soft set

Definition

• Let U be an initial universe set and E be a set of parameters. Let A ⊆ E. A pair (F, A) is called a soft set over U, where F is a mapping given by F : A → P(U). In other words, a soft set over U is a parametrized family of subsets of the universe U.

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.