Fuzzy subquasigroups with respect to a $s$-norm

In this paper the notion of idempotent fuzzy subquasigroups with respect to a $s$-norm is introduced and some related properties are investigated. Then properties of homomorphic image and inverse image of fuzzy subquasigroups respect to a $s$-norm are discussed. Next some properties of direct product of fuzzy subquasigroups with respect to a $s$-norm are presented. Finally abnormalization of fuzzy subquasigroups with respect to a $s$-norm is studied.