Algorithms for choosing a design solution for transforming a relief

Abstract The article deals with the creation of algorithms for selecting a project of territory in the process of transforming a relief into a project surface. The selection function and the design problem are defined. Such tasks belong to the class of multicriteria optimization problems. At present, adaptive procedures based on a dialogue between a decision-maker and a computer is being successfully used. Such procedures are focused on the search for effective (Pareto optimal) alternatives. A modification of the “shifted ideal” method is proposed. Here, at the first stage, an “ideal” object is formed from the maximum utility values of the criteria. Also, the “worst” object is formed from the minimum criteria values in terms of utility. In the second stage, units of measurement are formed that allow us to estimate the distance of the object from the “ideal” object. At the next stage, the distance of each design solution to the ideal is calculated. Then design decisions are ranked by distance from the “ideal” project and are removed from the original set: the search for the optimal design solution continues until an option is found that is preferable for the decision-maker

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