Any F-transform is defined by a powerset theory

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F19%3AA2001U0Y" target="_blank" >RIV/61988987:17610/19:A2001U0Y - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/978-3-030-12544-8_5" target="_blank" >http://dx.doi.org/10.1007/978-3-030-12544-8_5</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-030-12544-8_5" target="_blank" >10.1007/978-3-030-12544-8_5</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Any F-transform is defined by a powerset theory

Popis výsledku v původním jazyce

A relationship between powerset theories and F-transforms are investigated. Both these methods represent very strong tools in thetheory and applications. Although both methods deal also with fuzzy object, both these methods use different tools and, so far, the relationship between the two methods has not been investigated. The aim of thispaper is to show that there is a very strong relationship between the two methods. Namely, arbitrary lower or upper F-transform of lattice-valued fuzzy sets can be derived from a special powerset theory and, conversely,there exists a special class of powerset theories, such that maps definedby these powerset theories are lower or upper F-transforms. This result allows, among other things, to extend the range of methods and tools that are used in both theories.

Název v anglickém jazyce

Any F-transform is defined by a powerset theory

Popis výsledku anglicky

A relationship between powerset theories and F-transforms are investigated. Both these methods represent very strong tools in thetheory and applications. Although both methods deal also with fuzzy object, both these methods use different tools and, so far, the relationship between the two methods has not been investigated. The aim of thispaper is to show that there is a very strong relationship between the two methods. Namely, arbitrary lower or upper F-transform of lattice-valued fuzzy sets can be derived from a special powerset theory and, conversely,there exists a special class of powerset theories, such that maps definedby these powerset theories are lower or upper F-transforms. This result allows, among other things, to extend the range of methods and tools that are used in both theories.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA18-06915S" target="_blank" >GA18-06915S: Nové přístupy k agregačním operátorům v analýze a zpracování dat</a><br>

Návaznosti

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

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název statě ve sborníku

Fuzzy Logic and Applications, 12th International Workshop, WILF 2018 Genoa, Italy, September 6-7, 2018

ISBN

978-3-030-12543-1

ISSN

0302-9743

e-ISSN

1611-3349

Počet stran výsledku

12

Strana od-do

55-66

Název nakladatele

Springer Nature Switzerland

Místo vydání

—

Místo konání akce

Genoa

Datum konání akce

6. 9. 2018

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

—