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  • 标题:Numerical Solution of Uncertain Beam Equations Using Double Parametric Form of Fuzzy Numbers
  • 本地全文:下载
  • 作者:Smita Tapaswini ; S. Chakraverty
  • 期刊名称:Applied Computational Intelligence and Soft Computing
  • 印刷版ISSN:1687-9724
  • 电子版ISSN:1687-9732
  • 出版年度:2013
  • 卷号:2013
  • 页码:1-8
  • DOI:10.1155/2013/764871
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    Present paper proposes a new technique to solve uncertain beam equation using double parametric form of fuzzy numbers. Uncertainties appearing in the initial conditions are taken in terms of triangular fuzzy number. Using the single parametric form, the fuzzy beam equation is converted first to an interval-based fuzzy differential equation. Next, this differential equation is transformed to crisp form by applying double parametric form of fuzzy number. Finally, the same is solved by homotopy perturbation method (HPM) to obtain the uncertain responses subject to unit step and impulse loads. Obtained results are depicted in terms of plots to show the efficiency and powerfulness of the methodology.

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