Fuzzy goal programming based genetic algorithm approach to nutrient management for rice crop planning

The main purpose of this paper is to present a tolerance based fuzzy goal programming (FGP) and a FGP based genetic algorithm (GA) model for nutrient management decision-making for rice crop planning in India. In the proposed model, we have included fuzzy goals such as fertilizer cost and rice yield in the decision-making process. Fuzzy goals are converted to goal constraints using their corresponding membership function values and the deterministic equivalent of the fuzzy model is obtained using tolerance based FGP approach. This deterministic nutrient management model is also solved using a proposed real coded GA and the optimal combination of fertilizer is obtained to maximize the yield of rice within the available budget. A case example is solved under various scenarios to demonstrate the proposed approach.