Publication detail

Two Fuzzy Probability Measures

KARPÍŠEK, Z.

Czech title

Dvě fuzzy pravděpodobnostní míry

English title

Two Fuzzy Probability Measures

Type

conference paper

Language

en

Original abstract

The paper deals with two methods of a fuzzification of the Borel field of events and too the probability measure. The first approach generalizes the Zadeh definition of a crisp probability of fuzzy event. The second method is based on the Yager defi-nition of a fuzzy probability of fuzzy event. The theoretical results obtained can be ap-plied to modeling stochastic phenomena with uncertain character.

Czech abstract

Referát se zabývá dvěma způsoby zadání fuzzy pravděpodobnostní míry. První způsob vychází ze Zadehovy koncepce a druhý z Yagerova přístupu. Jsou předloženy základní definice pojmů a popsány jejich vlastnosti.

English abstract

The paper deals with two methods of a fuzzification of the Borel field of events and too the probability measure. The first approach generalizes the Zadeh definition of a crisp probability of fuzzy event. The second method is based on the Yager defi-nition of a fuzzy probability of fuzzy event. The theoretical results obtained can be ap-plied to modeling stochastic phenomena with uncertain character.

Keywords in English

fuzzy event, fuzzy sigma algebra, fuzzy probability measure, independent fuzzy events

RIV year

2004

Released

01.01.2003

Location

Zittau

ISBN

3-9808089-4-7

Book

Third Conference of the European Society for Fuzzy Logic and Technology EUSFLAT 2003

Edition number

1

Pages count

6

BIBTEX


@inproceedings{BUT13744,
  author="Zdeněk {Karpíšek},
  title="Two Fuzzy Probability Measures",
  booktitle="Third Conference of the European Society for Fuzzy Logic and Technology EUSFLAT 2003",
  year="2003",
  month="January",
  address="Zittau",
  isbn="3-9808089-4-7"
}