Publication detail

The Weibull Fuzzy Distributions

KARPÍŠEK, Z. JELÍNEK, P.

Czech title

Fuzzy Weibullovo rozdělení pravděpodobnosti

English title

The Weibull Fuzzy Distributions

Type

conference paper

Language

en

Original abstract

Using fuzzy probability and its properties, the paper defines fuzzy probability distributions and their basic characteristics for vague random variables. Two models of the Weibull fuzzy probability distributions and their properties are described as based on the fuzzy bunch function or the fuzzy function with fuzzy parameters. All the notions are defined using the Zadeh extension principle. The results can be used to determine the reliability characteristics of real objects or systems in cases where the observed random data are of a vague numerical type.

Czech abstract

S využitím fuzzy pravděpodobnost a jejích vlastností je v článku definováno Weibullovo rozdělení fuzzy pravděpodobnosti a jeho základní charakteristiky pro vágní náhodné veličiny. Jsou popsány dva modely rozdělení fuzzy pravděpodobnosti založené na fuzzy svazku a fuzzy funkci s fuzzy parametry. Všechny pojmy jsou definovány s využitím Zadehova principu rozšíření. Výsledky mohou být využity při určování spolehlivostních charakteristik reálných objektů, jestliže pozorovaná náhodná data jsou vágního numerického typu.

English abstract

Using fuzzy probability and its properties, the paper defines fuzzy probability distributions and their basic characteristics for vague random variables. Two models of the Weibull fuzzy probability distributions and their properties are described as based on the fuzzy bunch function or the fuzzy function with fuzzy parameters. All the notions are defined using the Zadeh extension principle. The results can be used to determine the reliability characteristics of real objects or systems in cases where the observed random data are of a vague numerical type.

Keywords in English

fuzzy probability, fuzzy probability distribution, fuzzy random variable, Weibull fuzzy distribution

RIV year

2002

Released

01.01.2002

Publisher

Brno University of Technology, Faculty of Mechanical Enrineering

Location

Brno

ISBN

80-214-2135-5

Book

Mendel 2002, 8th International Conference on Soft Computing

Pages count

7

BIBTEX


@inproceedings{BUT7135,
  author="Zdeněk {Karpíšek} and Pavel {Jelínek},
  title="The Weibull Fuzzy Distributions",
  booktitle="Mendel 2002, 8th International Conference on Soft Computing",
  year="2002",
  month="January",
  publisher="Brno University of Technology, Faculty of Mechanical Enrineering",
  address="Brno",
  isbn="80-214-2135-5"
}