Applying fuzzy GERT with approximate fuzzy arithmetic based on the weakest t-norm operations to evaluate repairable reliability

Lin, Kuo-Ping; Wen, Wang; Chou, Chang-Chien; Jen, C.-L.; Hung, Kuo-Chen

doi:10.1016/j.apm.2011.04.022

Cited by 41 publications

(20 citation statements)

References 21 publications

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“…Graphical evaluation and review technique (GERT) is a popular graphical tool to analyze reliability of complex systems because it can easily analyze stochastic networks with logical nodes and directed branches [14,15]. GERT can handle "Inclusive-OR Node" as well as "And Node".…”

Section: Fig 1 Assessing the In Uence Of The Input Distribution On Tmentioning

confidence: 99%

Multi-parameters uncertainty analysis of logistic support process based on GERT

Pan

Kang

et al. 2014

J. of Syst. Eng. Electron.

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The uncertainty analysis is an effective sensitivity analysis method for system model analysis and optimization. However, the existing single-factor uncertainty analysis methods are not well used in the logistic support systems with multiple decision-making factors. The multiple transfer parameters graphical evaluation and review technique (MTP-GERT) is used to model the logistic support process in consideration of two important factors, support activity time and support activity resources, which are two primary causes for the logistic support process uncertainty. On this basis, a global sensitivity analysis (GSA) method based on covariance is designed to analyze the logistic support process uncertainty. The aircraft support process is selected as a case application which illustrates the validity of the proposed method to analyze the support process uncertainty, and some feasible recommendations are proposed for aircraft support decision making on carrier.

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Section: Fig 1 Assessing the In Uence Of The Input Distribution On Tmentioning

confidence: 99%

Multi-parameters uncertainty analysis of logistic support process based on GERT

Pan

Kang

et al. 2014

J. of Syst. Eng. Electron.

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“…T u operations give more accurate results by reducing fuzzy spreads under uncertainty (Hong and Do, 1997;Lin et al, 2010Lin et al, , 2011a.…”

Section: Introductionmentioning

confidence: 98%

Fuzzy reliability analysis of dual-fuel steam turbine propulsion system in LNG carriers considering data uncertainty

Komal

Chang

Lee

2015

Journal of Natural Gas Science and Engineering

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“…They have also developed FTA using intuitionistic fuzzy set theory in [39]- [41]. Other researchers [42], [43] have also developed FTA approaches using IFS theory.…”

Section: Introductionmentioning

confidence: 99%

A Method for Temporal Fault Tree Analysis Using Intuitionistic Fuzzy Set and Expert Elicitation

et al. 2020

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Temporal fault trees (TFTs), an extension of classical Boolean fault trees, can model timedependent failure behaviour of dynamic systems. The methodologies used for quantitative analysis of TFTs include algebraic solutions, Petri nets (PN), and Bayesian networks (BN). In these approaches, precise failure data of components are usually used to calculate the probability of the top event of a TFT. However, it can be problematic to obtain these precise data due to the imprecise and incomplete information about the components of a system. In this paper, we propose a framework that combines intuitionistic fuzzy set theory and expert elicitation to enable quantitative analysis of TFTs of dynamic systems with uncertain data. Experts' opinions are taken into account to compute the failure probability of the basic events of the TFT as intuitionistic fuzzy numbers. Subsequently, for the algebraic approach, the intuitionistic fuzzy operators for the logic gates of TFT are defined to quantify the TFT. On the other hand, for the quantification of TFTs via PN and BN-based approaches, the intuitionistic fuzzy numbers are defuzzified to be used in these approaches. As a result, the framework can be used with all the currently available TFT analysis approaches. The effectiveness of the proposed framework is illustrated via application to a practical system and through a comparison of the results of each approach. INDEX TERMS Fault tree analysis, reliability analysis, fuzzy set, intuitionistic fuzzy set theory, expert judgement, temporal fault trees.

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Applying fuzzy GERT with approximate fuzzy arithmetic based on the weakest t-norm operations to evaluate repairable reliability

Cited by 41 publications

References 21 publications

Multi-parameters uncertainty analysis of logistic support process based on GERT

Multi-parameters uncertainty analysis of logistic support process based on GERT

Fuzzy reliability analysis of dual-fuel steam turbine propulsion system in LNG carriers considering data uncertainty

A Method for Temporal Fault Tree Analysis Using Intuitionistic Fuzzy Set and Expert Elicitation

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