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Fuzzy stochastic variable and variational principle

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Abstract

In this paper, the peaky fuzzy stochastic variable and its mean of real value were proposed based on the concept of fuzzy probability. Fuzziness and randomness were introduced into the functional of overall potential energy. So the fuzzy stochastic variational principle and its application were presented by means of perturbation method.

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References

  1. Yang Lufeng.Fuzzy Stochastic Finite Element Method and Its Application [D] Dissertation of Doctor's degree Wuhan: Wuhan University of Technology, 1998, (in Chinese)

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  2. Li Guiqing et al.Theory of Structural Dynamic Reliability and Its Application [M]. Beijing: Earthquake Press, 1993. (in Chinese)

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Communicated by Zhou Huanwen

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Lufeng, Y., Guiqing, L. Fuzzy stochastic variable and variational principle. Appl Math Mech 20, 795–800 (1999). https://doi.org/10.1007/BF02454902

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  • DOI: https://doi.org/10.1007/BF02454902

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