On Fuzzy Preordered Structures and (Fuzzy) Hyperstructures

作     者：Irina CRISTEA Morteza JAFARPOUR Seyed Sh. MOUSAVI Irina CRISTEA;Morteza JAFARPOUR;Seyed Sh. MOUSAVI

作者机构：School of Applied Sciences University of Nova Gorica Department of Civil Engineering and Architecture University of Udine Mathematics Department Vali-e-Asr University of Rafsanjan Mathematics Department Shahid Bahonar University of Kerman 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2012年第28卷第9期

页      面：1787-1798页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Fuzzy preordered semigroup hypergroup fuzzy hyperring mutually associativity 

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.