The existing Gravity model, in trip distribution forecasting, involves iterative adjustments and time consuming, because it is not able to perform adjustment simultaneously. This drawback has been considered in this article.
In the real world problems, the transportation parameters such as traveling time are not crisp. Therefore, it has been addressed by possibility distribution here.
In this paper a new mathematical model is proposed to consider the above shortcomings. Finally the superiority of the new method has been shown by a numerical example.