Regression model based on fuzzy random variables

被引:0
|
作者
Imai, Shinya [1 ]
Wang, Shuming [1 ]
Watada, Junzo [1 ]
机构
[1] Waseda Univ, Grad Sch Informat Prod & Syst, Fukuoka 8080135, Japan
来源
KNOWLEDGE-BASED INTELLIGENT INFORMATION AND ENGINEERING SYSTEMS, PT 3, PROCEEDINGS | 2008年 / 5179卷
关键词
fuzzy random variable; expected value; fuzzy regression model;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In real-world regression problems, various statistical data may be linguistically imprecise or vague. Because of such co-existence of random and fuzzy information, we can not characterize the data only by random variables. Therefore, one can consider the use of fuzzy random variables as an integral component of regression problems. The objective of this paper is to build a regression model based on fuzzy random variables. First, a general regression model for fuzzy random data is proposed. After that, using expected value operators of fuzzy random variables, an expected regression model is established. The expected regression model can be developed by converting the original problem to a task of a linear programming problem. Finally, an explanatory example is provided.
引用
收藏
页码:127 / 135
页数:9
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