Conflict management in Dempster–Shafer theory using the degree of falsity

Schubert, Johan

doi:10.1016/j.ijar.2010.10.004

Cited by 118 publications

(55 citation statements)

References 20 publications

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“…This theory is widely applied to decision-making, [45][46][47][48][49] information fusion, 50 and uncertain information processing. 51 Definition 2.1.…”

Section: D-s Evidence Theorymentioning

confidence: 99%

A modified method for risk evaluation in failure modes and effects analysis of aircraft turbine rotor blades

Jiang

Xie

Wei

et al. 2016

Advances in Mechanical Engineering

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Failure mode and effects analysis is an important methodology, which has been extensively used to evaluate the potential failures, errors, or risks in a system, design, or process. The traditional method utilizes the risk priority number ranking system. This method determines the risk priority number by multiplying failure factor values. Dempster-Shafer evidence theory has been combined with failure mode and effects analysis due to its effectiveness in dealing with uncertain and subjective information. However, since the risk evaluation of different experts may be different and some even conflict with each other, Dempster's combination rule may become invalid. In this article, for better performance of application of evidence theory in failure mode and effects analysis, a modified method is proposed to reassign the basic believe assignment taking into consideration a reliability coefficient based on evidence distance. We illustrate several numerical examples and use the modified method to obtain the risk priority numbers for risk evaluation in failure modes of aircraft engine rotor blades. The results show that the proposed method is more reasonable and effective for real applications. KeywordsDempster-Shafer evidence theory, failure mode and effects analysis, risk priority number, basic believe assignments, reliability coefficient, aircraft turbine rotor blades Date

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“…This theory is widely applied to decision-making, [45][46][47][48][49] information fusion, 50 and uncertain information processing. 51 Definition 2.1.…”

Section: D-s Evidence Theorymentioning

confidence: 99%

A modified method for risk evaluation in failure modes and effects analysis of aircraft turbine rotor blades

Jiang

Xie

Wei

et al. 2016

Advances in Mechanical Engineering

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show abstract

“…It has extended the Dempster-Shafer theory [35,36]. DempsterShafer theory is with advantages to handle uncertain information [37,38,39,40,41,42,43,44], and is extensively used in many fields, such as risk assessment [45,46], expert systems [47,48], classification and clustering [49,50], parameter estimation [51], decision making [52,53,54], and so forth [55,56,57,58,59,60,61]. However, there are some weaknesses in DempsterShafer theory.…”

Section: Numbersmentioning

confidence: 99%

D-CFPR: D numbers extended consistent fuzzy preference relations

Deng

Chan

et al. 2015

Knowledge-Based Systems

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How to express an expert's or a decision maker's preference for alternatives is an open issue. Consistent fuzzy preference relation (CFPR) is with big advantages to handle this problem due to it can be construed via a smaller number of pairwise comparisons and satisfies additive transitivity property.However, the CFPR is incapable of dealing with the cases involving uncertain and incomplete information. In this paper, a D numbers extended consistent fuzzy preference relation (D-CFPR) is proposed to overcome the weakness.

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“…Remark 5: The sequential discounting approaches proposed in [19] 2 , [34], and [45], and based, respectively, on the degrees of dissent, falsity, and disagreement, can all be included in the present approach. For instance, if we associate p j i with the discounting rate used at step j in Schubert's [34] sequential discounting, then m[m H K j ] X is nothing else but the mass function on X obtained at step j in Schubert's scheme, showing that it is included in our approach.…”

Section: B Partially Relevant Sourcesmentioning

confidence: 99%

“…For instance, if we associate p j i with the discounting rate used at step j in Schubert's [34] sequential discounting, then m[m H K j ] X is nothing else but the mass function on X obtained at step j in Schubert's scheme, showing that it is included in our approach.…”

Section: B Partially Relevant Sourcesmentioning

confidence: 99%

A Consistency-Specificity Trade-Off to Select Source Behavior in Information Fusion

Pichon

Destercke

Bürger

2015

IEEE Trans. Cybern.

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Combining pieces of information provided by several sources without or with little prior knowledge about the behavior of the sources is an old yet still important and rather open problem in the belief function theory. In this paper, we propose an approach to select the behavior of sources based on a very general and expressive fusion scheme, that has the important advantage of making clear the assumptions made about the sources. The selection process itself relies on two cornerstones that are the notions of specificity and consistency of a knowledge representation, and that we adapt to the considered fusion scheme. We illustrate our proposal on different examples and show that the proposed approach actually encompasses some important existing fusion strategies.

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Conflict management in Dempster–Shafer theory using the degree of falsity

Cited by 118 publications

References 20 publications

A modified method for risk evaluation in failure modes and effects analysis of aircraft turbine rotor blades

A modified method for risk evaluation in failure modes and effects analysis of aircraft turbine rotor blades

D-CFPR: D numbers extended consistent fuzzy preference relations

A Consistency-Specificity Trade-Off to Select Source Behavior in Information Fusion

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