Cut Systems in Omega-sets and Reflections
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F12%3AA13014WP" target="_blank" >RIV/61988987:17610/12:A13014WP - isvavai.cz</a>
Result on the web
—
DOI - Digital Object Identifier
—
Alternative languages
Result language
angličtina
Original language name
Cut Systems in Omega-sets and Reflections
Original language description
Let $Omega$ be a complete residuated lattice. Let $Setr$ be the category of sets with similarity relations with values in $Omega$ (called $Omega$-sets), which is an analogy of the category of classical sets with relations as morphisms. A cut system in an $Omega$-set $(A,delta)$ in the category $Setr$ is a system $(C_{alpha})_{alphainOmega}$, where $C_{alpha}$ are subsets in $AtimesOmega$ with some special properties. It is well known that in the category $Setr$, there is a close relationbetween cut systems in an $Omega$-set on one hand and fuzzy sets in the same $Omega$-set, on the other hand. Moreover, there exists an extension procedure such that any system $(C_{alpha})_{alpha}$ of subsets from $AtimesOmega$ can be extended ontoa cut system $(overline{C_{alpha}})_{alpha}$. In the paper we prove that the extension procedure is, in some sense, the best possible.
Czech name
—
Czech description
—
Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
—
Result continuities
Project
<a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Uncertainty Modeling in Knowledge Engineering and Decision Making
ISBN
978-981-4417-73-0
ISSN
—
e-ISSN
—
Number of pages
6
Pages from-to
586-591
Publisher name
World Scientific
Place of publication
New Jersey-London-Singapore-Beijing
Event location
Istanbul
Event date
Aug 27, 2012
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
—