Provide a mathematical model for determining decision-making styles and improving its effectiveness in the face of data uncertainty .

Decision making in the real world requires considering the evidence and information obtained from various sources that are effective in decision making, sometimes this evidence and information is available and accurate and sometimes so complex and ambiguous that it leads to the emergence of decision styles. There is a lot of confusion. The present study seeks to provide a model for determining managers' decision-making style, especially in the context of data uncertainty, by using probability laws based on data reliability and based on mathematical theory. Improve decision-making effectiveness In this model, the decision was made based on its quadruple component according to the opinion of the reporters, and based on the theoretical model of modeling evidence and nonlinear model. Then, a questionnaire containing 18 questions about the type of problem ahead was distributed for decision making in the managers of the branches of one of the private banks in Gilan province and based on the Likert spectrum. The obtained data were obtained by modeling the presented model and the final results. The results showed that in case of data certainty, analytical and rational approach and in case of data uncertainty, intuitive approaches are used for decision making. In addition, the proposed model provides a solution for obtaining and improving the effectiveness of decisions by consolidating the opinions of experts.