On Neutrosophic Extended Triplet LA-hypergroups and Strong Pure LA-semihypergroups

Abstract

We introduce the notions of neutrosophic extended triplet LA-semihypergroup, neutrosophic extended triplet LA-hypergroup, which can reflect some symmetry of hyperoperation and discuss the relationships among them and regular LA-semihypergroups, LA-hypergroups, regular LA-hypergroups. In particular, we introduce the notion of strong pure neutrosophic extended triplet LA-semihypergroup, get some special properties of it and prove the construction theorem about it under the condition of asymmetry. The examples in this paper are all from Python programs.

On Cyclic Associative Semihypergroups and Neutrosophic Extended Triplet Cyclic Associative Semihypergroups

“…Hu, F. Smarandache and X.H. Zhang studied the properties and construction methods of an SP-NET-LA-semihypergroup and found that the symmetry of this algebraic structure is not perfect (see [23]). In addition, there are some related studies (see [24][25][26][27][28][29][30][31]).…”