Abstarct: The main purpose of this research is to offer a method to predict the appropriate financing of a firm over multi-period, using a mathematical model.For this purpose, given the company's multiple goals that are mutually connected with the issue of financing, the problem is modeled by using fuzzy goal programming technique to solve the problem.weighted goal programming is employed in this study.To determine the weights of the objectives , fuzzy analytic hierarchy process is used. Techniques used in this research can be applied to any company, especially joint-stock companies.However,to illustrate the model,we use it for financing Shahroud Cement Factory over three periods with respect to prior fiscal years,in a case study. The main data have been extracted from the last 5 years of the company financial statements and the related explanatory notes.To predict some parameters,we used SPSS.22 software for calculating linear regression and Lingo.14 software to analyse the model. In the end, the results and recommendations for future research are discussed.