ŁUKASIEWICZ FUZZY SUB-HOOPS

초록

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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