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This is a Quantitative Study study.

Soft Symmetric Difference Complement-Intersection Product of Groups

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The study proves that the proposed operation satisfies algebraic properties like closure and associativity.
A foundational step is taken toward developing generalized soft group theory in which soft sets emulate classical group behaviors.
Interactions with null soft sets and identity elements are analyzed, strengthening the theoretical architecture of soft set theory.
The operation enhances the understanding of soft set theory and broadens its applications in decision-making and modeling.

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This analysis introduces a novel soft symmetric difference operation in soft set theory, indicating new algebraic insights.

Ay et al. (2025) studied this question.

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