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Certain Notions of Neutrosophic Topological K -Algebras

Author

Listed:
  • Muhammad Akram

    (Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan)

  • Hina Gulzar

    (Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan)

  • Florentin Smarandache

    (Department 705 Gurley Ave., University of New Mexico Mathematics & Science, Gallup, NM 87301, USA)

  • Said Broumi

    (Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Sidi Othman, Casablanca 20000, Morocco)

Abstract

The concept of neutrosophic set from philosophical point of view was first considered by Smarandache. A single-valued neutrosophic set is a subclass of the neutrosophic set from a scientific and engineering point of view and an extension of intuitionistic fuzzy sets. In this research article, we apply the notion of single-valued neutrosophic sets to K -algebras. We introduce the notion of single-valued neutrosophic topological K -algebras and investigate some of their properties. Further, we study certain properties, including C 5 -connected, super connected, compact and Hausdorff, of single-valued neutrosophic topological K -algebras. We also investigate the image and pre-image of single-valued neutrosophic topological K -algebras under homomorphism.

Suggested Citation

  • Muhammad Akram & Hina Gulzar & Florentin Smarandache & Said Broumi, 2018. "Certain Notions of Neutrosophic Topological K -Algebras," Mathematics, MDPI, vol. 6(11), pages 1-15, October.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:11:p:234-:d:179314
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    References listed on IDEAS

    as
    1. A. A. A. Agboola & B. Davvaz, 2015. "Introduction to Neutrosophic BCI/BCK-Algebras," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2015, pages 1-6, March.
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