Measurement uncertainty : an approach via the mathematical theory of evidence / Simona Salicone.

Format:

Book

Author/Creator:

Salicone, Simona.

Series:

Springer series in reliability engineering

Language:

English

Subjects (All):

Uncertainty (Information theory).

Dempster-Shafer theory.

Physical Description:

x, 228 pages : illustrations ; 25 cm.

Place of Publication:

New York : Springer, [2007]

Summary:

The expression of uncertainty in measurement is a challenging aspect for researchers and engineers working in instrumentation and measurement because it involves physical, mathematical and philosophical issues. This problem is intensified by the limitations of the probabilistic approach used by the current standard (GUM). This text is the first to make full use of the mathematical theory of evidence to express the uncertainty in measurements. It gives an overview of the current standard, then pinpoints and constructively resolves its limitations through its unique approach. The text presents various tools for evaluating uncertainty, beginning with the probabilistic approach and concluding with the expression of uncertainty using random-fuzzy variables. The exposition is driven by numerous examples. The book is designed for immediate use and application in research and laboratory work. Prerequisites for students include courses in statistics and measurement science. Apart from a classroom setting, this book can be used by practitioners in a variety of fields (including applied mathematics, applied probability, electrical and computer engineering, and experimental physics), and by such institutions as the IEEE, ISA, and National Institute of Standards and Technology.

Contents:

1. Uncertainty in measurement

2. Fuzzy variables and measurement uncertainty

3. The theory of evidence

4. Random-fuzzy variables

5. Construction of random-fuzzy variables

6. Fuzzy operators

7. The mathematics of random-fuzzy variables

8. Representation of random-fuzzy variables

9. Decision making rules with random-fuzzy variables.

Notes:

Includes bibliographical references (pages [225]-226) and index.

ISBN:

9780387306551

0387306552

9780387463285

0387463283

OCLC:

78202889