A fuzzy approach for the expression of uncertainty in measurement

被引：163

作者：

Mauris, G ^{[1
]}

Lasserre, V ^{[1
]}

Foulloy, L ^{[1
]}

机构：

[1] Univ Savoie, Lab Automat & Microinformat Ind, LAMII, CESALP, F-74016 Annecy, France

来源：

MEASUREMENT | 2001年 / 29卷 / 03期

关键词：

fuzzy subset theory; possibility theory; probability theory; measurement uncertainty;

D O I：

10.1016/S0263-2241(00)00036-1

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper deals with a fuzzy expression of uncertainty in measurement. The fuzzy approach proposed consists of representing measurements by a family of intervals of confidence stacked atop one another, that in fact define the upper bound of the probability distributions consistent with these intervals of confidence. This approach is compatible with the ISO Guide for the expression of uncertainty in measurement, and is particularly interesting because it allows both the handling of specificity and uncertainty of measurement. Moreover, fuzzy uncertainty propagation is available thanks to fuzzy arithmetic, which is a generalization of interval analysis, yielding both worst case results and best estimates at the same time. In order to simplify the propagation, a parameterized possibility distribution approximating the optimal one is proposed and compared with the probabilistic approaches. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：165 / 177

页数：13

共 50 条

[1] A t-Norm-Based Fuzzy Approach to the Estimation of Measurement Uncertainty [J].

De Capua, Claudio ;

Romeo, Emilia .

IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, 2009, 58 (02) :350-355

[2] A comparative analysis of the statistical and random-fuzzy approaches in the expression of uncertainty in measurement [J].

Ferrero, A ;

Salicone, S .

IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, 2005, 54 (04) :1475-1481

[3] Accounting measurement uncertainty in fuzzy inference [J].

Ferrero, Alessandro ;

Salicone, Simona ;

Todeschird, Grazia .

2007 IEEE INTERNATIONAL WORKSHOP ON ADVANCED METHODS FOR UNCERTAINTY ESTIMATION IN MEASUREMENT, 2007, :74-+

[4] Expression of measurement uncertainty in a very limited knowledge context: A possibility theory-based approach [J].

Mauris, Gilles .

IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, 2007, 56 (03) :731-735

[5] Fuzzy handling of measurement errors in instrumentation [J].

Mauris, G ;

Berrah, L ;

Foulloy, L ;

Haurat, A .

IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, 2000, 49 (01) :89-93

[6] Meaningful expression of uncertainty in measurement [J].

Cox, Maurice ;

O'Hagan, Anthony .

ACCREDITATION AND QUALITY ASSURANCE, 2022, 27 (01) :19-37

[7] Meaningful expression of uncertainty in measurement [J].

Maurice Cox ;

Anthony O’Hagan .

Accreditation and Quality Assurance, 2022, 27 :19-37

[8] Possibility expression of measurement uncertainty in a very limited knowledge [J].

Mauris, Gilles .

2006 IEEE International Workshop on Advanced Methods for Uncertainty Estimation, 2006, :19-22

[9] Uncertainty Measurement for a Fuzzy Relation Information System [J].

Li, Zhaowen ;

Zhang, Pengfei ;

Ge, Xun ;

Xie, Ningxin ;

Zhang, Gangqiang ;

Wen, Ching-Feng .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2019, 27 (12) :2338-2352

[10] The principle of possibility maximum specificity as a basis for measurement uncertainty expression [J].

Mauris, Gilles .

2009 IEEE INTERNATIONAL WORKSHOP ON ADVANCED METHODS FOR UNCERTAINTY ESTIMATION IN MEASUREMENT, 2009, :5-9

← 1 2 3 4 5 →