Consideration of Rubust Design Methodology by Using Fuzzy Numbers

Masao Arakawa, Hiroshi Yamakawa, Ichiro Hagiwara

Research output: Contribution to journalArticlepeer-review


In this study, we will propose a new method of robust design, which is formulated by using fuzzy numbers as design variables and parameters. In the past robust design methodologies, especially by considering usage of optimization, their basic formulations have been done by using orthogonal arry and stochastic optimization. In those cases, they cannot handle the deviation in design variables of both sides of shape or their index for their width, because they are mainly based on normal distirbution. In this study, we will compare the formulation of fuzzy optimization and the conventional robust design methodologies and cralify the characteristics of the proposed method mainly from differences between formulations. Through those comparisons, we explain the benefit and suitability to robust design of the proposed method for settings of objective functions, treatments of constraints and benefit of design variables which can treat both sides of index for their imprecision. We demonstrate the effectiveness through a simple numerical example and compare the results with those they have done in stochastic optimization.

Original languageEnglish
Pages (from-to)1601-1608
Number of pages8
JournalNihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Issue number632
Publication statusPublished - 1999


  • Design Engineering
  • Fuzzy Number
  • Fuzzy Theory
  • Optimization
  • Robust Design

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