Publication detail

Class of Fuzzy Numbers for Fuzzy Probability Modeling

KARPÍŠEK, Z.

Czech title

Třída fuzzy čísel pro modelování fuzzy pravděpodobnosti

English title

Class of Fuzzy Numbers for Fuzzy Probability Modeling

Type

conference paper

Language

en

Original abstract

The paper deals with the properties of a special class of fuzzy numbers that are the fuzzy probabilities of independent fuzzy random events. The properties with respect to extended probability operations and their approximations in a given class of these fuzzy numbers are described that are based on preserving the measure of uncertainty. The results can be applied at determining on PC of the fuzzy reliability of systems composed of independent elements in the case where pre-failure times have a vague numerical type.

Czech abstract

Článek se zabývá vlastnostmi speciální třídy fuzzy čísel vyjadřujícími fuzzy pravděpodobnost nezávislých fuzzy náhodných jevů. Jsou popsány jejich vlastnosti vzhledem k rozšířeným operacím a jejich aproximacím.

English abstract

The paper deals with the properties of a special class of fuzzy numbers that are the fuzzy probabilities of independent fuzzy random events. The properties with respect to extended probability operations and their approximations in a given class of these fuzzy numbers are described that are based on preserving the measure of uncertainty. The results can be applied at determining on PC of the fuzzy reliability of systems composed of independent elements in the case where pre-failure times have a vague numerical type.

Keywords in English

power fuzzy number, uncertainty measure, extended complement, extended product, extended probability sum, extended multiple product, extended multiple probability sum

RIV year

2006

Released

06.02.2006

Publisher

STU Bratislava

Location

Bratislava

ISBN

80-967305-7-6

Book

5th International Conference APLIMAT 2006

Edition number

1

Pages from–to

165–179

Pages count

15

BIBTEX


@inproceedings{BUT20248,
  author="Zdeněk {Karpíšek},
  title="Class of Fuzzy Numbers for Fuzzy Probability Modeling",
  booktitle="5th International Conference APLIMAT 2006",
  year="2006",
  month="February",
  pages="165--179",
  publisher="STU Bratislava",
  address="Bratislava",
  isbn="80-967305-7-6"
}