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On the Topology Induced by C *-Algebra-Valued Fuzzy Metric Spaces

Author

Listed:
  • Masoumeh Madadi

    (Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 1477893855, Iran)

  • Donal O’Regan

    (School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, University Road, H91 CF50 Galway, Ireland)

  • Choonkil Park

    (Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea)

  • Manuel de la Sen

    (Institute of Research and Development of Processes IIDP, University of the Basque Country, Campus of Leioa, 48940 Leioa, Spain)

  • Reza Saadati

    (School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1684613114, Iran)

Abstract

We define the notion of C * -algebra-valued fuzzy metric spaces and we study the topology induced by these spaces.

Suggested Citation

  • Masoumeh Madadi & Donal O’Regan & Choonkil Park & Manuel de la Sen & Reza Saadati, 2020. "On the Topology Induced by C *-Algebra-Valued Fuzzy Metric Spaces," Mathematics, MDPI, vol. 8(6), pages 1-10, June.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:6:p:905-:d:366673
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    References listed on IDEAS

    as
    1. Saadati, Reza & Park, Jin Han, 2006. "On the intuitionistic fuzzy topological spaces," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 331-344.
    2. Saadati, Reza, 2008. "On the L-fuzzy topological spaces," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1419-1426.
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