On fuzzy preordered structures and (Fuzzy) hyperstructures

Authors
Cristea, Irina Jafarpour, Morteza Mousavi, Seyed Sh.
Citation
Cristea, Irina et al., On fuzzy preordered structures and (Fuzzy) hyperstructures, Acta mathematica Sinica. English series (Print) , 28(9), 2012, pp. 1787-1798
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
28
Issue
9
Year of publication
2012
Pages
1787 - 1798
Database
ACNP
SICI code
Abstract
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.