Measuring Uncertainty within the Theory of Evidence (Springer Series in Measurement Science and Technology)
暫譯: 在證據理論中測量不確定性(斯普林格測量科學與技術系列)
Simona Salicone, Marco Prioli
- 出版商: Springer
- 出版日期: 2018-05-07
- 售價: $5,260
- 貴賓價: 9.5 折 $4,997
- 語言: 英文
- 頁數: 330
- 裝訂: Hardcover
- ISBN: 3319741373
- ISBN-13: 9783319741376
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商品描述
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’s Measurement Uncertainty: An Approach via the Mathematical Theory of Evidence, the material covers further developments of the Random Fuzzy Variable (RFV) approach to uncertainty and provides a more robust mathematical and metrological background to the combination of measurement results that leads to a more effective RFV combination method.
While the first part of the book introduces measurement uncertainty, the Theory of Evidence, and fuzzy sets, the following parts bring together these concepts and derive an effective methodology for the evaluation and expression of measurement uncertainty. A supplementary downloadable program allows the readers to interact with the proposed approach by generating and combining RFVs through custom measurement functions. With numerous examples of applications, this book provides a comprehensive treatment of the RFV approach to uncertainty that is suitable for any graduate student or researcher with interests in the measurement field.
商品描述(中文翻譯)
這本專著考慮了在證據理論的數學框架內評估和表達測量不確定性。以全新的計量科學視角,該文本為廣泛領域的創新應用鋪平了道路。基於Simona Salicone的《測量不確定性:通過證據數學理論的方法》,本書涵蓋了隨機模糊變量(Random Fuzzy Variable, RFV)方法在不確定性方面的進一步發展,並提供了更為穩健的數學和計量背景,以便結合測量結果,從而導致更有效的RFV結合方法。
本書的第一部分介紹了測量不確定性、證據理論和模糊集,隨後的部分將這些概念結合起來,推導出一種有效的測量不確定性評估和表達方法。一個可下載的補充程式允許讀者通過自定義測量函數生成和結合RFV,與所提出的方法進行互動。通過眾多應用示例,本書對RFV方法在不確定性方面的全面處理,適合任何對測量領域感興趣的研究生或研究人員。