optimization the cropping pattern in order to protection and sustainability of environmental in alamut western region (an approach of lexicographic goal programming)

nowadays the methods that for determining the optimal planting crops are used often in order to increase farmer's prosperity and take steps to maximize their profits, while the neglect of damaging effects environmental can adverse consequences and a lot of problems for future generations of mankind create. therefore, choice a method that could help saves the environment multiple managers' goals to achieve to suited cultivation patterns leave in a model is necessary and important. therefore in this study to achieve the objectives comprehensive above, especially in determining the optimal pattern planting rudbar alamot western qazvin province and also reducing water pollutions river basin shahrud that resulting from the more using of chemical fertilizers lexicographic goal programming was used. this study data from premier farmers of this section, field studies, surveys, statistical yearbook 1389 and also statistics released by agriculture jahad organization of qazvin province was collected and to analyze data and solve the proposed model excel software was used. the results showed that the current pattern of farming in this section is not optimal and production inputs non-efficient used. therefore, we can take effective steps with using the proposed model in addition to choosing the appropriate pattern and optimum use of region resources, in order to increase farmers' incomes and reduce environmental degradation removal.