fuzzy programming

Introduction:

 Banks are the main suppliers of financial resources to the real sectors of the economy (agriculture, industry and services) and in addition to their main function, the main motivation of banks is to equip and allocate resources and provide diverse services to customers, generating income and profit as other economic institutions. The purpose of this study is to present a mathematical model based on mathematical planning models to find the best combination of facilities and deposits of Keshavarzi Bank that will bring the most profit for the bank.

In this paper, the model is estimated by using of 2 programming

linear and fuzzy linear. To collect data, we used the available information in Agricultural (keshavarzi) bank of Kerman province.

Due to the results, linear programming is more appropriate. So that the profit from payment of facilities using linear planning has increased by two percent (45462 million Rials) compared to fuzzy planning and by 11 percent (288790 million Rials) compared to the current allocation of the bank.

The results suggest that using linear programming could help the managers for allocating resources so that higher yields would be achieved. Linear programming methods are top priority compared to other method.

In traditional irrigation systems, inappropriate management of water allocation may lead to poor performance of the irrigation district, an increase in water losses, and a reduction in crop water productivity (CWP). Using optimization methods and nonlinear models along with the geographical information system (GIS) can improve the management of an irrigation district under uncertain condition. The objective of this study is to investigate the optimal water allocation and reasons for the CWP reduction in irrigation distribution district. To do so, in the first stage, those sites of water distribution district with the highest effects on CWP variability were identified. Then, the CWP was increased, later. For this purpose, fuzzy programming models and the possibility theory are used to prepare a water allocation plan for the irrigation system of Sistan Dam. The results show that the highest CWP of irrigation district for wheat fields is 0.45 kg/m3, which exist at the sites by the range of discharge losses in 360 to 400 L/m/hr. The analysis of these critical spots shows that the CWP values do not necessarily depend on crop productivity but they may depend on the management factors of irrigation district and the cultivated areas. Therefore, the spots with an optimized CWP could be considered as suitable patterns for increasing the management efficiency.

Due to the special nature of agricultural activities and results of decisions influenced by the risk and uncertainty of these activities, consideration risk is essential in planning for agriculture sector. Interval-valued fuzzy programming approach is advantage of in this study for considering the conditions of uncertainty and additionally emphasizing on the limitation of water resources in defining the optimal crop pattern. The required data was gathered via 128 questionnaire and interviews with the farmers of Esfarayen county as simple random sampling in 2012-2013. The results show that Forage maize, Red beans and wheat in the most case scenarios are economical as well as optimal crops for cultivation, and the profit of the optimul model increases with reduction the uncertainty in water resources. Also, the level of water consumption in current cropping patterns is more than the amount of water consumption in the optimal cropping pattern. Therefore, presentation of supportive policies such asenhancement of insurance coverage for crops or the guaranteed price for crops, cultivationof the recommended optimal crops are suggested to develop. In addition, the increase inprofitability of the farmers from too much usage of underground aquifers is stopped aswell.

Determining the optimal pattern for growing crops in accordance with the availability of the resources and risk factors as well as the uncertainty of agriculture sector would help the farmers، managers and economic planners in selecting the type of the product and the level of cultivation. Fuzzy programming model with Interval programming approach is used in this study to determine the optimal cultivation pattern in the Esfarayen county while taking terms of uncertainty into consideration. The required data were gathered via 128 questionnaire and interviews with the farmers of the region as simple random sampling in 2013. Using different levels of Alpha cut in the model made the whole parameter-related fuzzy data to access the optimization process fractionally. Models assessments results with perspective to optimistic and pessimistic conditions in accordance with various Alpha cuts show the benefit increases in optimistic conditions while decreasing in conservative ones due to the increase in the level of uncertainty and risk or expansion of fluctuations periphery due to smaller Alpha cuts. Forage maize، Red beans and wheat in most case scenarios are economical as well as optimum crops for cultivation. In order to improve the farmers’ money-making situation along with optimal usage of production sources، encouraging and supportive policies to be performed by Agriculture- Jehad (Ministry of Agriculture) of Northern Khorasan or the Esfarayen county is recommended.