T -law of large numbers for fuzzy numbers

Andrea Marková-Stupňanová

Kybernetika (2000)

  • Volume: 36, Issue: 3, page [379]-388
  • ISSN: 0023-5954

Abstract

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The notions of a t -norm and of a fuzzy number are recalled. The law of large numbers for fuzzy numbers is defined. The fuzzy numbers, for which the law of large numbers holds, are investigated. The case when the law of large numbers is violated is studied.

How to cite

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Marková-Stupňanová, Andrea. "$T$-law of large numbers for fuzzy numbers." Kybernetika 36.3 (2000): [379]-388. <http://eudml.org/doc/33490>.

@article{Marková2000,
abstract = {The notions of a $t$-norm and of a fuzzy number are recalled. The law of large numbers for fuzzy numbers is defined. The fuzzy numbers, for which the law of large numbers holds, are investigated. The case when the law of large numbers is violated is studied.},
author = {Marková-Stupňanová, Andrea},
journal = {Kybernetika},
keywords = {$t$-norm; law of large numbers for fuzzy numbers; t-norm; law of large numbers for fuzzy numbers},
language = {eng},
number = {3},
pages = {[379]-388},
publisher = {Institute of Information Theory and Automation AS CR},
title = {$T$-law of large numbers for fuzzy numbers},
url = {http://eudml.org/doc/33490},
volume = {36},
year = {2000},
}

TY - JOUR
AU - Marková-Stupňanová, Andrea
TI - $T$-law of large numbers for fuzzy numbers
JO - Kybernetika
PY - 2000
PB - Institute of Information Theory and Automation AS CR
VL - 36
IS - 3
SP - [379]
EP - 388
AB - The notions of a $t$-norm and of a fuzzy number are recalled. The law of large numbers for fuzzy numbers is defined. The fuzzy numbers, for which the law of large numbers holds, are investigated. The case when the law of large numbers is violated is studied.
LA - eng
KW - $t$-norm; law of large numbers for fuzzy numbers; t-norm; law of large numbers for fuzzy numbers
UR - http://eudml.org/doc/33490
ER -

References

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  1. Baets B. de, Stupňanová A. Marková –, 10.1016/S0165-0114(97)00141-3, Fuzzy Sets and Systems 91 (1997), 203–213 (1997) MR1480046DOI10.1016/S0165-0114(97)00141-3
  2. Fullér R., 10.1016/0165-0114(92)90147-V, Fuzzy Sets and Systems 45 (1992), 299–303 (1992) Zbl0748.60003MR1154193DOI10.1016/0165-0114(92)90147-V
  3. Hong D. H., A note on the law of large numbers for fuzzy numbers, Fuzzy Sets and Systems 68 (1994), 243 (1994) Zbl0848.60005MR1321502
  4. Hong D. H., 10.1016/0020-0255(95)00160-3, Inform. Sci. 88 (1996), 169–175 (1996) MR1375365DOI10.1016/0020-0255(95)00160-3
  5. Kolesárová A., Triangular norm–based addition of linear fuzzy numbers, Tatra Mountains Math. Publ. 6 (1995), 75–81 (1995) Zbl0851.04005MR1363985
  6. Kolesárová A., Triangular norm–based addition preserving the linearity of T -sums of linear fuzzy intervals, Mathware and Soft Computing 5 (1998), 91–98 (1998) MR1632755
  7. Marková A., 10.1016/0165-0114(95)00370-3, Fuzzy Sets and Systems 85 (1997), 379–384 (1997) Zbl0904.04007MR1428314DOI10.1016/0165-0114(95)00370-3
  8. Stupňanová A. Marková –, The law of large numbers, Busefal 75 (1998), 53–59 (1998) 
  9. Stupňanová A. Marková –, A note on recent results on the law of large numbers for fuzzy numbers, Busefal 76 (1998), 12–18 (1998) 
  10. Mesiar R., 10.1016/0165-0114(95)00178-6, Fuzzy Sets and Systems 79 (1996), 259–261 (1996) Zbl0871.04010MR1388398DOI10.1016/0165-0114(95)00178-6
  11. Mesiar R., 10.1016/0165-0114(95)00401-7, Fuzzy Sets and Systems 86 (1996), 73–78 (1996) MR1438439DOI10.1016/0165-0114(95)00401-7
  12. Mesiar R., 10.1016/S0165-0114(97)00143-7, Fuzzy Sets and Systems 91 (1996), 231–237 (1996) MR1480048DOI10.1016/S0165-0114(97)00143-7

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