Actual metric representing a fuzzy metric (Q1996459)
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scientific article; zbMATH DE number 7317693
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Actual metric representing a fuzzy metric |
scientific article; zbMATH DE number 7317693 |
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Actual metric representing a fuzzy metric (English)
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5 March 2021
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This paper defines two ordinary metrics, the upper lambda-metric and the lower lambda-metric from a fuzzy metric. Necessary and sufficient conditions for the coincidence between these two ordinary metrics are given. Relations between topologies induced by a metric and its fuzzifications are studied. If a metric induces a fuzzy metric, then the topologies induced by this metric and the related upper/lower lambda-metric are the same.
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fuzzy metric
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metric
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topology
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0.84098244
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0.8301896
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