Research in Engineering Design

, Volume 1, Issue 3, pp 187–203

Representing imprecision in engineering design: Comparing fuzzy and probability calculus

Authors

  • Kristin L. Wood
    • Department of Mechanical EngineeringUniversity of Texas
  • Erik K. Antonsson
    • Division of Engineering and Applied Science, 104–44California Institute of Technology
  • James L. Beck
    • Division of Engineering and Applied Science, 104–44California Institute of Technology
Article

DOI: 10.1007/BF01581211

Cite this article as:
Wood, K.L., Antonsson, E.K. & Beck, J.L. Research in Engineering Design (1990) 1: 187. doi:10.1007/BF01581211

Abstract

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.

Copyright information

© Springer-Verlag New York Inc. 1990