基于能量守恒的机械零件可靠性模糊多目标优化方法研究

多目标优化中各子目标函数权值分配应采用动态变化的赋值方法，并且应将基于有效解的常规多目标优化模型拓展为基于软计算满意解的模糊多目标优化模型。从能量守恒与转化以及系统论方法的角度，对多目标优化进行了阐述。利用模糊集理论中隶属函数的特性，将各子目标函数模糊化处理为满意度函数，建立了广义均匀定常满意度函数场下的模糊多目标优化的能量关系模型，提出了由协调校正权函数、广义有势力函数构成的多目标满意解总评价函数的方法。给出机械零件可靠性多目标满意解优化实例，进行可行性验证。

Study on Fuzzy Multi-Objective Optimization of Mechanical Component Reliability Based on Energy Conservation

After discoursing the limitation and uncertainty of steady weight coefficient both in subjective and objective to each sub-object in multi-objective optimization and the essence of satisfactory solution of multi-objective optimization,it is shown that not only the evaluation of each sub-object in weight allocation should adopt dynamic evaluating method, but also the classical model of multi-objective optimization based on satisfactory solution should be generalized to fuzzy multi-objective optimization model based on soft calculation satisfactory solution. This paper discusses multi-objective optimization in the method of energy conservation and transition and systematology. Using the property of membership function in fuzzy sets theory,each sub-objective function is transformed into satisfactory function, then an energy relationship model of fuzzy multi-objective optimization is built in generalized uniformity steady satisfactory function field and a general evaluation function of multi-objective satisfactory solution is developed that is composed by correcting weight function and generalized potential force function. At last, an illustrative example of multi-objective optimization of mechanical component reliability is given.