Development of a heuristic method for solving the problem of control of reforming technology process in a fuzzy environment

Abstract

A mathematical formulation of the problem of controlling the reforming process in a fuzzy environment has been formulated and obtained, and a heuristic method for the task has been developed based on the modification of the principles of absolute (relative) assignment and Pareto optimality. The proposed fuzzy approach to solving the control problem in a fuzzy environment is based on the involvement of a decision maker, i.e. his knowledge and experience in the decision-making process for process control in a fuzzy environment. In this case, the experience, knowledge, intuition and preference of the decision-maker, as a rule, is expressed in the form of fuzzy information. The mathematical formulation of the reforming process control problem is concretized for the case of one criterion (gasoline yield) and a vector of fuzzy constraints, when the yield of other minor products (hydrocarbon gases) can be ignored. The specific task of controlling the reforming process is solved using the proposed heuristic method. The results obtained are compared with the known results obtained on the basis of a deterministic approach and real data. The advantages are shown and the effectiveness of the proposed fuzzy approach to solving the control problem in a fuzzy environment is substantiated, which, when solving the problem, takes into account and makes the most of the initial fuzzy information. The novelty of the proposed approach to the formulation and solution of the control problem in a fuzzy environment lies in increasing the adequacy of the decision made based on the use of the experience, knowledge and intuition of the decision maker.