A CUSUM control chart for fuzzy quality data

被引:0
作者
Wang, Dabuxilatu [1 ]
机构
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
来源
SOFT METHODS FOR INTEGRATED UNCERTAINTY MODELLING | 2006年
关键词
statistical process control; Cumulative sum chart; representative values; fuzzy sets;
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
Based on the concept of fuzzy random variables, we propose an optimal representative value for fuzzy quality data by means of a combination of a random variable with a measure of fuzziness. Applying the classical Cumulative Sum (CUSUM) chart for these representative values, an univariate CUSUM control chart concerning LR-fuzzy data under independent observations is constructed.
引用
收藏
页码:357 / 364
页数:8
相关论文
共 17 条
[1]  
Cen YT, 1996, FUZZY SET SYST, V83, P283, DOI 10.1016/0165-0114(95)00383-5
[2]   Fuzzy process control: construction of control charts with fuzzy numbers [J].
Cheng, CB .
FUZZY SETS AND SYSTEMS, 2005, 154 (02) :287-303
[3]  
Dubois D., 1980, FUZZY SET SYST
[4]  
Grzegorzewski P, 2000, CONTROL CYBERN, V29, P119
[5]  
GRZEGORZEWSKI P, 1997, P 5 EUR C INT TECHN, P1326
[6]   CONTROL CHARTS FOR PROCESS AVERAGE AND VARIABILITY BASED ON LINGUISTIC DATA [J].
KANAGAWA, A ;
TAMAKI, F ;
OHTA, H .
INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, 1993, 31 (04) :913-922
[7]   An asymptotic α-test for the expectation of random fuzzy variables [J].
Körner, R .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2000, 83 (02) :331-346
[8]  
Kruse R., 1987, Statistics with vague data, DOI DOI 10.1007/978-94-009-3943-1
[9]  
PAGE ES, 1954, BIOMETRIKA, V41, P100, DOI 10.1093/biomet/41.1-2.100
[10]   FUZZY RANDOM-VARIABLES [J].
PURI, ML ;
RALESCU, DA .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 114 (02) :409-422