Uncertain multiobjective programming in the design of aircraft

The article considers the problem of preliminary aerodynamic design of aircraft weight summary. The design process is characterized by the inevitable noise and uncertainty. For modeling uncertainty a number of theories was offered. The most popular is the theory of fuzzy sets by Zadeh. The latest development is the theory uncertainty of chinese mathematician Baoding Liu. Now the theory of uncertainty is a branch of axiomatic mathematics for uncertainty modeling. The theory of uncertainty has been widely used in practice in optimal control problems. The article outlines the basic tenets of the theory of uncertainty and describes models of uncertain programming. Formulation of the problem of preliminary aerodynamic design of aircraft weight summary is proposed as the problem of uncertain multiobjective programming. To solve this problem the multiobjective genetic algorithm is applied.