Regular and strongly softΓ- relations on fuzzy softΓ-hyperrings

نویسندگان

1 دانشگاه علم و فرهنگ

2

doi
10.22034/as.2019.1610
چکیده

The concept of fuzzy soft $\Gamma$-hyperrings introduced by  J. Zhan et al.  as a generalization of the soft rings. In this paper, we prove the equivalence relation $\mu^{\ast}$ defined by J. Zhan et al. is a strongly soft $\Gamma$-regular relation and hyperoperations defined on quotient fuzzy soft $\Gamma$-hyperrings are just operations. Also, we define the equivalence relation $\mu^{\ast}_I$ as a generalization the relation $\mu^{\ast}$ and consider quotient fuzzy soft $\Gamma$-hyperrings and isomorphism theorems   by thisregular relation.