Optimization of land and water resources in Nanakamatta canal command of Uttarakhand using fuzzy linear programming

The objective of this study is to develop fuzzy linear planning model for optimization of land and water resources in Nanakmatta canal command of Udham Singh Nagar district of Uttarakhand (India). The multi objective fuzzy linear programming (MOFLP) was applied for maximization of the crop sown area and net return (NR). The linear membership functions were developed from the linear programming (LP) results and objectives were fuzzified over the tolerance range. The significant increase in the value of level of satisfaction (λ) was found from 0.5525 to 0.5825 by using the MOFLP model based on maximum approach. Fuzzy Linear Programming (FLP) solution yields a net benefit of 84.61 million rupees against net sown area of 1856.40 ha under normal rainfall with a satisfaction level (λ) of 0.5855 and 75.98 million rupees against net sown area of 1627.90 ha under 50% probability rainfall condition with a satisfaction level (λ) of 0.5525.