This paper reveals properties of hesitant fuzzy ideals and congruences in autometrized algebras, suggesting new frameworks.
This paper introduces the study of hesitant fuzzy subalgebras of autometrized algebras, obtains some of their properties, and gives some examples. Next, we introduce the concept of the hesitant fuzzy ideal and examine some of its properties. Finally, we introduce a hesitant fuzzy congruence on autometrized algebras and discuss some of its properties. We also introduce the characteristic equations and level subsets of hesitant fuzzy sets and relations on autometrized algebras.
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Gebrie Yeshiwas Tilahun (2025) studied this question.