Subtitle:

Książka = Book ; KS/6/2013/T1P11

Publisher:

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

Place of publishing:

Warszawa

Description:

[5], 139-165 stron ; 21 cm ; Bibliografia s. 164-165

Type of object:

Książka/Rozdział

Abstract:

Metaset is a new concept of set with partial membership relation. It is directed towards computer implementations and applications. The degrees of membership for metasets are expressed as nodes of the binary tree and they may be evaluated as real numbers too. The forcing mechanism discussed in this paper is used to assign certainty degrees to sentences involving metasets, and to define basic relations like partial membership or partial equality. We thoroughly investigate here the class of metasets with finite deep ranges which are especially suitable for computer representations because of their finite structure. It turns out, that for sentences involving such metasets it is always possible to assign the degrees of certainty that the sentence is either true or false or both at the same time. Moreover, such sentences do not allow for any hesitancy degree what implies no hesitancy in membership and other basic relations. This property does not hold for sentences involving arbitrary metasets, what is illustrated by the examples.

Relation:

Książka = Book

Detailed Resource Type:

Książka

Resource Identifier:

oai:rcin.org.pl:198420

Source:

KS-2013-06-T1P11

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

Access:

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