A Study on Bipolar Complex Fuzzy Hom-semiring

Abstract: In this paper, bipolar complex fuzzy hom-subsemiring are introduced and examined. On this basis, the notions of bipolar complex fuzzy hom- normal subsemiring, bipolar complex fuzzy hom- ideal, bipolar complex fuzzy hom-characteristic subsemiring, bipolar complex fuzzy hom-fully invariant subsemiring,bipolar complex fuzzy hom-weakly normal subsemiring are defined, and also investigated some properties using these definitions. Also,we discusses practical uses of these concepts. We explain how these algebraic ideas can model systems that change over time and involve both positive and negative effects. In particular, the framework is suitable for applications in Artificial Intelligence, such as adaptive models and continual learning systems.

Keywords: Bipolar complex fuzzy hom- normal subsemiring; Bipolar complex fuzzy hom- ideal; Bipolar complex fuzzy hom-characteristic subsemiring; Bipolar complex fuzzy hom-fully invariant subsemiring;Bipolar complex fuzzy hom-weakly normal subsemiring
2020 Mathematics Subject Classification:16Y60;03E72.