# On the central limit theorem on IFS-events.

Jozefina Petrovicová; Riecan Beloslav

Mathware and Soft Computing (2005)

- Volume: 12, Issue: 1, page 5-14
- ISSN: 1134-5632

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topPetrovicová, Jozefina, and Beloslav, Riecan. "On the central limit theorem on IFS-events.." Mathware and Soft Computing 12.1 (2005): 5-14. <http://eudml.org/doc/40853>.

@article{Petrovicová2005,

abstract = {A probability theory on IFS-events has been constructed in [3], and axiomatically characterized in [4]. Here using a general system of axioms it is shown that any probability on IFS-events can be decomposed onto two probabilities on a Lukasiewicz tribe, hence some known results from [5], [6] can be used also for IFS-sets. As an application of the approach a variant of Central limit theorem is presented.},

author = {Petrovicová, Jozefina, Beloslav, Riecan},

journal = {Mathware and Soft Computing},

keywords = {Teorema central del límite; Conjuntos difusos; Lógica intuicionista},

language = {eng},

number = {1},

pages = {5-14},

title = {On the central limit theorem on IFS-events.},

url = {http://eudml.org/doc/40853},

volume = {12},

year = {2005},

}

TY - JOUR

AU - Petrovicová, Jozefina

AU - Beloslav, Riecan

TI - On the central limit theorem on IFS-events.

JO - Mathware and Soft Computing

PY - 2005

VL - 12

IS - 1

SP - 5

EP - 14

AB - A probability theory on IFS-events has been constructed in [3], and axiomatically characterized in [4]. Here using a general system of axioms it is shown that any probability on IFS-events can be decomposed onto two probabilities on a Lukasiewicz tribe, hence some known results from [5], [6] can be used also for IFS-sets. As an application of the approach a variant of Central limit theorem is presented.

LA - eng

KW - Teorema central del límite; Conjuntos difusos; Lógica intuicionista

UR - http://eudml.org/doc/40853

ER -

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