ON LAWS OF LARGE NUMBERS FOR L-R FUZZY VARIABLES

摘要：

In this study, we discuss the laws of large numbers for T-independent L-R fuzzy variables based on continuous Archimedean t-norm and expected value of fuzzy variable. First, by using continuous Archimedean t-norm, we derive several convergent properties of sum of L-R fuzzy variables in credibility measure and in expected value, respectively. Then, on the basis of the obtained convergent properties, we establish some laws of large numbers for T-independent L-R fuzzy variables.

关键词： Fuzzy variable Credibility measure Independence Triangular norm Law of large numbers

作者: SHU-MING WANG JUNZO WATADA

作者单位: Graduate School of Information, Production and Systems, Waseda University 2-7 Hibikino, Wakamatsu, Kitakyushu 808-0135, Fukuoka, Japan

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: 3750-3755

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）