Fuzzy decision-making problem for controlling operating modes of technological systems and method for their solution

Abstract

Statements of decision-making problems for managing fuzzy technological objects have been formalized and obtained. and methods for solving them are proposed. The object of study is a heating station for a “hot” main oil pipeline. Since such objects are often characterized by multi-criteria and often operate in conditions of unclear initial information, the tasks are formalized in the form of multi-criteria decision-making problems in a fuzzy environment. Based on the modification of various optimality principles, new mathematical formulations of the problems to be solved were obtained and interactive heuristic algorithms for solving them were developed. The novelty of the proposed approaches to solving formalized fuzzy problems from well-known methods for solving fuzzy problems lies in the fact that problems are posed and solved without first converting them to equivalent deterministic options, which does not reduce the loss of original fuzzy information and makes it possible to obtain more adequate and effective solutions. An example is given of the practical application of the proposed approach to solving decision-making problems by implementing one of the developed algorithms when solving the problem of choosing an effective operating mode for the oil heating station of the Uzen-Samara oil pipeline at the Atyrau point.