How to Gauge a Combination of Uncertainties of Different Type: General Foundations

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  • University of Texas at El Paso
  • Banking University of Ho Chi Minh City
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Details

Original languageEnglish
Title of host publicationBehavioral Predictive Modeling in Economics
PublisherSpringer Nature Switzerland AG
Pages195-201
Number of pages7
ISBN (Electronic)978-3-030-49728-6
ISBN (Print)978-3-030-49727-9
Publication statusPublished - 6 Aug 2020

Publication series

NameStudies in Computational Intelligence
Volume897
ISSN (Print)1860-949X
ISSN (Electronic)1860-9503

Abstract

In many practical situations, for some components of the uncertainty (e.g., of the measurement error) we know the corresponding probability distribution, while for other components, we know only upper bound on the corresponding values. To decide which of the algorithms or techniques leads to less uncertainty, we need to be able to gauge the combined uncertainty by a single numerical value—so that we can select the algorithm for which this values is the best. There exist several techniques for gauging the combination of interval and probabilistic uncertainty. In this paper, we consider the problem of gauging the combination of different types of uncertainty from the general fundamental viewpoint. As a result, we develop a general formula for such gauging—a formula whose particular cases include the currently used techniques.

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Cite this

How to Gauge a Combination of Uncertainties of Different Type: General Foundations. / Neumann, Ingo; Kreinovich, Vladik; Nguyen, Thach Ngoc.
Behavioral Predictive Modeling in Economics. Springer Nature Switzerland AG, 2020. p. 195-201 (Studies in Computational Intelligence; Vol. 897).

Research output: Chapter in book/report/conference proceedingContribution to book/anthologyResearchpeer review

Neumann, I, Kreinovich, V & Nguyen, TN 2020, How to Gauge a Combination of Uncertainties of Different Type: General Foundations. in Behavioral Predictive Modeling in Economics. Studies in Computational Intelligence, vol. 897, Springer Nature Switzerland AG, pp. 195-201. https://doi.org/10.1007/978-3-030-49728-6_13
Neumann, I., Kreinovich, V., & Nguyen, T. N. (2020). How to Gauge a Combination of Uncertainties of Different Type: General Foundations. In Behavioral Predictive Modeling in Economics (pp. 195-201). (Studies in Computational Intelligence; Vol. 897). Springer Nature Switzerland AG. https://doi.org/10.1007/978-3-030-49728-6_13
Neumann I, Kreinovich V, Nguyen TN. How to Gauge a Combination of Uncertainties of Different Type: General Foundations. In Behavioral Predictive Modeling in Economics. Springer Nature Switzerland AG. 2020. p. 195-201. (Studies in Computational Intelligence). doi: 10.1007/978-3-030-49728-6_13
Neumann, Ingo ; Kreinovich, Vladik ; Nguyen, Thach Ngoc. / How to Gauge a Combination of Uncertainties of Different Type : General Foundations. Behavioral Predictive Modeling in Economics. Springer Nature Switzerland AG, 2020. pp. 195-201 (Studies in Computational Intelligence).
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