Production Dependent Agricultural 3D Transportation Problem with Maximization of Annual Net Profit in Generalized Intuitionistic Fuzzy Environment

In this paper, we have presented a 3D transportation problem in generalized intuitionistic fuzzy environment in order to maximize the profit. Here, annual net profit as an objective function has been introduced in the transportation problem. Furthermore, as the production rate is not same for the whole year for the agricultural products, we have introduced average month wise production rate. As a result the availability varies month wise. Also, the purchasing price at each source and the selling price at each destination varies month wise because of the different month wise average production rates. At the same time, the demand at each destination varies due to the variation of selling price. This paper treats all costs, demands, supplies, capacities as generalized intuitionistic fuzzy in nature. The reduced deterministic models has been obtained on implementation of a defuzzification approach by using the accuracy function. The model has been illustrated by numerical example and also the optimal results has been presented by solving the reduced deterministic problem using generalized reduced gradient (GRG) method by lingo software.