A Novel Study Based on Fuzzy p-Ideals of BCI-Algebras
In this paper, we propose the concept of ∈,∈∨j∗,qj-fuzzy p-ideals in “BCI-algebras.” We show that “∈,∈∨q-fuzzy p-ideals” and “∈∨j∗,qj,∈∨j∗,qj-fuzzy p-ideals” are “∈,∈∨j∗,qj-fuzzy p-ideals.” However, the converse is not true, then presented examples. For a BCI-algebra Y^, it has been shown that every...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2023/9453596 |
| Summary: | In this paper, we propose the concept of ∈,∈∨j∗,qj-fuzzy p-ideals in “BCI-algebras.” We show that “∈,∈∨q-fuzzy p-ideals” and “∈∨j∗,qj,∈∨j∗,qj-fuzzy p-ideals” are “∈,∈∨j∗,qj-fuzzy p-ideals.” However, the converse is not true, then presented examples. For a BCI-algebra Y^, it has been shown that every ∈,∈∨j∗,qj-fuzzy p-ideal of Y^ is an ∈,∈∨j∗,qj-fuzzy ideals of Y^but not conversely, and then, an example is given. Furthermore in Y^, a connection between ∈,∈∨j∗,qj-fuzzy p-ideals and p-ideals is established. |
|---|---|
| ISSN: | 2314-8888 |