2016/06/01 by Niovi Kehayopulu, Kehayopulu, Niovi
Biochemistry, Genetics and Molecular Biology · Decision Sciences · #08A72 #20M99 #20N99 #FOS: Mathematics #Fuzzy and Soft Set Theory #General Mathematics (math.GM) #Peroxisome Proliferator-Activated Receptors
paper · pdf · doi:10.48550/arxiv.1606.00428
openalex publication_date 2016/06/01 · openalex created_date 2022/08/30 · openalex updated_date 2026/07/28
We introduce the concepts of fuzzy right and fuzzy left ideals of\nhypergroupoids and the concept of a fuzzy bi-ideal of an hypersemigroup and we\nshow that a fuzzy subset f of an hypergroupoid H is a fuzzy right (resp.\nfuzzy left) ideal of H if and only if f\∘ 1 preceq f (resp. 1\∘\nf preceq f) and for an hypersemigroup H, a fuzzy subset f of H is a\nbi-ideal of H if and only if f\∘ 1\∘ f preceq f. These\ncharacterizations are very useful for the investigation. The paper serves as an\nexample to show the way we pass from fuzzy groupoids (semigroups) to fuzzy\nhypergroupoids (hypersemigroups).\n