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Convergence in Fuzzy Semi-Metric Spaces

Author

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  • Hsien-Chung Wu

    (Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 802, Taiwan)

Abstract

The convergence using the fuzzy semi-metric and dual fuzzy semi-metric is studied in this paper. The infimum type of dual fuzzy semi-metric and the supremum type of dual fuzzy semi-metric are proposed in this paper. Based on these two types of dual fuzzy semi-metrics, the different types of triangle inequalities can be obtained. We also study the convergence of these two types of dual fuzzy semi-metrics.

Suggested Citation

  • Hsien-Chung Wu, 2018. "Convergence in Fuzzy Semi-Metric Spaces," Mathematics, MDPI, vol. 6(9), pages 1-39, September.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:9:p:170-:d:170370
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    References listed on IDEAS

    as
    1. Gregori, V. & Romaguera, S. & Veeramani, P., 2006. "A note on intuitionistic fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 902-905.
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