多随机模糊因素测度度量的近似化和实际计算

Approximate Measurement for Multiple Random Fuzzy Factors and Its Practical Calculation

本文针对应用随机模糊优化设计理论所遇到的两个主要困难提出了解决办法.其中一个困难是,当优化模型中的随机模糊目标函数和约束函数的不确定性由多个随机模糊因素决定时,能不能对它们的不确定性,尤其是模糊性进行一种近似的描述,使得对目标满意度和约束满足度的计算更加直接;另一个困难是如何有效地计算目标满意度和约束满足度表达式中的多重积分.克服这两个困难对实际应用随机模糊优化设计理论具有重大意义.

Methods of solving the two major problems in applying Random Fuzzy Optimal Design Theory are proposed in this paper. One of them is how to approximate the diseription for the uncertainties, especially the fuzziness of the random fuzzy objectives and constraints when there exist multiple random fuzzy factors, in optimization model so that the calculation for the satisfactory degrees of objectives and constraints becomes easier. Another problem is how to calculate the multiple integration in the expression of the satisfactory degrees of objective and constraint. Solving these two problems is important for the application of Random Fuzzy Optimal Design Theory.