Publication result detail

The Weibull Fuzzy Distributions

KARPÍŠEK, Z.; JELÍNEK, P.

Original Title

The Weibull Fuzzy Distributions

English Title

The Weibull Fuzzy Distributions

Type

Paper in proceedings (conference paper)

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.

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.

Key words in English

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

Authors

KARPÍŠEK, Z.; JELÍNEK, P.

RIV year

2011

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 from

274

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",
  pages="7",
  publisher="Brno University of Technology, Faculty of Mechanical Enrineering",
  address="Brno",
  isbn="80-214-2135-5"
}