A note on simplification of z-ordinal sum construction

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F22%3AA2302GMF" target="_blank" >RIV/61988987:17610/22:A2302GMF - isvavai.cz</a>

Result on the web

<a href="https://www.sciencedirect.com/science/article/abs/pii/S0165011422002032?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/abs/pii/S0165011422002032?via%3Dihub</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.fss.2022.05.011" target="_blank" >10.1016/j.fss.2022.05.011</a>

Result language

angličtina

Original language name

A note on simplification of z-ordinal sum construction

Original language description

We study the properties of z-ordinal sum construction and show that it can always be expressed in the reduced basic form. This means that it is enough to assume only trivial semigroups in the branching set and we can always remove semigroups with duplicate carriers. We also investigate the cardinality of the minimal branching set corresponding to monotone (and non-monotone) functions defined on the unit interval constructed via z-ordinal sum construction.

Czech name

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Czech description

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Type

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

CEP classification

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OECD FORD branch

10102 - Applied mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2022

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

—

Volume of the periodical

—

Issue of the periodical within the volume

DEC 28 2022

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

13

Pages from-to

3-15

UT code for WoS article

000897578400002

EID of the result in the Scopus database

2-s2.0-85130797731