krasner $f^{(m, n)}$-hyperrings

$!!!!$ in this paper, the notion of fuzzy $!$ krasner $!(m, n)$-hyperrings($!f^{(m, n)}!$-hyperrings) by using the notion of$f^m$-hyperoperations and $f^n$-operations is introduced and somerelated properties are investigated. in this regards,relationships between krasner $f^{(m, n)}$-hyperrings and krasner$(m, n)$-hyperrings are considered. we shall prove that everykrasner $f^{(m, n)}$-hyperring is extended by a krasner $f^{(2,n)}$-hyperring. the concepts of normal $f$-hyperideals andhomomorphisms of krasner $f^{(m, n)}$-hyperrings are adopted.also, the quotient of krasner $f^{(m, n)}$-hyperrings by definingregular relations are studied. finally, the classical isomorphismtheorems of groups are generalized to krasner $f^{(m,n)}$-hyperrings provided the $f$-hyperideals considered in themare normal.