An extended soft set model: Type-2 fuzzy soft sets

The soft set theory has been initiated by Molodtsov as a useful mathematical tool for dealing with uncertainty, fuzzy, not clearly defined objects. However, it is inappropriate to be used to deal with fuzzy parameters that involve uncertain words, linguistic terms and have a non-measurable domain. In this paper, we present an extended soft set model which is called type-2 fuzzy soft sets by combining the type-2 fuzzy set and soft set models. The complement, ”and”, “or”, union and intersection operations are defined on the type-2 fuzzy soft sets. The related properties of type-2 fuzzy soft sets are also presented and discussed.