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- Title
FUZZY SUB-EQUALITY ALGEBRAS BASED ON FUZZY POINTS.
- Authors
Kologani, Mona Aaly; Takallo, Mohammad Mohseni; Young Bae Jun; Borzooei, Rajab Ali
- Abstract
In 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.
- Subjects
ALGEBRA; IDEALS (Algebra); RELATION algebras; GROUP decision making
- Publication
Bulletin of the Section of Logic, 2024, Vol 53, Issue 2, p195
- ISSN
0138-0680
- Publication type
Article
- DOI
10.18778/0138-0680.2023.31