2014
DOI: 10.1007/978-3-319-07013-1_24
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Quantification of Temporal Fault Trees Based on Fuzzy Set Theory

Abstract: Fault tree analysis (FTA) has been modified in different ways to make it capable of performing quantitative and qualitative safety analysis with temporal gates, thereby overcoming its limitation in capturing sequential failure behaviour. However, for many systems, it is often very difficult to have exact failure rates of components due to increased complexity of systems, scarcity of necessary statistical data etc. To overcome this problem, this paper presents a methodology based on fuzzy set theory to quantify… Show more

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Cited by 10 publications
(11 citation statements)
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“…theory, membership can take any value between 0 and 1 that reflects certain degrees of membership and there is no practical limit on the choice of fuzzy membership values (Hansen, 2005;Lee, 2007;Kabir et al, 2014;Ghosh et al, 2012). The Fuzzy Logic method creates more flexible compositions of weighted maps and can be easily implemented with GIS modeling language (Lee, 2007).…”
Section: Methodsmentioning
confidence: 99%
“…theory, membership can take any value between 0 and 1 that reflects certain degrees of membership and there is no practical limit on the choice of fuzzy membership values (Hansen, 2005;Lee, 2007;Kabir et al, 2014;Ghosh et al, 2012). The Fuzzy Logic method creates more flexible compositions of weighted maps and can be easily implemented with GIS modeling language (Lee, 2007).…”
Section: Methodsmentioning
confidence: 99%
“…(Li, Huang, Liu, Xiao, & Li, 2012;Li, Mi, Liu, Yang, & Huang, 2015;Verma, Srividya, Prabhudeva, & Vinod, 2006;Yang, 2011)) and temporal fault trees (e.g. (Kabir, Edifor, Walker, & Gordon, 2014;Kabir, Walker, Papadopoulos, Rüde, & Securius, 2016)).…”
Section: Fuzzy Fault Treesmentioning
confidence: 99%
“…where P(TE) is the TE's occurrence probability. To address the uncertainty associated with the failure data and system behaviour, fuzzy set theory has been used by several researchers such as (Halloul et al, 2019;Shi et al, 2014;Tanaka et al, 1983;Kabir et al, 2016;Yuhua and Datao, 2005;Markowski et al, 2009;Kabir et al, 2014a). It is worthwhile noting that, FT software often use"rare event approximation" i.e.…”
Section: Fault Tree Analysismentioning
confidence: 99%