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Representing Imprecision in Engineering Design - Comparing Fuzzy and Probability Calculus

Wood, Kristin L. and Antonsson, Erik K. and Beck, James L. (1990) Representing Imprecision in Engineering Design - Comparing Fuzzy and Probability Calculus. Research in Engineering Design, 1 (3-4). pp. 187-203. ISSN 0934-9839. doi:10.1007/BF01581211.

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A technique to perform design calculations on imprecise representations of parameters using the calculus of fuzzy sets has been previously developed [25]. An analogous approach to representing and manipulatinguncertainty in choosing among alternatives (design imprecision) using probability calculus is presented and compared with the fuzzy calculus technique. Examples using both approaches are presented, where the examples represent a progression from simple operations to more complex design equations. Results of the fuzzy sets and probability methods for the examples are shown graphically. We find that the fuzzy calculus is well suited to representing and manipulating the imprecision aspect of uncertainty in design, and that probability is best used to represent stochastic uncertainty.

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Additional Information:© 1990 Springer-Verlag New York Inc.
Issue or Number:3-4
Record Number:CaltechAUTHORS:20120830-154129133
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:33730
Deposited By: Carmen Nemer-Sirois
Deposited On:05 Sep 2012 23:47
Last Modified:09 Nov 2021 21:36

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