Aaly Kologani, MonaMohseni Takallo, MohammadBae Jun, YoungBorzooei, Rajab Ali2025-04-172025-04-172024Kologani, M. A., Takallo, M. M., Jun, Y. B., & Borzooei, R. A. (2023). Fuzzy Sub-Equality Algebras Based on Fuzzy Points. Bulletin of the Section of Logic, 53(2), 195-222.01380680http://dx.doi.org/10.18778/0138-0680.2023.31https://hdl.handle.net/20.500.12713/6284In this paper, by using the notion of fuzzy points and equality algebras, the notions of fuzzy point equality algebra, equality-subalgebra, and ideal were established. Some characterizations of fuzzy subalgebras were provided by using such concepts. We defined the concepts of (∈, ∈) and (∈, ∈ ∨ q)-fuzzy ideals of equality algebras, discussed some properties, and found some equivalent definitions of them. In addition, we investigated the relation between different kinds of (α, β)-fuzzy subalgebras and (α, β)-fuzzy ideals on equality algebras. Also, by using the notion of (∈, ∈)-fuzzy ideal, we defined two equivalence relations on equality algebras and we introduced an order on classes of X, and we proved that the set of all classes of X by these order is a poset. © Copyright by Author(s), Lódź 2023 © Copyright for this edition by the University of Lodz, Lódź 2023.eninfo:eu-repo/semantics/closedAccessEquality AlgebraFuzzy İdealFuzzy PointFuzzy SetSub-equality AlgebrasArticle5321952222-s2.0-8519686242210.18778/0138-0680.2023.31Q2