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ŁUKASIEWICZ FUZZY SUB-HOOPSopen access

Authors
Kologani, Mona AalyRezaei, Gholam RezaJun, Young BaeBorzooei, Rajab Ali
Issue Date
Dec-2024
Publisher
Miskolc University Press
Keywords
03G25; 06F35; 08A72; O-set; q-set; Łukasiewicz fuzzy set; Łukasiewicz fuzzy sub-hoop; €-set
Citation
Miskolc Mathematical Notes, v.26, no.1, pp 101 - 114
Pages
14
Indexed
SCIE
SCOPUS
Journal Title
Miskolc Mathematical Notes
Volume
26
Number
1
Start Page
101
End Page
114
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/79519
DOI
10.18514/MMN.2025.4442
ISSN
1787-2405
1787-2413
Abstract
With the purpose of applying the Łukasiewicz fuzzy set to sub-hoop in hoops, the concept of Łukasiewicz fuzzy sub-hoop is introduced, and its properties are investigated. The relationship between fuzzy sub-hoop and Łukasiewicz fuzzy sub-hoop are discussed. Conditions for Łukasiewicz fuzzy set to be a Łukasiewicz fuzzy sub-hoop are provided, and characterizations of Łukasiewicz fuzzy sub-hoop are displayed. Conditions under which €-set, q-set, and O-set can be sub-hoops are investigated. © 2025 The Author(s). Published by Miskolc University Press. This is an open access article under the license CC BY 4.0.
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