Soft Computing

, Volume 21, Issue 19, pp 5841–5850 | Cite as

EL-hyperstructures associated to n-ary relations

  • S. H. Ghazavi
  • S. M. Anvariyeh
Methodologies and Application


This contribution deals with n-ary relations and hyperstructure theory. There exists a way of creating semihypergroups and hypergroups from (partially) quasi-ordered (semi)groups known as Ends lemma construction. In this paper, we use this method to introduce a new class of (semi)hypergroup from a given (semi)group endowed with a preordering n-ary relation as a generalization of EL-hyperstructures. Then, we study some basic properties and important elements belonging to this class and the essential differences between this new class and the earlier one (i.e. EL-hyperstructures) are also investigated.


Ends lemma EL-hyperstructure (semi)hypergroup n-ary relation 



The authors are highly grateful to the referees for their valuable comments and suggestions for improving the paper.

Compliance with ethical standards

Conflict of interest

The authors declare that there are no conflicts of interest in this paper.


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© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Department of MathematicsYazd UniversityYazdIran

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