2013/09/18 by R. Ameri, Ameri, R., R. Sadeghi +1
Decision Sciences · Mathematics · #20N20 #FOS: Mathematics #Fixed Point Theorems Analysis #Fuzzy and Soft Set Theory #General Mathematics (math.GM)
paper · pdf · doi:10.48550/arxiv.1310.0681
openalex publication_date 2013/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduced and study fuzzy gamma-hypersemigroups, according to fuzzy semihyper- groups as previously defined [33] and prove that results in this respect. In this regard first we introduce fuzzy hyperoperation and then study fuzzy gamma-hypersemigroup. We will proceed by study fuzzy gamma-hyperideals and fuzzy gamma-bihyperideals. Also we study the relation between the classes of fuzzy gamma-hypersemigroups and semigroups. Precisely, we associate a gamma-hypersemigroup to every fuzzy hypersemigroup and vice versa. Finally, we introduce and study fuzzy hypersemigroups regular and fuzzy strongly regular relations of fuzzy gamma-hypersemigroups regular and fuzzy strongly regular relations of fuzzy gamma-hypersemigroups.