A CLASS OF 1-DIMENSIONAL FUZZY NUMBERS AND APPLICATIONS

摘要：

In this paper, a class of 1-dimensional fuzzy numbers Is studied.The definitions of arithmetic operations such as addition, subtraction, scalar multiplication and multiplication between fuzzy number and fuzzy number are given without the aid of α-level set.And also we study the expectation, variance, covariance of fuzzy random variables and differential, Stielt-jes integral of fuzzy number-valued functions without the aid of set-valued theory which is very different from the present research approach.Fuzzy number-valued Brownian motion and its properties are studied, which are very similar to real-valued Brownian motion.

关键词： fuzzy number arithmetic operations differential Stleltjes Integral fuzzy Brownian motion stochastic integral

作者: JINPING ZHANG

作者单位: Faculty of Science and Engineering, Saga University.1 Honjo-Machi, Saga, 840-0027, Japan;Department of Applied Mathematics, Beijing University of Technology, Beijing 100022, China

会议类型: 国际会议

会议名称: 2007 International Conference on Machine Learning and Cybernetics(IEEE第六届机器学习与控制论国际会议)

会议地点: 香港

会议语种:英文

页码: 1238-1243

在线出版日期: 2007-08-19（万方平台首次上网日期，不代表论文的发表时间）