THE VARIANCE FORMULAS FOR TRIANGULAR FUZZY RANDOM VARIABLES

摘要：

Fuzzy random variable is a measurable mapping from a probability space to a collection of fuzzy variables. The variance is a fundamental concept for fuzzy random variables. Due to the difficulties involved in computing variance, we usually focus on searching for good approximation and simulation methods to solve a complex model. Based on the definition of the variance of a fuzzy random variable, this paper first presents precision formulas for the variances of triangular fuzzy random variables, which can be applied to fuzzy random optimization problems as we design algorithms to solve fuzzy random programming. Then, to apply the variance formulas, we provide two numerical examples.

关键词： Fuzzy Variable Fuzzy Random Variable Ezpected Value Variance

作者: FANG-FANG HAO YAN-KUI LIU SHUO WANG

作者单位: College of Mathematics and Computer Science, Hebei University, Baoding 071002, China

会议类型: 国际会议

会议名称: 2008 International Conference on Machine Learning and Cybernetics(2008机器学习与控制论国际会议)

会议地点: 昆明

会议语种:英文

页码: 612-617

在线出版日期: 2008-07-12（万方平台首次上网日期，不代表论文的发表时间）