非对称模糊优化设计问题中的约束稳健性研究

一般非对称模糊优化设计数学模型中,设计变量按名义值处理,未考虑可控因素和噪声因素对模糊约束条件稳健性的影响,不能对模糊约束条件满足水平的波动实行有效控制.根据稳健设计原理,提出了模糊约束条件的容差型稳健性准则;把该准则应用于模糊优化设计,提出了基于约束稳健性的模糊优化设计方法,提高了模糊优化设计解的可信度和工程使用价值,并给出了设计实例.

Study on the Robustness of Restrictive Condition in the Non- symmetry Fuzzy Optimal Design

In the mathematical model of general non-symmetry fuzzy optimal design, the influence that controllable factors and noise factors act on the robustness of fuzzy restrictive condition weren't considered because design variables were disposed in nominal values. Then the fluctuation of the level satisfied by fuzzy restrictive conditions weren't effectively controlled. Based on the principle of robust design, the robustness rule of fuzzy restriction condition in tolerance type was put forward. It was applied in fuzzy optimal design, furthermore, the method for fuzzy optimal design based on robustness of restrictive condition was put forward. Reliability of the resolutions of fuzzy optimal design and application valuation in engineering were increased. A design example was given.