Abstract:

Aiming at the problem that soft intuitionistic fuzzy sets are partly inconsistent with our intuition in decision making, we firstly combine soft sets with intuitionistic multiplicative sets, and define the new soft set model, named soft intuitionistic multiplicative sets. Soft sets and intuitionistic multiplicative sets are generalized. Then basic operations and properties of soft intuitionistic multiplicative sets are discussed. Meanwhile, we propose an algorithm based on the theory of soft intuitionistic multiplicative sets. An application of soft intuitionistic multiplicative sets in decision making is given. Finally, the correctness and effectiveness of the method are proved by examples.

Key words: soft set, intuitionistic multiplicative set, soft intuitionistic multiplicative set, aggregation operator, decision making