Fuzziness in linear programming with application

With regard to the difficulty and the big role that is made to reach the optimal solution of the institutions and factories system processing through the perfect or alternative decision making among the abundant decisions or alternative groups, and since that the information could be inaccurate or uncertain , in this research one of the types of nonlinear logistic functions has been used, that is the modified s- curve membership function in the selection of the best production mixture for solving the problems of industrial institutions through the application of fuzzy linear programming method.This function is qualified by including an important factor(fuzzy factor ) which could determine the shape of function as well as by its flexibility in dealing with fuzzy indications .The industrial production units face the problem of being fuzzy in their various areas such as raw materials , human resources , work hours , ,etc. In order to solve this problem ,fuzzy programming method has been applied in this research in the General Company for Vegetarian Oil to determine the best mixture and to achieve the required object increasing the profitability according to two important factor . the first factor is the level of satisfaction by taking (21) level which ranged between (0.0010-0.999) with an excess (0.0499) . The second one is fuzzy factor that ranged between (1-40) with an excess (2) that each one of them has been determined by the researcher .The research has concluded that the optimal decision depends on the fuzzy Factor in the problem of determining the production mixture in the fuzzy model , as well as that the highest level production units could be obtained when the fuzziness in the model is low