Regular and strongly regular relations on soft hyperrings

  • S. Ostadhadi-Dehkordi
  • K. P. Shum


Soft set theory, introduced by Molodtsov, has been considered as an effective mathematical tool for modeling uncertainties, and soft hyperrings can be regarded as a generalization of soft rings. The motivation for such an investigation is to generalize the concept of quotient soft hyperrings and isomorphism theorems. Also, we consider when the fuzzy hyperideals of a soft hyperring are normal, then the equivalence relations defined by J. Wang et. al. on soft hyperrings are strongly regular. Moreover, the quotient soft hyperrings determined by this equivalence relation are soft rings.


Soft hyperrings Fuzzy hyperideals Strongly regular relations Fuzzy hyperideals 


Compliance with ethical standards

Conflict of interest

All authors declare that they have no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.


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© Crown 2019

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of HormozganBandar AbbasIran
  2. 2.Institute of MathematicsYunnan UniversityKunmingPeople’s Republic of China

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