<abstract xmlns="http://www.w3.org/1999/xhtml"><p> A review of main methods of the probability theory on IF-events is presented in the case that the used connectives are Lukasiewicz <disp-formula><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="../graphic/v10127-010-0027-4#0005_graphic1.png"></inline-graphic></disp-formula>, (<italic>f, g</italic> are functions, <italic>f, g</italic> : Ω → 〈0, 1〉). Representation theorem for probabilities on IF-events is given. For sequences of independent observables the central limit theorem is presented as well as basic results about conditional expectation. Finally the Lukasiewicz probability theory to the MV-algebra probability theory is embedded.</p></abstract>

A review of main methods of the probability theory on IF-events is presented in the case that the used connectives are Lukasiewicz , (f, g are functions, f, g : Ω → 〈0, 1〉). Representation theorem for probabilities on IF-events is given. For sequences of independent observables the central limit theorem is presented as well as basic results about conditional expectation. Finally the Lukasiewicz probability theory to the MV-algebra probability theory is embedded.

On the Lukasiewicz probability theory on IF-sets

Department of Mathematics Faculty of Natural Sciences Matej Bel University Tajovsk´eho 40, 974 01 Bansk´a Bystrica SLOVAKIA

Department of Medical Informatics Faculty of Medicine University of Pavol Jozef ˇSaf´arik Trieda SNP 1 040 11 Koˇsice SLOVAKIA

Tatra Mountains Mathematical Publications

{"article-title":"On the Lukasiewicz probability theory on IF-sets"}

A review of main methods of the probability theory on IF-events is presented in the case that the used connectives are Lukasiewicz , (f, g are functions, f, g...

On the Lukasiewicz probability theory on IF-sets

Published Online: Nov 13, 2012

Page range: 125 - 146

DOI: https://doi.org/10.2478/v10127-010-0027-4

Keywords
probability, IF-set, limit theorems.

This content is open access.

On the Lukasiewicz probability theory on IF-sets

Published Online: Nov 13, 2012

Page range: 125 - 146

DOI: https://doi.org/10.2478/v10127-010-0027-4

Keywordsprobability, IF-set, limit theorems.

This content is open access.

Keywords
probability, IF-set, limit theorems.