Abstract
Ideals in BCK/BCI algebra based on Y ϵ J -fuzzy sets are studied. The fundamental properties of the level set of Y ϵ J -fuzzy sets are investigate first. The concept of (closed) Y ϵ J -fuzzy ideals in BCK/BCI-algebras is introduces, and several properties are investigated. The relationship between Y ϵ J -fuzzy ideal and Y ϵ J -fuzzy subalgebra are discussed, and also the relationship between Y ϵ J -fuzzy ideal and fuzzy ideal is identified. The characterization of (closed) Y ϵ J -fuzzy ideal using the Y-level set is established. The necessary and sufficient conditions for Y ϵ J -fuzzy ideal to be closed is explored, and conditions for Y ϵ J -fuzzy subalgebra to be Y ϵ J -fuzzy ideal are provided.
| Original language | English |
|---|---|
| Pages (from-to) | 2009-2024 |
| Number of pages | 16 |
| Journal | European Journal of Pure and Applied Mathematics |
| Volume | 16 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2023.10 |
Keywords
- (closed) Y ϵ J -fuzzy ideal
- ideal
- J-operator
- nonconstant factor
- subalgebra
- Y ϵ J -fuzzy subalgebra
Quacquarelli Symonds(QS) Subject Topics
- Computer Science & Information Systems
- Mathematics
- Statistics & Operational Research
- Data Science
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