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On Generalized Closed Sets and Generalized Pre-Closed Sets in Neutrosophic Topological Spaces

Author

Listed:
  • Wadei Al-Omeri

    (Department of Mathematics, Al-Balqa Applied University, Salt 19117, Jordan
    Current address: Department of Mathematics, Al-Balqa Applied University, Salt 19117, Jordan.
    These authors contributed equally to this work.)

  • Saeid Jafari

    (Department of Mathematics, College of Vestsjaelland South, Herrestraede 11, 4200 Slagelse, Denmark
    These authors contributed equally to this work.)

Abstract

In this paper, the concept of generalized neutrosophic pre-closed sets and generalized neutrosophic pre-open sets are introduced. We also study relations and various properties between the other existing neutrosophic open and closed sets. In addition, we discuss some applications of generalized neutrosophic pre-closed sets, namely neutrosophic p T 1 2 space and neutrosophic g p T 1 2 space. The concepts of generalized neutrosophic connected spaces, generalized neutrosophic compact spaces and generalized neutrosophic extremally disconnected spaces are established. Some interesting properties are investigated in addition to giving some examples.

Suggested Citation

  • Wadei Al-Omeri & Saeid Jafari, 2018. "On Generalized Closed Sets and Generalized Pre-Closed Sets in Neutrosophic Topological Spaces," Mathematics, MDPI, vol. 7(1), pages 1-12, December.
    • Handle: RePEc:gam:jmathe:v:7:y:2018:i:1:p:1-:d:191993
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    References listed on IDEAS

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    1. S. Scellato & L. Fortuna & M. Frasca & J. Gómez-Gardeñes & V. Latora, 2010. "Traffic optimization in transport networks based on local routing," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 73(2), pages 303-308, January.
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