Optimal Allocation of Water Using Fuzzy Programming Models

To achieve goals such as economic growth, food security and sustainability of scarce resources, including water resources depends more than ever to correct use of these resources.‌ Climatic characteristics of our country, wasting too much water in various uses, especially its low efficiency in the agricultural sector, unwillingness of private sector in investment in water resources development and inappropriate patterns of the crop pattern at one hand, and Scarcity of water resources on the other hand has led the optimal allocation of water to be of interest and importance. Accordingly, the aim of this study is to estimate the real value (shadow price) of water and determine the optimal cropping pattern with regard to products that are more efficient in using of water. For this purpose Fuzzy linear programming model used and the results are compared with exact linear programming model. Results for lands under coverage of Alavian dam show that the real price of water by using both models is identical and equal to 198 Rials per cubic meter, but profits per unit of water consumed in the fuzzy model is much more definite pattern.