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Mathematics 2018, 6(9), 170; https://doi.org/10.3390/math6090170

Convergence in Fuzzy Semi-Metric Spaces

Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 802, Taiwan
Received: 31 July 2018 / Revised: 26 August 2018 / Accepted: 13 September 2018 / Published: 17 September 2018
(This article belongs to the Special Issue Nonlinear Analysis Using Fuzzy Mathematics)
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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. View Full-Text
Keywords: dual fuzzy semi-metric; fuzzy semi-metric space; metric convergence; triangle inequality; triangular norm dual fuzzy semi-metric; fuzzy semi-metric space; metric convergence; triangle inequality; triangular norm
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Wu, H.-C. Convergence in Fuzzy Semi-Metric Spaces. Mathematics 2018, 6, 170.

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