By combining the generalized fuzzy soft set with the intuitionistic fuzzy set, the concept of generalized intuitionistic fuzzy soft set was proposed. Some operations of generalized intuitionistic fuzzy soft set were defined, and their algebraic properties were given. Furthermore, it was proved that certain associative law, distributive law and De Morgan laws held in generalized intuitionistic fuzzy soft set.%通过组合广义模糊软集与直觉模糊集,提出了广义直觉模糊软集的概念,定义了广义直觉模糊软集的一些算子,给出了相关算子的一些代数性质,并证明了结合律、分配律和De Morgan律成立.
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