Fuzzy sets and cut systems in a category of sets with similarity relations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F12%3AA12011TR" target="_blank" >RIV/61988987:17610/12:A12011TR - 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

Fuzzy sets and cut systems in a category of sets with similarity relations

Original language description

Let $Omega$ be a complete residuated lattice. Let SetR($Omega$) 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 fuzzyset in an $Omega$-set in the category SetR($Omega$) is a morphism from $Omega$-set to a special $Omega$-set (Omega,$delta$), where $delta$ is the biresiduation operation in $Omega$. In the paper, we prove that fuzzy sets in $Omega$-sets in thecategory SetR($Omega$) can be expressed equivalently as special cut systems.

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

<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)

Publication year

2012

Confidentiality

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

Name of the periodical

SOFT COMPUT

ISSN

1432-7643

e-ISSN

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Volume of the periodical

16

Issue of the periodical within the volume

1

Country of publishing house

DE - GERMANY

Number of pages

7

Pages from-to

101-107

UT code for WoS article

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EID of the result in the Scopus database

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