappings

Abstract

 In this paper, the concept of neutrosophic connectedness between neutrosophic sets in neutrosophic
 topological spaces has been introduced. It is shown that a neutrosophic topological space is neutrosophic
 connected if and only if it is neutrosophic connected between every pair of its nonempty neutrosophic sets.
 Further, a new class of mappings called neutrosophic set connected mappings has been defined. It is shown
 that the class of all neutrosophic continuous mappings is a subclass all neutrosophic set-connected mappings.
 Several properties and characterizations of neutrosophic set-connected mappings in neutrosophic topological
 spaces have been studied.

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Published

2024-09-10

Issue

Vol. 73 (2024): Neutrosophic Sets and Systems {Special Issue: Mediterranean Conference on Three Decades of Neutrosophic and Plithogenic Theories and Applications (MeCoNeT 2024)}, Vol. 73, 2024

Section

Article

License

Copyright (c) 2024 Neutrosophic Sets and Systems

Creative Commons License

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

 Creative Commons Attribution (CC BY) license.

How to Cite

S. S. Thakur, S. Jafari, & G. Nordo. (2024). Neutrosophic set connected mappings. Neutrosophic Sets and Systems, 73, 492-505. https://fs.unm.edu/nss8/index.php/111/article/view/5067

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