On Fuzzy Preordered Structures and (Fuzzy) Hyperstructures  

作　　者：Irina CRISTEA Morteza JAFARPOUR Seyed Sh. MOUSAVI 

机构地区：[1]School of Applied Sciences, University of Nova Gorica [2]Department of Civil Engineering and Architecture, University of Udine [3]Mathematics Department, Vali-e-Asr University of Rafsanjan [4]Mathematics Department, Shahid Bahonar University of Kerman

出　　处：《Acta Mathematica Sinica,English Series》2012年第9期1787-1798,共12页数学学报（英文版）

摘　　要：This article presents a connection between fuzzy preordered structures and hyperstructures. Firstly, we introduce the notion of fuzzy preordered semigroup and then, we construct a semihypergroup associated with it, giving some properties of the associated hyperstructure. Secondly, we define the notion of fuzzy preordered ring in order to construct a fuzzy hyperring.This article presents a connection between fuzzy preordered structures and hyperstructures. Firstly, we introduce the notion of fuzzy preordered semigroup and then, we construct a semihypergroup associated with it, giving some properties of the associated hyperstructure. Secondly, we define the notion of fuzzy preordered ring in order to construct a fuzzy hyperring.

关 键 词：Fuzzy preordered semigroup HYPERGROUP fuzzy hyperring mutually associativity 

分 类 号：O159[理学—数学]