1994
DOI: 10.1016/0165-0114(94)90330-1
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Fuzzy system reliability analysis for components with different membership functions

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Cited by 120 publications
(55 citation statements)
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“…Hong and Do [23] utilized T ω (the weakest t-norm)-based addition and multiplication while Fuh et al [24] used level ( ,1) interval-valued fuzzy numbers to examine the fuzzy reliability of the system. Mon and Cheng [25] considered different types of fuzzy membership functions and nonlinear programming approach to analyze the fuzzy reliability of a nonrepairable sump-pump system. Huang et al [26] proposed posbist FTA method for the situation when historical data are scarce or the failure probability is extremely small.…”
Section: Introductionmentioning
confidence: 99%
“…Hong and Do [23] utilized T ω (the weakest t-norm)-based addition and multiplication while Fuh et al [24] used level ( ,1) interval-valued fuzzy numbers to examine the fuzzy reliability of the system. Mon and Cheng [25] considered different types of fuzzy membership functions and nonlinear programming approach to analyze the fuzzy reliability of a nonrepairable sump-pump system. Huang et al [26] proposed posbist FTA method for the situation when historical data are scarce or the failure probability is extremely small.…”
Section: Introductionmentioning
confidence: 99%
“…In order to handle the insufficient information, the fuzzy approach is used to evaluate the failure rate status. A great deal of literature works [2,21,22,24] has been carried out in fuzzy reliable analysis.…”
Section: Introductionmentioning
confidence: 99%
“…To handle the inevitably imprecise failure information in diversified real applications, many studies have taken uncertain situations into consideration. The fuzzy set theory has proven to be effective for solving the problems when there are no regular boundaries and precise values (Liang and Wang, 1993;Mon and Cheng, 1994). Therefore, it is applied to the reliability analysis and system safety to estimate the failure probabilities of basic events.…”
Section: Fuzzy Fault Tree Analysismentioning
confidence: 99%