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Soft set theory is a theory of dealing with uncertainty. Since its inception, many kinds of soft set operations are defined and used in various types. In this paper, a new kind of soft set operation called, complementary soft binary piecewise difference operation is defined and its basic properties are investigated. We obtain many striking analogous fact between difference operation in classical theory and complementary soft binary piecewise difference operation in soft set theory. Also, by obtaining the relationships between this new soft set operation and all other types of soft set operations, we aim to contribute to the soft set literature with the help of examing the distribution rules.
Sezgin et al. (2024) studied this question.