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Ideals in unital cycloids based on fuzzy pointsIdeals in unital cycloids based on fuzzy points

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Ideals in unital cycloids based on fuzzy points
Authors
Young Bae Jun
Issue Date
Feb-2024
Publisher
(주) 경문사
Keywords
Unital cycloid; $L$-algebra; $KL$-algebra; $CL$-algebra; (fuzzy) ideal; $∈_{t}$-set; $Q_{t}$-set
Citation
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, v.27, no.1, pp 53 - 65
Pages
13
Indexed
KCI
Journal Title
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
Volume
27
Number
1
Start Page
53
End Page
65
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/69765
DOI
10.30948/afmi.2024.27.1.53
ISSN
2093-9310
2287-6235
Abstract
The fuzzy ideal (based on the fuzzy point) in unital cycloids is defined and various related properties are investigated. Characterization of fuzzy ideal is discussed, and conditions under which fuzzy sets can be fuzzy ideals are explored. The relationship between the fuzzy ideal and ($\in,$ $\in\! \vee q)$-fuzzy ideal is established. A set $\tilde{X}$ is constructed, and the conditions under which it is an ideal are explored. Conditions in which the $\in_{t}$-set and $Q_{t}$-set become ideals are provided.
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