Measuring Uncertainty within the Theory of Evidence

• Κύριοι συγγραφείς: Salicone, Simona (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Prioli, Marco (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Springer Series in Measurement Science and Technology,
• Θέματα: Probabilities.; Probability Theory and Stochastic Processes.

This monograph considers the evaluation and expression of measurement uncertainty within the mathematical framework of the Theory of Evidence. With a new perspective on the metrology science, the text paves the way for innovative applications in a wide range of areas. Building on Simona Salicone...

Πίνακας περιεχομένων:

• 1. Introduction
• Part I: The background of the Measurement Uncertainty
• 2. Measurements
• 3. Mathematical Methods to handle Measurement Uncertainty
• 4. A first, preliminary example
• Part II: The mathematical Theory of the Evidence
• 5. Introduction: probability and belief functions
• 6. Basic definitions of the Theory of Evidence
• 7. Particular cases of the Theory of Evidence
• 8. Operators between possibility distributions
• 9. The joint possibility distributions
• 10. The combination of the possibility distributions
• 11. The comparison of the possibility distributions
• 12. The Probability-Possibility Transformations
• Part III: The Fuzzy Set Theory and the Theory of the Evidence
• 13. A short review of the Fuzzy Set Theory
• 14. The relationship between the Fuzzy Set Theory and the Theory of Evidence
• Part IV: Measurement Uncertainty within the mathematical framework of the Theory of the Evidence
• 15. Introduction: towards an alternative representation of the Measurement Results
• 16. Random-Fuzzy Variables and Measurement Results
• 17. The Joint Random-Fuzzy variables
• 18. The Combination of the Random-Fuzzy Variables
• 19. The Comparison of the Random-Fuzzy Variables
• 20. Measurement Uncertainty within Fuzzy Inference Systems
• Part V: Application examples
• 21. Phantom Power measurement
• 22. Characterization of a resistive voltage divider
• 23. Temperature measurement update
• 24. The Inverted Pendulum
• 25. Conclusion
• References
• Index.