A Comparative Study of Evidence Theories in the Modeling, Analysis, and Design of Engineering Systems

Rao, Singiresu S.; Annamdas, Kiran K.

doi:10.1115/1.4024229

Cited by 16 publications

(5 citation statements)

References 10 publications

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“…The D-S evidence theory, as introduced by Dempster [ 17 ] and then developed by Shafer [ 18 ], has emerged from their works on statistical inference and uncertain reasoning. This theory is widely applied to decision-making [ 31 , 50 , 51 ], information fusion [ 52 ] and uncertain information processing [ 53 ].…”

Section: Basic Concept Reviewedmentioning

confidence: 99%

Sensor Data Fusion with Z-Numbers and Its Application in Fault Diagnosis

Jiang

Xie

Zhuang

et al. 2016

Sensors

135

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Sensor data fusion technology is widely employed in fault diagnosis. The information in a sensor data fusion system is characterized by not only fuzziness, but also partial reliability. Uncertain information of sensors, including randomness, fuzziness, etc., has been extensively studied recently. However, the reliability of a sensor is often overlooked or cannot be analyzed adequately. A Z-number, Z = (A, B), can represent the fuzziness and the reliability of information simultaneously, where the first component A represents a fuzzy restriction on the values of uncertain variables and the second component B is a measure of the reliability of A. In order to model and process the uncertainties in a sensor data fusion system reasonably, in this paper, a novel method combining the Z-number and Dempster–Shafer (D-S) evidence theory is proposed, where the Z-number is used to model the fuzziness and reliability of the sensor data and the D-S evidence theory is used to fuse the uncertain information of Z-numbers. The main advantages of the proposed method are that it provides a more robust measure of reliability to the sensor data, and the complementary information of multi-sensors reduces the uncertainty of the fault recognition, thus enhancing the reliability of fault detection.

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Section: Basic Concept Reviewedmentioning

confidence: 99%

Sensor Data Fusion with Z-Numbers and Its Application in Fault Diagnosis

Jiang

Xie

Zhuang

et al. 2016

Sensors

135

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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. Let Y be a set of mutually exclusive and collectively exhaustive events, indicated by…”

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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“…The variables could be force, power, torque, material, surface finish, fillet radius, etc. (Rao et al, 2012;Rao & Annamdas, 2013;Vonta & Ram, 2018).…”

Section: Factor Of Safetymentioning

confidence: 99%

Probability of Failure for Fixed Offshore Structures Determination: An Analysis of a Braced Monopod and 4-Legged Platforms with Respect to Industry Standards

Mat Soom,

Mohamad,

Abu Husain

et al. 2024

JSCET

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The structural integrity is susceptible to a combination of statistical and engineering design uncertainties that may remain flexible as long as the structure can successfully manage the encountered load. There are many methods for determining the probability of failure (POF) in the oil and gas sector, but they all have particular constraints. Therefore, this study is a quantitative risk assessment to establish a more reliable method for calculating the POF value. This study chose and evaluated a sample of a braced monopod and 4 legged offshore structures for global non-linear analysis. The most reliable form of distribution was predetermined, and the appropriate integral equation was applied and computed based on the load and strength model conditions. The result of the testing of stress-strength interference for 12 directions and for 8 directions of wave impact in POF indicated that the platform remained intact and reliable compared to the L2 exposure level for the reliability target of POF recommended by ISO 19902, ISO 19901, and PETRONAS. Furthermore, this established that the applied integral equation provided a high degree of confidence in calculating the new POF. This newly created approach will enable the structural engineer to outline action items as part of the organisation’s risk management process.

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A Comparative Study of Evidence Theories in the Modeling, Analysis, and Design of Engineering Systems

Cited by 16 publications

References 10 publications

Sensor Data Fusion with Z-Numbers and Its Application in Fault Diagnosis

Sensor Data Fusion with Z-Numbers and Its Application in Fault Diagnosis

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

Probability of Failure for Fixed Offshore Structures Determination: An Analysis of a Braced Monopod and 4-Legged Platforms with Respect to Industry Standards

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