Convergence in Fuzzy Semi-Metric Spaces

Convergence in Fuzzy Semi-Metric Spaces

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...

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Bibliographic Details
Main Author: Hsien-Chung Wu
Format: Article
Language:English
Published: MDPI AG 2018-09-01
Series:Mathematics
Subjects:
dual fuzzy semi-metric
fuzzy semi-metric space
metric convergence
triangle inequality
triangular norm
Online Access:http://www.mdpi.com/2227-7390/6/9/170
Description
Summary: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.
ISSN:2227-7390

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