In this paper, the strong balanced solution to multiobjective programming is introduced with variable weight method, It is proved that the strong balanced solution is Pareto solution with this method, the balanced solution, namely, the solution without any single obiective minimized, is obtained by solving the problem of variable weight synthesizing.

Method integration and variable weight synthesis in solving hybrid objective systems;

In this paper, we firstly analyze the effect of variable weight synthesis.

Objective function of variable weight synthesis is introduced as the foundation on which the optimal design for the parameters of speed control system is made by genetic algorithm.

Research on variable weight synthesizing model for condition evaluating on large steam turbine;

A synthetic method to assess the software requirement risk is proposed by applying the grey relational analysis and variable weight synthesizing theory.

Aiming at large-size steam turbine DEH governing system is complex and difficult to evaluate their conditions, a method of variable weight synthesizing condition evaluation of DEH system is firstly proposed on the basis of analysis on the condition effecting factors of DEH system.

At the same time improved invariable weight aggregate,changed the weight value according to the factors configuration.

This paper focuses on multifactorial decision-making with variable weights.