Abstract
First, we generalize concepts of left hyperfilters, right hyperfilters and hyperfilters of an ordered semihypergroup by introducing concepts of left-mhyperfilters, right-n-hyperfilters and (m, n)-hyperfilters of an ordered semihyper-group. Then, some properties of these generalized hyperfilters have been studied. Finally, left-m-hyperfilters (resp. right-n-hyperfilters, (m, n)-hyperfilters) of (m, 0)-regular (resp. (0, n)-regular, (m, n)-regular) ordered semihypergroups characterize in terms of their completely prime generalized (m,0)-hyperideals (resp. (0, n)-hyperideals, (m, n)-hyperideals).