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| A general approach for fuzzy reliability analysis based on the fuzzy probability theory |
| Revised:August 13, 2003 |
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| DOI：10.7511/jslx20053056 |
| KeyWord:membership function,fuzzy event probability,fuzzy reliability,expectation |
| DONG Yu-ge~ |
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| Abstract: |
| In the paper, an approach how to obtain membership function of fuzzy failure event from the known membership function of fuzzy information is discussed. Therefore, fuzzy reliability can be analyzed by utilizing the fuzzy probability theory, and the general and unified approach for analyzing fuzzy reliability is given. Also, concrete expressions of the determined membership function of the fuzzy failure event are given when strength is any one of common used fuzzy distributions, and the curve characteristic of the obtained membership function is analyzed. Because of the complexity of the obtained membership function, analytical formula for calculating probability of the fuzzy failure event cannot be obtained when fuzzy reliability is analyzed based on the fuzzy probability theory. For this reason, the probability of the fuzzy failure event is estimated by simulating expectation of the obtained membership function of the fuzzy failure event. The approach for analyzing fuzzy reliability discussed in the paper, which makes use of the fuzzy probability theory by determining the membership function of fuzzy event firstly, is of universal significance. |
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