Regular and strongly regular relations on soft hyperrings
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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.
KeywordsSoft hyperrings Fuzzy hyperideals Strongly regular relations Fuzzy hyperideals
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All authors declare that they have no conflict of interest.
This article does not contain any studies with human participants or animals performed by any of the authors.
- Ostadhadi-Dehkordi S, Karimi Amaleh M (2018) Dynamical systems and congruence relations. Int J Gen Syst https://doi.org/10.1080/03081079.2018.1524468