Regular and strongly soft $\Gamma$- relations on fuzzy soft $\Gamma$-hyperrings
نویسندگان
1 Department of mathematics, University of Hormozgan, Hormozgan, Bandar abbas, Iran.
2 Department of Mathematics, Shahid Beheshti University, Tehran Iran
doi
10.22034/as.2019.1610چکیده
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.
