Object structure
Title:

Recent advances in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume I: foundations * Uncertainty of probability

Subtitle:

Książka = Book ; KS/9/2011/T1P14

Creator:

Piegat, Andrzej

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2011

Description:

[1-4], 159-173 stron ; 21 cm ; Bibliografia s. 173

Type of object:

Książka/Rozdział

Abstract:

Human intelligence is able to solve problems with high amount of uncertainty. Also artificial intelligence tries to solve similar problems. Towards realizing this aim it uses probability theory (PrTh), fuzzy set theory, possibility theory, Dempster-Shafer theory, info-gap theory, etc. PrTh as the oldest one (XVII century) seems to be a ripe and well grounded scientific method. However, according to many opinions, it is not true. In this paper the author shows that the basic and commonly used formula for calculation probability of an event A, p(A) = nA/n, is both qualitatively and quantitatively rather incorrect. This formula was suggested by the frequency interpretation of probability. Furthermore, the author presents the evidential completeness interpretation of probability that seems better suited to describe uncertainty. This interpretation explains why in most cases probability cannot be determined precisely and that only an uncertainty interval of probability can be found.

Relation:

Książka = Book

Resource type:

Tekst

Detailed Resource Type:

Książka

Source:

KS-2011-09-T1P14

Language:

eng

Language of abstract:

eng

Rights:

Licencja Creative Commons Uznanie autorstwa 4.0

Terms of use:

Zasób chroniony prawem autorskim. [CC BY 4.0 Międzynarodowe] Korzystanie dozwolone zgodnie z licencją Creative Commons Uznanie autorstwa 4.0, której pełne postanowienia dostępne są pod adresem: ; -

Digitizing institution:

Instytut Badań Systemowych Polskiej Akademii Nauk

Original in:

Biblioteka Instytutu Badań Systemowych PAN

Projects co-financed by:

Program Operacyjny Polska Cyfrowa, lata 2014-2020, Działanie 2.3 : Cyfrowa dostępność i użyteczność sektora publicznego; środki z Europejskiego Funduszu Rozwoju Regionalnego oraz współfinansowania krajowego z budżetu państwa

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