Definition
- Let T be the collection of soft sets over X, then T is said to be a soft topology on X if
- belong to T
- the union of any number of soft sets in T belongs to T
- the intersection of any two soft sets in T belongs to T .
( is the soft set (X , E) which X (α)=X for all α ∈ E.)
Reference
- Molodtsov, D. Soft set theory -first results. (English summary), Global optimization, control, and games, III. Comput. Math. Appl. 37 (1999), no. 4-5, 19-31.