Closure theories of powerset theories

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F15%3AA1601F4H" target="_blank" >RIV/61988987:17610/15:A1601F4H - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Closure theories of powerset theories

Original language description

A notion of a closure theory of a powerset theory in a ground category is introduced as a generalization of a topology theory of a powerset the- ory. Using examples of powerset theories in the category Set of sets and in the category of sets with similarity relations, it is proved that these theories can be used as ground theories for closure theories of powerset theories in these two categories. Moreover, it is proved that all these clo- sure theories of powerset theories are topological constructs. Anotion of a closure operator which preserves a canonical form of fuzzy objects in these categories is introduced, and it is proved that a closure theory of a powerset theory in the ground category Set is a core ective subcategory of the closure theory of(Zadeh's) powerset theory, which preserves canonical forms of fuzzy sets.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

O - Projekt operacniho programu

Publication year

2015

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Tatra Mountains Mathematical Publications

ISSN

1210-3195

e-ISSN

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Volume of the periodical

64

Issue of the periodical within the volume

1

Country of publishing house

SK - SLOVAKIA

Number of pages

25

Pages from-to

101-126

UT code for WoS article

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EID of the result in the Scopus database

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