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...

Full description

Saved in:
Bibliographic Details
Published in:Journal of function spaces 2023, Vol.2023, p.1-6
Main Authors: Muhiuddin, G., Abughazalah, Nabilah, Mahboob, A., Elnair, M. E., Alotaibi, Abdullah G.
Format: Article
Language:English
Subjects:
Algebra
Fuzzy sets
Hypotheses
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
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:2314-8896
2314-8888
DOI:10.1155/2023/9453596