A New Soft Set Operation: Complementary Soft Binary Piecewise Theta (θ) Operation

Abstract

Soft set theory, introduced by Molodtsov, is an efficacious mathematical tool to deal with uncertainty and it has been applied to many fields both as a theoretical and application aspect. Since its inception, different kinds of soft set operations are defined and used in various types. In this paper, we define a new kind of soft set operation called, complementary soft binary piecewise theta operation and we investigate its basic algebraic properties. Moreover, it is aimed to contribute to the soft set literature by examining the relationships between this new soft set operation and some other types of soft set operations by examing the distribution of complementary soft binary piecewise theta operation over extended soft set operations, complementary extended soft set operations, soft binary piecewise operations, complementary soft binary piecewise operations and restricted soft set operations.