NDLI: Robust Design Concept in Possibility Theory and Optimization for System With Both Random and Fuzzy Input Variables

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Du, Liu Kyung, K. Choi Lee, Ikjin
Copyright Year	2007
Abstract	Whereas the robust design concept has been well established in the probability theory, it has not been developed in the possibility theory. For problems where accurate statistical information for input data is not available, a possibility-based (or fuzzy set) robust design concept is proposed in this paper by investigating the similarity between the membership function of the fuzzy variable and the cumulative distribution function of the random variable. Based on the probability-possibility consistency principle, a random variable that corresponds to the fuzzy variable is introduced in this paper in order to define the robust design concept for the fuzzy variable. For the system with input fuzzy variables, the robustness measure of the output performance is computed using the performance measure integration (PMI) method, while the integration points are obtained from the inverse possibility analysis by using the maximal possibility search method with interpolation (MPS). For the system with mixed random and fuzzy input variables, the robustness measure of the output performance is computed using PMI method, with the integration points obtained from the inverse mixed analysis by using the maximal failure search method (MFS). A new mixed (random and fuzzy) variable robust design optimization (MVRDO) method is proposed and several numerical examples are used to verify the robust design concept in the possibility theory and the MVRDO formulation.
Sponsorship	Design Engineering Division and Computers and Information in Engineering Division
Starting Page	1183
Ending Page	1193
Page Count	11
File Format	PDF
ISBN	0791848078
DOI	10.1115/DETC2007-35106
e-ISBN	0791838064
Volume Number	Volume 6: 33rd Design Automation Conference, Parts A and B
Conference Proceedings	ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Language	English
Publisher Date	2007-09-04
Publisher Place	Las Vegas, Nevada, USA
Access Restriction	Subscribed
Subject Keyword	Robustness measure Possibility theory Mixed variable robust design optimization Robustness analysis Design Optimization Robustness
Content Type	Text
Resource Type	Article

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