基于机会测度的模糊随机不等式的简单等价形式

Simple deterministic equivalents of fuzzy random inequality based on chance measure

在模糊随机优化决策问题中,约束条件中常包含模糊随机不等式,其求解过程往往较为复杂,如何将模糊随机不等式转化为简单的等价形式,对简化其求解过程具有重要意义。文章在可信性测度的基础上,探讨了机会约束在一定的满意度水平之下的等价式形式,同时给出了在模糊随机变量服从正态分布时机会测度等价形式的具体表达式。

Many optimal fuzzy random decision making problems often involve fuzzy random inequalities in the constraints,which makes the process of optimization＇s solution more complicated.So the transformation from fuzzy random inequalities to simple equivalents is of great significance for simplifying the solution process.Based on the credibility measure,the conversion of fuzzy random inequalities into deterministic ones is discussed under certain level of satisfaction measure.The expressive formula of chance measure＇s deterministic equivalents is given when the fuzzy random variable is normally distributed.