|
|||||
|
|
On probabilistic n-ary hypergroups |
|
| Authors: | Jianming Zhan Bijan Davvaz |
| Affiliation: | a Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province 445000, PR China b Department of Mathematics, Yazd University, Yazd, Iran c Department of Mathematics, THe University of Hong Kong, Pofulam Road, Hong Kong(SAR), PR China |
| Abstract: | 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. |
| Keywords: | n-Ary hypergroup T-fuzzy n-ary subhypergroup Fundamental equivalence relation T-fuzzy n-ary subgroup Probabilistic n-ary hypergroup Probability space Random sets |
| 本文献已被 ScienceDirect 等数据库收录！ | |