Formalization and Solving the Problem of the Fuzzy Mathematical Programming to Optimize the Operation at Oil Equipment PlantWorld Applied Sciences Journal

This works researches the problems of Fuzzy Mathematical Programming (FMP) and methods of their solution; it is proposed a new approach to the formulation FMP problems and their effective solutions. Originality and novelty of the proposed formalization methods and solving FMP problems from known methods are defined so that problems can be posed and solved without preliminary transformation them to equivalent deterministic options that reduce the loss of the original fuzzy information (knowledge, experience, intuition of experts). Modification idea, Pareto optimality and principal criterion is proposed to solve the multi–criteria problem and fuzziness of the production tasks in this work. A practical use of the proposed approach to formalization and solving FMP problem as the example to optimize the production on oil equipment plant is provided as the example. It is showed that a better solution than the solution for the deterministic option of the original fuzzy problem can be achieved when solving the problem with the lack of fuzziness.