In our previous work, we study fuzzy Itôintegrals driven by a fuzzy Brownian motion. In this article, we continue this study. The purpose of this paper is to study the weak uniqueness of fuzzy stochastic diff...In our previous work, we study fuzzy Itôintegrals driven by a fuzzy Brownian motion. In this article, we continue this study. The purpose of this paper is to study the weak uniqueness of fuzzy stochastic differential equations taking into account fuzzy Brownian motion. For instance, we construct the fuzzy stochastic differential equation driven by a fuzzy Brownian motion. To define and prove our results, we use the fuzzification, the alpha cut method and the Hausdorff distance between two fuzzy quantities. Some results are to our credit in this article like the instance, we construct the fuzzy stochastic differrential equation driven by fuzzy Brownian motion. Furthermore, we develop fuzzy Itôcalculus driven by a fuzzy Brownian motion. Our result complement existing ones in that the fuzzy version of Brownian motion is taken into account.展开更多
The earthquake loads specified for the aseismic structure design depend mainly on the predicted seismic intensity and the site soil classification.Earthquake excitation not only has evident randomness but also has str...The earthquake loads specified for the aseismic structure design depend mainly on the predicted seismic intensity and the site soil classification.Earthquake excitation not only has evident randomness but also has strong fuzziness owing to the imprecision in the definition and evaluation norms of seismic intensity and site soil classification.A realistic analysis and design of structural systems subjected to such earthquake excitations must account for the uncertainty arising from both randomness and fuzziness simultaneously in a consistent and rational manner.In this paper,the models of stationary and nonstationary filtered white noise fuzzy stochastic processes of the earthquake ground motion are set up.And then the analysis methods for fuzzy random seismic response of single degree of freedom and multi degree of freedom systems are put forward by the theory of fuzzy stochastic dynamical systems(Zhang,1991;Zhang and Wang,1993).展开更多
文摘In our previous work, we study fuzzy Itôintegrals driven by a fuzzy Brownian motion. In this article, we continue this study. The purpose of this paper is to study the weak uniqueness of fuzzy stochastic differential equations taking into account fuzzy Brownian motion. For instance, we construct the fuzzy stochastic differential equation driven by a fuzzy Brownian motion. To define and prove our results, we use the fuzzification, the alpha cut method and the Hausdorff distance between two fuzzy quantities. Some results are to our credit in this article like the instance, we construct the fuzzy stochastic differrential equation driven by fuzzy Brownian motion. Furthermore, we develop fuzzy Itôcalculus driven by a fuzzy Brownian motion. Our result complement existing ones in that the fuzzy version of Brownian motion is taken into account.
文摘The earthquake loads specified for the aseismic structure design depend mainly on the predicted seismic intensity and the site soil classification.Earthquake excitation not only has evident randomness but also has strong fuzziness owing to the imprecision in the definition and evaluation norms of seismic intensity and site soil classification.A realistic analysis and design of structural systems subjected to such earthquake excitations must account for the uncertainty arising from both randomness and fuzziness simultaneously in a consistent and rational manner.In this paper,the models of stationary and nonstationary filtered white noise fuzzy stochastic processes of the earthquake ground motion are set up.And then the analysis methods for fuzzy random seismic response of single degree of freedom and multi degree of freedom systems are put forward by the theory of fuzzy stochastic dynamical systems(Zhang,1991;Zhang and Wang,1993).
