Publication detail

Fuzzy Probability Distribution - Characteristics and Models

KARPÍŠEK, Z.

Czech title

Fuzzy rozdělení pravděpodobnosti - charakteristiky a modely

English title

Fuzzy Probability Distribution - Characteristics and Models

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 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 probability characteristics of real objects in cases where the observed random data are of a vague numerical type.

Czech abstract

V článku jsou definována fuzzy rozdělení pravděpodobnosti vágních náhodných veličin s využitím pojmu fuzzy pravděpodobnosti. Jsou popsány dva modely a jejich vlastosti. Modely jsou založeny na pojmu fuzzy svazku. Pojmy jsou definovány pomocí Zadehova principu rozšíření.

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 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 probability characteristics of real objects in cases where the observed random data are of a vague numerical type.

Keywords in English

fuzzy event, fuzzy probability, fuzzy random variable, fuzzy distribution function, fuzzy density, fuzzy mean, fuzzy probability distribution models

RIV year

2001

Released

01.01.2001

Location

University of Applied Sciences, Zittau/Görlitz

ISBN

3-9808089-0-4

Book

PROCEEDINGS 9th Zittau Fuzzy Colloquium 2001

Edition number

1

Pages count

10

BIBTEX


@inproceedings{BUT3871,
  author="Zdeněk {Karpíšek},
  title="Fuzzy Probability Distribution – Characteristics and Models",
  booktitle="PROCEEDINGS 9th Zittau Fuzzy Colloquium 2001",
  year="2001",
  month="January",
  address="University of Applied Sciences, Zittau/Görlitz",
  isbn="3-9808089-0-4"
}