“…The year 1934 saw the raise of the concept of hyper roups by Marty [12], later it was studied by Corsini [2], Corsini and Leoreanu [3], Davvaz [4], Dresher and Ore [6], Freni [7], Koskas [11], Massouros [13], R. Migliorato [15], Mittas [14], Tallini [17], Vougiouklis [18], and many others. Till now, only a few papers treated the notion of topological hyperstructures, for example see [1,[8][9][10]16]. Heidari et al [8,9] introduced the concepts of topological hypergroups and topological polygroups, respectively.…”