Regular extension operators for partial fuzzy (pseudo)metrics
Using the fuzzy modification of the Prokhorov metric on the set of probability measures we prove the theorem on existence of simultaneous extensions of partial fuzzy metrics (for the Lukasiewicz t-norm) defined on closed subsets of a compact metrizable space.
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| Format: | Article |
| Language: | deu |
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Ivan Franko National University of Lviv
2011-07-01
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| Series: | Математичні Студії |
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| Online Access: | http://matstud.org.ua/texts/2011/36_1/26-30.pdf |
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| _version_ | 1850051957888122880 |
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| author | A. Savchenko |
| author_facet | A. Savchenko |
| author_sort | A. Savchenko |
| collection | DOAJ |
| description | Using the fuzzy modification of the Prokhorov metric on the set of probability measures we prove the theorem on existence of simultaneous extensions of partial fuzzy metrics (for the Lukasiewicz t-norm) defined on closed subsets of a compact metrizable space. |
| format | Article |
| id | doaj-art-12627c0aeb4448c6bb022bcba853b7de |
| institution | DOAJ |
| issn | 1027-4634 |
| language | deu |
| publishDate | 2011-07-01 |
| publisher | Ivan Franko National University of Lviv |
| record_format | Article |
| series | Математичні Студії |
| spelling | doaj-art-12627c0aeb4448c6bb022bcba853b7de2025-08-20T02:52:59ZdeuIvan Franko National University of LvivМатематичні Студії1027-46342011-07-013612630Regular extension operators for partial fuzzy (pseudo)metricsA. SavchenkoUsing the fuzzy modification of the Prokhorov metric on the set of probability measures we prove the theorem on existence of simultaneous extensions of partial fuzzy metrics (for the Lukasiewicz t-norm) defined on closed subsets of a compact metrizable space.http://matstud.org.ua/texts/2011/36_1/26-30.pdffuzzy (pseudo)metricsprobability measuremetrizable space |
| spellingShingle | A. Savchenko Regular extension operators for partial fuzzy (pseudo)metrics Математичні Студії fuzzy (pseudo)metrics probability measure metrizable space |
| title | Regular extension operators for partial fuzzy (pseudo)metrics |
| title_full | Regular extension operators for partial fuzzy (pseudo)metrics |
| title_fullStr | Regular extension operators for partial fuzzy (pseudo)metrics |
| title_full_unstemmed | Regular extension operators for partial fuzzy (pseudo)metrics |
| title_short | Regular extension operators for partial fuzzy (pseudo)metrics |
| title_sort | regular extension operators for partial fuzzy pseudo metrics |
| topic | fuzzy (pseudo)metrics probability measure metrizable space |
| url | http://matstud.org.ua/texts/2011/36_1/26-30.pdf |
| work_keys_str_mv | AT asavchenko regularextensionoperatorsforpartialfuzzypseudometrics |