Extension principles for closure operators on fuzzy sets and cuts

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F16%3AA17019QE" target="_blank" >RIV/61988987:17610/16:A17019QE - 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

Extension principles for closure operators on fuzzy sets and cuts

Original language description

Let W be an universe with a pre-order relation. We investigated closure operators on various universes W, including set Z(A) of all Q-valued fuzzy sets and a set D(A) of all cuts in a set A, setF(A) of all fuzzy sets and a set C(A) of f-cuts in a Q-set A, where Q is a complete residuated lattice. We proved several extensiontheorems, under which a closure operator defined on one universe can be extended to a closure operator defined on another universe. We also investigated relationships between continuity of pairs of maps f; g withrespect to closure operators, where f is a map between universes of onetype and g is a map between universes of another type.

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

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2016

Confidentiality

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

Name of the periodical

FUZZY SET SYST

ISSN

0165-0114

e-ISSN

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Volume of the periodical

294

Issue of the periodical within the volume

June

Country of publishing house

DE - GERMANY

Number of pages

14

Pages from-to

79-92

UT code for WoS article

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EID of the result in the Scopus database

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