Bayesian approach for inconsistent information

verfasst von

M. Stein, M. Beer, V. Kreinovich

Abstract

In engineering situations, we usually have a large amount of prior knowledge that needs to be taken into account when processing data. Traditionally, the Bayesian approach is used to process data in the presence of prior knowledge. Sometimes, when we apply the traditional Bayesian techniques to engineering data, we get inconsistencies between the data and prior knowledge. These inconsistencies are usually caused by the fact that in the traditional approach, we assume that we know the exact sample values, that the prior distribution is exactly known, etc. In reality, the data is imprecise due to measurement errors, the prior knowledge is only approximately known, etc. So, a natural way to deal with the seemingly inconsistent information is to take this imprecision into account in the Bayesian approach - e.g., by using fuzzy techniques. In this paper, we describe several possible scenarios for fuzzifying the Bayesian approach. Particular attention is paid to the interaction between the estimated imprecise parameters. In this paper, to implement the corresponding fuzzy versions of the Bayesian formulas, we use straightforward computations of the related expression - which makes our computations reasonably time-consuming. Computations in the traditional (non-fuzzy) Bayesian approach are much faster - because they use algorithmically efficient reformulations of the Bayesian formulas. We expect that similar reformulations of the fuzzy Bayesian formulas will also drastically decrease the computation time and thus, enhance the practical use of the proposed methods.

Externe Organisation(en)

The University of Liverpool
University of Texas at El Paso
Bechtel OG&C Offshore

Typ

Artikel

Journal

Information Sciences

Band

245

Seiten

96-111

Anzahl der Seiten

16

ISSN

0020-0255

Publikationsdatum

01.10.2013

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Software, Steuerungs- und Systemtechnik, Theoretische Informatik, Angewandte Informatik, Informationssysteme und -management, Artificial intelligence

Elektronische Version(en)

https://europepmc.org/article/PMC/3786189 (Zugang: Offen)
https://doi.org/10.1016/j.ins.2013.02.024 (Zugang: Geschlossen)