Convexity and level sets for interval-valued fuzzy sets

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Convexity and level sets for interval-valued fuzzy sets
Original language description
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.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)