Abstract In this paper, we first introduce and discuss new classes of ideals in − d algebra like M Ideals and S Ideals. Also, we introduce new classes of soft algebras they are called soft S algebras. Next, we use our new connotations to introduce and investigate new concepts in soft S − algebras like soft M − Ideals and soft S − Ideals. In this work, we prove that every S − Ideal is M − Ideal. Moreover, we show that it is not necessary every M − Ideal of ℑ is S − Ideal of ℑ by a counterexample. Also, some properties of our connotations are given.
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