On asymptotic behaviour of universal fuzzy measures

Ladislav Mišík; János T. Tóth

Kybernetika (2006)

  • Volume: 42, Issue: 3, page 379-388
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Mišík, Ladislav, and Tóth, János T.. "On asymptotic behaviour of universal fuzzy measures." Kybernetika 42.3 (2006): 379-388. <http://eudml.org/doc/33812>.

@article{Mišík2006,
abstract = {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.},
author = {Mišík, Ladislav, Tóth, János T.},
journal = {Kybernetika},
keywords = {universal fuzzy measures; asymptotic fuzzy measures; asymptotic densities; universal fuzzy measure; asymptotic fuzzy measure; asymptotic density},
language = {eng},
number = {3},
pages = {379-388},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On asymptotic behaviour of universal fuzzy measures},
url = {http://eudml.org/doc/33812},
volume = {42},
year = {2006},
}

TY - JOUR
AU - Mišík, Ladislav
AU - Tóth, János T.
TI - On asymptotic behaviour of universal fuzzy measures
JO - Kybernetika
PY - 2006
PB - Institute of Information Theory and Automation AS CR
VL - 42
IS - 3
SP - 379
EP - 388
AB - 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.
LA - eng
KW - universal fuzzy measures; asymptotic fuzzy measures; asymptotic densities; universal fuzzy measure; asymptotic fuzzy measure; asymptotic density
UR - http://eudml.org/doc/33812
ER -

References

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  1. Balcar B., Štěpánek P., Set Theory (in Czech), Academia, Praha 1986 MR0911270
  2. Engelking R., General Topology, Polish Scientific Publishers, Warszawa 1977 Zbl0684.54001MR0500780
  3. Grekos G., Sur la répartition des densités des sous-suites d’une suite donnée, Ph.D. Thesis, Université Pierre et Marie Curie, 1976 
  4. Grekos G., Giuliano-Antonini, R., Mišík L., On weighted densities, Czech Math. Journal (to appear) Zbl1195.11018MR2356932
  5. Grekos G., Volkmann B., 10.1016/0022-314X(87)90074-6, J. Number Theory 26 (1987), 129–148 (1987) Zbl0622.10044MR0889380DOI10.1016/0022-314X(87)90074-6
  6. Kostyrko P., Šalát, T., Wilczynski W., I-convergence, Real Anal. Exchange 26 (2000/2001), 669–686 Zbl1021.40001MR1844385
  7. Strauch O., Tóth J. T., Asymptotic density of A ⊂ ℕ and density of the ratio set R ( A ) , Acta Arith. LXXXVII.1 (1998), 67–78 (1998) 
  8. Mesiar R., Valášková Ĺ., Universal fuzzy measures, In: Proc. IFSA 2003, Istanbul, pp. 139–142 Zbl1190.28012
  9. Pospíšil B., 10.2307/1968840, Ann. Math. 38 (1937), 845–846 (1937) Zbl0017.42901MR1503375DOI10.2307/1968840
  10. Valášková Ĺ., Non-additive Measures and Integrals, Ph.D. Thesis, Slovak Technological University, Bratislava 2006 

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