The Simple Deterministic Equivalents of Fuzzy Random Inequality Based on Chance Measure

Many optimal fuzzy random decision making problems often involve fuzzy random inequalities in the constraints, which makes the process of optimization’s solution more complicatedly. How to transform fuzzy random inequalities to the simple equivalents, will be of great significance for simplifying the solution process. Based on the credibility measure, we discuss the problem that fuzzy random inequalities are converted into deterministic ones under the certain level of satisfaction measure. In the meantime, we give the chance measure’s expressive formula of deterministic equivalents when the random variable is normally distributes.