Publication result detail

Modelling of Fuzzy Probability Distribution

KARPÍŠEK, Z.

Original Title

Modelling of Fuzzy Probability Distribution

English Title

Modelling of Fuzzy Probability Distribution

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 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.

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

fuzzy probability, fuzzy probability distribution, fuzzy random variable

Key words in English

fuzzy probability, fuzzy probability distribution, fuzzy random variable

Authors

KARPÍŠEK, Z.

RIV year

2011

Released

01.01.2002

Publisher

Přírodovědecká fakulta, Masarykova univerzita Brno

Location

Brno

ISBN

80-210-3028-3

Book

Summer School DATASTAT 01 Proceedings, Acta Folia Fac. Sci. Nat. Univ. Masarykianae Brunensis

Edition

Mathematica 11

Pages from

91

Pages to

103

Pages count

14

BibTex

@inproceedings{BUT9939,
  author="Zdeněk {Karpíšek}",
  title="Modelling of Fuzzy Probability Distribution",
  booktitle="Summer School DATASTAT 01 Proceedings, Acta Folia Fac. Sci. Nat. Univ. Masarykianae Brunensis",
  year="2002",
  series="Mathematica 11",
  number="1",
  pages="91--103",
  publisher="Přírodovědecká fakulta, Masarykova univerzita Brno",
  address="Brno",
  isbn="80-210-3028-3"
}