الفهرس 
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Abstract
Our main object is to investigate new algebraic structures such as soft interior ideals, generalized soft bi-ideals over a semigroup. Also, we introduce some relationships between these ideals. New soft ideals generated by a soft set are presented. Finally, we study the rough soft sets by introducing rough soft ideals over semigroups and soft topological spaces on these sets.
Keywords:- Soft sets, soft ideal, soft semigroups, rough sets, soft interior ideals, soft extensions, rough soft ideals.