Fuzzy goal programming approach for solving stochastic transportation problem with additional budgetary constraints

This paper attempts to study a transportation problem with costs represented by octagonal fuzzy numbers (Oct-FN) and demands randomly distributed. Here, we use the normal distribution. A fuzzy goal programming (FGP) approach is applied for obtaining the optimal compromise solution. The advantage of FGP for the decision maker is easy to explain and implement in real-life transportation. The stability set of the first kind corresponding to the optimal solution is determined. A numerical example is given to highlight the solution approach. Furthermore, the proposed method is extended to fuzzy transportation problems (FTP). This will help the forthcoming researchers to enlarge this problem into the other problems with parameters like fuzzy interval integers, rough interval integers, and so on.