Fuzzy objects in spaces with fuzzy partitions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F16%3AA1801H32" target="_blank" >RIV/61988987:17610/16:A1801H32 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s00500-016-2431-4" target="_blank" >http://dx.doi.org/10.1007/s00500-016-2431-4</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00500-016-2431-4" target="_blank" >10.1007/s00500-016-2431-4</a>

Result language

angličtina

Original language name

Fuzzy objects in spaces with fuzzy partitions

Original language description

A theory of fuzzy objects is derived in the category SpaceFP of spaceswith fuzzy partitions, which generalize classical fuzzy sets and extensionalmaps in sets with similarity relations. It is proved that fuzzy objects inSpaceFP can be characterized by some morphisms in the category of setswith similarity relations. A powerset object functor F in the categorySpaceFP is introduced and it is proved that F defines a CSLAT-powerset theory in the sense of Rodabaugh.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>

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

Soft Computing

ISSN

1433-7479

e-ISSN

—

Volume of the periodical

21

Issue of the periodical within the volume

24

Country of publishing house

DE - GERMANY

Number of pages

16

Pages from-to

7269-7284

UT code for WoS article

000414961100002

EID of the result in the Scopus database

2-s2.0-84995489584