Complementary Extended Plus Operation of Soft Sets

Soft set theory, introduced by Molodtsov in 1999, offers a versatile framework for handling uncertainty in data analysis and decision-making processes. Unlike traditional set theory, soft sets allow elements to be parametrized, providing a more nuanced representation of uncertainty. In this context, a new kind of soft set operation called complementary extended plus soft set operation, is defined in this paper to contribute to the theory. The properties of the operation are examined in detail, along with its distributions over other soft set operations, to establish the relationship between the complementary extended plus operation and other operations.