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This is a Quantitative Study study.

Soft Intersection Bi-interior Ideals of Semigroups

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An ₷-int ᙝᏆ-ideal is a key generalization in semigroup theory, bridging soft set concepts effectively.
Key findings show that ₷-int left (right/two-sided) ideals transform into ₷-int ᙝᏆ-ideals under defined conditions.
This research provides counterexamples illustrating the non-symmetrical nature of converses in ideal relationships.
The core theorem linking soft characteristic functions to ₷-int ᙝᏆ-ideals supports further exploration in classical semigroup theory.

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This framework reveals relationships between soft intersection ideals and specific bi-interior structures in semigroups.

Sezgin et al. (2025) studied this question.

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