Convergence in Fuzzy Semi-Metric Spaces

Hsien-Chung Wu
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Hsien-Chung Wu: Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 802, Taiwan

Mathematics, 2018, vol. 6, issue 9, 1-39

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.

Keywords: dual fuzzy semi-metric; fuzzy semi-metric space; metric convergence; triangle inequality; triangular norm (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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