Picture anti-fuzzy interior ideals of semi-groups

نویسندگان

1 Department of Mathematics, Ganesh Dutt College, Begusarai, India.

2 Department of Mathematics, Lalit Narayan Mithila University, Darbhanga, India.

doi
10.22105/jfea.2025.472221.1583
چکیده

Notions of Picture fuzzy sets (PFSs) offers significant benefits when it comes to handling vagueness and complexity. Moreover, fuzzy data play a crucial role in capturing uncertain nature of subjective decisions, allowing for adaptable evaluation of fuzziness and imprecision. Aims of this study to present Picture anti-fuzzy subsemigroup, picture anti-fuzzy interior ideal, and picture anti-fuzzy ideal. We established three picture fuzzy sets based on negation and explored various characteristics associated with picture anti-fuzzy interior ideals. Significant findings regarding collections of picture anti-fuzzy interior ideals have been explored. In this discussion, we introduced idea of level of PFSs and demonstrate that level set of picture anti-fuzzy interior ideals qualifies as picture anti-fuzzy interior ideals as well.