This paper deals with a solution procedure for solving linear fuzzy fractional transportation problem (LFFTP) which is a special type of linear fuzzy fractional programming problem (LFFPP). Fuzzy version of improved Vogel’s approximation method and Fuzzy version of Modi method are used to obtain the fuzzy optimal solution to the given LFFTP by without reformulating the original problem into an ...

in this study the location routing problem with fuzzy parameters is taken into account, this problem involves determining the location of the depots and routing of the vehicles in order to serve the customers. in this study a location routing problem with fuzzy travel times and due dates is considered and two objective models are proposed. the considered objectives are minimizing the total cost...

In this paper fully fuzzy linear programming (FFLP) problem with both equality and inequality constraints is considered where all the parameters and decision variables are represented by non-negative trapezoidal fuzzy numbers. According to the current approach, the FFLP problem with equality constraints first is converted into a multi–objective linear programming (MOLP) problem with crisp const...

Transportation models play an important role in logistics and supply chain management for reducing cost and improving service. This paper develops a procedure to derive the fuzzy objective value of the fuzzy transportation problem, in that the cost coefficients and the supply and demand quantities are fuzzy numbers. The idea is based on the extension principle. A pair of mathematical programs i...