Two Different Types of Soft Near-Fields

Molodtsov’s soft set is a novel mathematical approach to address models containing uncertainty. The algebraic structures of this set approach are prominent issues. The main objective of this paper is to contribute algebraic structures in the soft set theory. Relatedly, the notions of soft intersection near-field and soft union near-field, and their fundamental properties are introduced. Also, some findings and results related to the emerging soft algebraic structures are included.