Interdependence between safety-control policy and multiple-sensor schemes via Dempster-Shafer theory

Inagaki, Toshiyuki

doi:10.1109/24.87125

Cited by 157 publications

(77 citation statements)

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“…In addition, they provide an example for the determination of k and the resulting affect on m for monitoring systems [Tanaka and Klir, 1999]. In [Inagaki, 1991], Inagaki poses the optimization problem for the selection of k to be an open and critical research question. Despite this, Inagaki discusses the rules in the context of an application where he demonstrates the values of Belief and Plausibility as a function of k and the implications on the choice of a safety control policy.…”

Section: 24: Inagaki's Unified Combination Rulementioning

confidence: 99%

“…As a result of this restriction and its implication, Inagaki's rule applies only to the situations where there is no information regarding the credibility or reliability of the sources. [Inagaki, 1991] From the general expression (Equation 25) and the restriction (Equation 26) and the definition of k (Equation 28), Inagaki derives his unified combination rule denoted by m…”

Section: 24: Inagaki's Unified Combination Rulementioning

confidence: 99%

“…[Inagaki, 1991] Inagaki takes advantage of the ground probability assignment function (q) that Yager defined in [Yager, 1987a] to define a continuous parametrized class of combination operations which subsumes both Dempster's rule and Yager's rule. Specifically, Inagaki argues that every combination rule can be expressed as:…”

Section: 24: Inagaki's Unified Combination Rulementioning

confidence: 99%

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Combination of Evidence in Dempster-Shafer Theory

Sentz¹,

Ferson²

2002

786

564

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Dempster-Shafer theory offers an alternative to traditional probabilistic theory for the mathematical representation of uncertainty. The significant innovation of this framework is that it allows for the allocation of a probability mass to sets or intervals. DempsterShafer theory does not require an assumption regarding the probability of the individual constituents of the set or interval. This is a potentially valuable tool for the evaluation of risk and reliability in engineering applications when it is not possible to obtain a precise measurement from experiments, or when knowledge is obtained from expert elicitation. An important aspect of this theory is the combination of evidence obtained from multiple sources and the modeling of conflict between them. This report surveys a number of possible combination rules for Dempster-Shafer structures and provides examples of the implementation of these rules for discrete and interval-valued data. 4 ACKNOWLEDGEMENTS

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Section: 24: Inagaki's Unified Combination Rulementioning

confidence: 99%

Section: 24: Inagaki's Unified Combination Rulementioning

confidence: 99%

Section: 24: Inagaki's Unified Combination Rulementioning

confidence: 99%

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Combination of Evidence in Dempster-Shafer Theory

Sentz¹,

Ferson²

2002

786

564

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“…Many alternatives to this combination rule have been proposed in response to these two issues. To address "conflict" and "normalization", various techniques including Yager (1987), Smets (1990), Inagaki (1991, Dubois and Prade (1992), Zhang (1994), Murphy (2000), and more recently by Dezert and Smarandache (2004) have been proposed. Marashi and Davis (2006) have also proposed an extension of D-S rule to deal with the problem of "dependence" using t-norm based combination rule.…”

Section: Discussionmentioning

confidence: 99%

Condition Assessment of Buried Pipes Using Hierarchical Evidential Reasoning Model

Bai

Sadiq

Najjaran

et al. 2008

J. Comput. Civ. Eng.

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/npsi/ctrl?lang=en http://nparc.cisti-icist.nrc-cnrc.gc.ca/npsi/ctrl?lang=fr Access and use of this website and the material on it are subject to the Terms and Conditions set forth at http://nparc.cisti-icist.nrc-cnrc.gc.ca/npsi/jsp/nparc_cp.jsp?lang=en NRC Publications Archive Archives des publications du CNRCThis publication could be one of several versions: author's original, accepted manuscript or the publisher's version. / La version de cette publication peut être l'une des suivantes : la version prépublication de l'auteur, la version acceptée du manuscrit ou la version de l'éditeur. For the publisher's version, please access the DOI link below./ Pour consulter la version de l'éditeur, utilisez le lien DOI ci-dessous.http://dx.doi.org/10.1061/(ASCE) 0887-3801(2008)22:2(114) Journal of Computing in Civil Engineering, 22, 2, pp. 114-122, 2008-03-01 Condition assessment of buried pipes using hierarchical evidential reasoning model Hua, B.; Sadiq, R.; Najjaran, H.; Rajani, B. B.http://irc.nrc-cnrc.gc.ca Condition assessment of buried pipes using hierarchical evidential reasoning model NRCC-48714Bai, H.; Sadiq, R.; Najjaran, H.; Rajani, B. The material in this document is covered by the provisions of the Copyright Act, by Canadian laws, policies, regulations and international agreements. Such provisions serve to identify the information source and, in specific instances, to prohibit reproduction of materials without written permission. For more information visit http://laws.justice.gc.ca/en/showtdm/cs/C-42Les renseignements dans ce document sont protégés par la Loi sur le droit d'auteur, par les lois, les politiques et les règlements du Canada et des accords internationaux. Ces dispositions permettent d'identifier la source de l'information et, dans certains cas, d'interdire la copie de documents sans permission écrite. Pour obtenir de plus amples renseignements : http://lois.justice.gc.ca/fr/showtdm/cs/C-42 Condition Assessment of Buried Pipes using Hierarchical Evidential Reasoning (HER) ModelHua Bai, Rehan Sadiq, Homayoun Najjaran, Balvant Rajani Abstract: Effective inspection and monitoring practices for the condition assessment of pipes ensure better decision(s) for repair or replacement before they fail. Pipe deterioration is a physical manifestation of the aging process in which many factors can contribute to structural failure. Various technologies/ techniques have been developed during the last few years to inspect/monitor piping systems, but how to intelligently interpret the collected data remains a challenge.In this paper, a new approach based on hierarchical evidential reasoning (HER) is proposed.This approach uses Dempster-Shafer (D-S) theory to make inferences for condition assessment of buried pipes. A hierarchical evidential reasoning model can help combine different distress indicators (bodies of evidence) at different hierarchical levels using D-S rule of combination.The proposed hierarchical evidential reasoning method is demonstrated with an example of condition assessment for a large ...

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“…This means that Yager's rule is very cautious rule. d) Inagaki's unified combination rule [6]. This rule is determinated with help of set function ( ) q A that used Yager [19] in (3) and nonnegative parameter k :…”

Section: Combining Rules In Dempster-shafer Theorymentioning

confidence: 99%

About Relation between the Measure of Conflict and Decreasing of Ignorance in Theory of Evidence

Lepskiy¹

2013

Proceedings of the 8th Conference of the European Society for Fuzzy Logic and Technology

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There is a problem of applying of combining rules to evidence which were got from different information sources in framework of Dempster-Shafer theory. In this work the conflict measure and index of decreasing of ignorance in frame of Dempster-Shafer theory are introduced for characterization of quality of applied combining rules. Those functionals are analyzed on the bodies of evidences of special type. It is shown that the great correlation between the bodies of evidence is a sufficient condition of decreasing of ignorance after the applying of combining rule. The relationships between the measure of conflict and the index of decreasing of ignorance in the case of different types of evidences and actions of various combining rules are investigated.

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Interdependence between safety-control policy and multiple-sensor schemes via Dempster-Shafer theory

Cited by 157 publications

References 5 publications

Combination of Evidence in Dempster-Shafer Theory

Combination of Evidence in Dempster-Shafer Theory

Condition Assessment of Buried Pipes Using Hierarchical Evidential Reasoning Model

About Relation between the Measure of Conflict and Decreasing of Ignorance in Theory of Evidence

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