A Novel Study Based on Fuzzy p-Ideals of BCI-Algebras

Autor: G. Muhiuddin, Nabilah Abughazalah, A. Mahboob, M. E. Elnair, Abdullah G. Alotaibi
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of Function Spaces, Vol 2023 (2023)
Druh dokumentu: article
ISSN: 2314-8888
DOI: 10.1155/2023/9453596
Popis: 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.
Databáze: Directory of Open Access Journals
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