| Title:
|
On asymptotic behaviour of universal fuzzy measures (English) |
| Author:
|
Mišík, Ladislav |
| Author:
|
Tóth, János T. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
42 |
| Issue:
|
3 |
| Year:
|
2006 |
| Pages:
|
379-388 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The asymptotic behaviour of universal fuzzy measures is investigated in the present paper. For each universal fuzzy measure a class of fuzzy measures preserving some natural properties is defined by means of convergence with respect to ultrafilters. (English) |
| Keyword:
|
universal fuzzy measures |
| Keyword:
|
asymptotic fuzzy measures |
| Keyword:
|
asymptotic densities |
| MSC:
|
03E72 |
| MSC:
|
28E10 |
| idZBL:
|
Zbl 1249.28026 |
| idMR:
|
MR2253396 |
| . |
| Date available:
|
2009-09-24T20:16:49Z |
| Last updated:
|
2015-03-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135721 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] Grekos G.: Sur la répartition des densités des sous-suites d’une suite donnée.Ph.D. Thesis, Université Pierre et Marie Curie, 1976 |
| Reference:
|
[4] Grekos G., Giuliano-Antonini, R., Mišík L.: On weighted densities.Czech Math. Journal (to appear) Zbl 1195.11018, MR 2356932 |
| Reference:
|
[5] Grekos G., Volkmann B.: On densities and gaps.J. Number Theory 26 (1987), 129–148 Zbl 0622.10044, MR 0889380, 10.1016/0022-314X(87)90074-6 |
| Reference:
|
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| Reference:
|
[7] Strauch O., Tóth J. T.: Asymptotic density of $A \subset {\mathbb{N}}$ and density of the ratio set $R(A)$.Acta Arith. LXXXVII.1 (1998), 67–78 |
| Reference:
|
[8] Mesiar R., Valášková Ĺ.: Universal fuzzy measures.In: Proc. IFSA 2003, Istanbul, pp. 139–142 Zbl 1190.28012 |
| Reference:
|
[9] Pospíšil B.: Remark on bicompact spaces.Ann. Math. 38 (1937), 845–846 Zbl 0017.42901, MR 1503375, 10.2307/1968840 |
| Reference:
|
[10] Valášková Ĺ.: Non-additive Measures and Integrals.Ph.D. Thesis, Slovak Technological University, Bratislava 2006 |
| . |
