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Keywords = neutrosophic extended triplet LA-hypergroup

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22 pages, 1911 KiB  
Article
On Neutrosophic Extended Triplet LA-hypergroups and Strong Pure LA-semihypergroups
by Minghao Hu, Florentin Smarandache and Xiaohong Zhang
Symmetry 2020, 12(1), 163; https://doi.org/10.3390/sym12010163 - 14 Jan 2020
Cited by 5 | Viewed by 2412
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 [...] Read more.
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. Full article
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