Open problems in the theory of fuzzy metric spaces |
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| Author |
savchenko1960@rambler.ru, mzar@litech.lviv.ua
Kherson Agrarian University, Ivan Franko National University of Lviv
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| Abstract |
We formulate some open problems concerning the space of compact fuzzy metric (measure)
spaces.
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| Keywords |
fuzzy metric space; Gromov-Hausdorff metric; Gromov-Prokhorov distance; compact; measure
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| DOI |
doi:10.15330/ms.43.1.110-112
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| Reference |
1. O. Kramosil, J. Michalek, Fuzzy metric and statistical metric spaces, Kybernetica, 11 (1975), 326–334.
2. A. George, P. Veeramani, On some results on fuzzy metric spaces, Fuzzy Sets and Systems, 64 (1994), 395–399. 3. V. Gregori, S. Romaguera, On completion of fuzzy metric spaces, Fuzzy Sets and Systems, 130 (2002), .3, 399–404. 4. M. Gromov, Metric structures for Riemannian and Non-Riemannian Spaces. Progress in Mathematics, 152. – Birkhauser, 1999, xx+585 p. 5. Savchenko O. A remark on stationary fuzzy metric spaces, Carpathian Mathematical Publications, 3 (2011), ¹1, 124–129. 6. K.-T. Sturm, On the geometry of metric measure spaces. I, Acta Math., 196 (2006), ¹1, 65–131. 7. J. Rodriguez-Lopez, S. Romaguera, The Hausdorff fuzzy metric on compact sets, Fuzzy Sets and Systems, 147 (2004), ¹2, 273–283. 8. D. Repovs, A. Savchenko, M. Zarichnyi, Fuzzy Prokhorov metric on the set of probability measures, Fuzzy Sets and Systems, 175 (2011), ¹1, 96–104. |
| Pages |
110-112
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| Volume |
43
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| Issue |
1
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| Year |
2015
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| Journal |
Matematychni Studii
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| Full text of paper | |
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