ŁUKASIEWICZ FUZZY FILTERS IN HOOPS

Document Type : Original Manuscript

Authors

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

2 Hatef Higher Education Institute, Zahedan, Iran.

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

Abstract

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, and
characterizations 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.

Keywords

References

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Journal of Algebraic Systems
Volume 12, Issue 1
September 2024
Pages 1-20

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