A comparative analysis of hypergroupoids derived from metric spaces

This study investigates the correlation between various hypergroupoids and a specified metric space, examining the distinctive characteristics of this hyperstructure. Through rigorous analysis, our inquiry establishes the potential of these hypergroupoids to function as commutative quasihypergroups. Additionally, we delineate specific conditions under which these hypergroupoids exhibit hypergroup properties, shedding light on the complex interplay of these mathematical structures within the context of the given metric space. Finally, a metric space obtained from a given hypergroupoid is introduced.

کلیدواژه ها:

metric space ، hypergroupoid ، Hypergroup ، H_v-group