On probabilistic n-ary hypergroups
The T-fuzzy n-ary subhypergroups of an n-ary hypergroup are defined by using triangular norms and some related properties are hence obtained. In particular, we consider the probabilistic version of n-ary hypergroups by using random sets and show that the fuzzy n-ary hypergroups defined by triangular norms are consequences of some probabilistic n-ary hypergroups under certain conditions. Some results on n-ary hypergroups recently given by Davvaz and Corsini are extended.
probabilistic n-ary hypergroup n-ary hypergroup t-fuzzy n-ary subhypergroup random sets fundamental equivalence relation t-fuzzy n-ary subgroup probability space