%0 Journal Article %T On Isomorphism Theorems of Fn -Polygroups %J Journal of Sciences, Islamic Republic of Iran %I University of Tehran %Z 1016-1104 %A Davvaz, B. %D 2013 %\ 09/01/2013 %V 24 %N 3 %P 259-267 %! On Isomorphism Theorems of Fn -Polygroups %K Hyperstructure %K Fuzzy set %K Fn -Hyperoperation %K Fn -Polygroup %K Regular and strongly regular relations %R %X In this paper, the notion of fuzzy n-polygroups (Fn -polygroups) is introduced and some related properties are investigated. In this regards, the concepts of normalĀ  F-subpolygroups and homomorphisms of Fn-polygroups are adopted. Also, the quotient of Fn-polygroups by defining regular relations are studied. Finally, the classical isomorphism theorems of groups are generalized to Fn-polygroups provided that the F-subpolygroups considered in them are normal. %U https://jsciences.ut.ac.ir/article_35641_5c578a0ec6bfd1ad6d951075ade3595a.pdf