Attribute reduction and decision-making model based on gray dual-information

This paper studies the attribute reduction and decision-making with gray dual-information taking into account of the attribute reduction of attribute decision is unknown because of the interval gray numbers. The attribute weights are obtained by considering the consistency of experts´ judgment matrixes and the decision matrixes with gray information. some experts´ attribute reduction ideas are proposed based on interval gray numbers of rough set. With the help of experts´ decision information, attribute uncertainty ratio and attribute value ratio are considered to reduce attribute. Finally, a numerical example shows its feasibility.