Convexity and level sets for interval-valued fuzzy sets

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F22%3A63556100" target="_blank" >RIV/70883521:28140/22:63556100 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s10700-021-09376-7" target="_blank" >https://link.springer.com/article/10.1007/s10700-021-09376-7</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10700-021-09376-7" target="_blank" >10.1007/s10700-021-09376-7</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Convexity and level sets for interval-valued fuzzy sets

Popis výsledku v původním jazyce

Convexity is a deeply studied concept since it is very useful in many fields of mathematics, like optimization. When we deal with imprecision, the convexity is required as well and some important applications can be found fuzzy optimization, in particular convexity of fuzzy sets. In this paper we have extended the notion of convexity for interval-valued fuzzy sets in order to be able to cover some wider area of imprecision. We show some of its interesting properties, and study the preservation under the intersection and the cutworthy property. Finally, we applied convexity to decision-making problems.

Název v anglickém jazyce

Convexity and level sets for interval-valued fuzzy sets

Popis výsledku anglicky

Convexity is a deeply studied concept since it is very useful in many fields of mathematics, like optimization. When we deal with imprecision, the convexity is required as well and some important applications can be found fuzzy optimization, in particular convexity of fuzzy sets. In this paper we have extended the notion of convexity for interval-valued fuzzy sets in order to be able to cover some wider area of imprecision. We show some of its interesting properties, and study the preservation under the intersection and the cutworthy property. Finally, we applied convexity to decision-making problems.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Rok uplatnění

2022

Kód důvěrnosti údajů

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

Název periodika

FUZZY OPTIMIZATION AND DECISION MAKING

ISSN

1568-4539

e-ISSN

1573-2908

Svazek periodika

21

Číslo periodika v rámci svazku

44

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

9

Strana od-do

553-580

Kód UT WoS článku

000740184300001

EID výsledku v databázi Scopus

2-s2.0-85122655073