New Investigations On Hx-Groups And Soft Groups

The paper presents new results obtained on HX-groups introduced by Hongxing in [7] and then investigated by Corsini in his study on HX-hypergroups see [1]. We also present the results obtained by Corsini on the relationship between HX-groups and Soft groups. On the other hand we present some new results on these types of groups and define a new objects which we call Soft HX-groups. We give many examples to illustrate the notions introduced and explain their usefulness. To conclude we present some topics about the soft HX-groups that can be investigated.