Abstract:
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.
Keywords and phrases:Quasigroups, idempotent $S$-fuzzy subquasigroups, abnormalization.
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