ŁUKASIEWICZ FUZZY FILTERS IN HOOPS

نویسندگان
Aaly Kologani, Mona ID 1
Jun, Young Bae ID 2
Borzooei, Rajab Ali ID 3
Mohseni Takallo, Mohammad ID 4

1 Hatef Higher Education Institute, Zahedan, Iran.

2 Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea.

3 Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran.

4 Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran.

doi
10.22044/jas.2022.12139.1632
چکیده

By applying the concept of the Lukasiewicz fuzzy set to the filter in hoops, the Lukasiewicz fuzzy filter is introduced and its properties are investigated.The relationship between fuzzy filter and Lukasiewicz fuzzy filter is discussed.Conditions for the Lukasiewicz fuzzy set to be a Lukasiewicz fuzzy filter are provided, andcharacterizations of Lukasiewicz fuzzy filter are displayed.The conditions under which the three subsets, $\in$-set, q-set, and O-set, will be filter are explored.

کلیدواژه‌ها
Lukasiewicz fuzzy set, Lukasiewicz fuzzy filter, $\in$-set, q-set, O-set