MMN-4442
Łukasiewicz fuzzy sub-hoops
Mona Aaly Kologani; Gholam Reza Rezaei; Young Bae Jun; Rajab Ali Borzooei;Abstract
With the purpose of applying the Lukasiewicz fuzzy set to sub-hoop in hoops,
the concept of Lukasiewicz fuzzy sub-hoop is introduced, and its properties are investigated.
The relationship between fuzzy sub-hoop and Lukasiewicz fuzzy sub-hoop are discussed.
Conditions for Lukasiewicz fuzzy set to be a Lukasiewicz fuzzy sub-hoop are provided, and
characterizations of Lukasiewicz fuzzy sub-hoop are displayed.
Conditions under which $\in$-set, q-set, and O-set can be sub-hoops are investigated.
Vol. 26 (2025), No. 1, pp. 101-114