On Fuzzy Preordered Structures and (Fuzzy) Hyperstructures

被引：6
|
作者：
Cristea, Irina [1 ,2 ]
Jafarpour, Morteza [3 ]
Mousavi, Seyed Sh. [4 ]
机构：
[1] Univ Nova Gorica, Sch Appl Sci, Nova Gorica 5000, Slovenia
[2] Univ Udine, Dept Civil Engn & Architecture, I-33100 Udine, Italy
[3] Vali e Asr Univ Rafsanjan, Dept Math, Rafsanjan 7718685753, Iran
[4] Shahid Bahonar Univ Kerman, Dept Math, Kerman 7619674419, Iran
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2012年 / 28卷 / 09期
关键词：
Fuzzy preordered semig-roup; hypergroup; fuzzy hyperring; mutually associativity; GRADE; VIEW;
D O I：
10.1007/s10114-012-0314-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：1787 / 1798
页数：12
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