The Lattice of Subhypergroups of a Hypergroup

Tarnauceanu [On the poset of subhypergroups of a hypergroup, Int. J. Open Problems Comp. Math. 3(2) (2010) 505-508]gave some open problems concerning to the set of subhypergroups of a hypergroup, partially ordered by set inclusion. In thisstudy, we obtain that some certain subposets of subhypergroups of a hypergroup are modular or distributive lattice