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Novel on Digital Neutrosophic Topological Spaces

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Proceedings of 2nd International Conference on Mathematical Modeling and Computational Science

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1422))

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Abstract

The unused concepts of digital neutrosophic sets are considered in this paper. The thoughts of digital neutrosophic interior and closure, digital neutrosophic regular open set, digital neutrosophic regular open set, digital neutrosophic pre-open set, digital neutrosophic semi-open set, digital neutrosophic α open set and digital neutrosophic β open sets have been characterized and their interrelationship among the sets has been examined. Modern curiously spaces like advanced digital neutrosophic pre-space, digital neutrosophic semi-space, digital neutrosophic α space, digital neutrosophic β space and digital neutrosophic regular-T1/2 space have been set up. In addition to this, the outline of their interconnects between the spaces are examined with fundamental illustrations. The new idea of α-border, α-frontier and α-exterior are presented by means of digital neutrosophic topological spaces  and their characterization has been derived.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Avadi, Chennai, Tamil Nadu, 600062, India

    R. Narmada Devi

  2. Department of Mathematics, University of Technology and Applied Sciences-Ibri, Ibri, 466, 516, Sultanate of Oman

    Suresh Rasappan

  3. Faculty of Computer Science and Mathematics, University of Kufa, Kufa, Iraq

    Ahmed J. Obaid

Authors
  1. R. Narmada Devi
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  2. Suresh Rasappan
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  3. Ahmed J. Obaid
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Corresponding author

Correspondence to R. Narmada Devi .

Editor information

Editors and Affiliations

  1. Department of Creative Technologies and Product Design, National Taipei University of Business, Taoyuan, Taiwan

    Sheng-Lung Peng

  2. Department of Computer Science, National Yang Ming Chiao Tung University, Hsinchu, Taiwan

    Cheng-Kuan Lin

  3. Department of Computer Science and Engineering, Sister Nivedita University, Kolkata, West Bengal, India

    Souvik Pal

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Narmada Devi, R., Rasappan, S., Obaid, A.J. (2022). Novel on Digital Neutrosophic Topological Spaces. In: Peng, SL., Lin, CK., Pal, S. (eds) Proceedings of 2nd International Conference on Mathematical Modeling and Computational Science. Advances in Intelligent Systems and Computing, vol 1422. Springer, Singapore. https://doi.org/10.1007/978-981-19-0182-9_22

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