Properties of Soft Vector Space Operations

Abstract: In this work, we study the soft vector space introduced by A. Sezgin Sezer et al. in 2014. We define normal soft sub vector space, normalistic soft vector space, trivial normalistic soft vector space and whole normalistic soft vector space. We also present the properties of operations such as union (∪ ), intersection (∩ ), restricted union (∪𝑅), extended intersection (∩𝐸), restricted difference (~𝑅), AND (⋀ ) and OR (⋁ ) operations and investigate their inter-relationship between each other.