Engineering design calculations with fuzzy parameters

Kristin L. Wood, Kevin N. Otto, Erik K. Antonsson*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

106 Citations (Scopus)

Abstract

Uncertainty in engineering analysis usually pertains to stochastic uncertainty, i.e., variance in product or process parameters characterized by probability (uncertainty in truth). Methods for calculating under stochastic uncertainty are well documented. It has been proposed by the authors that other forms of uncertainty exist in engineering design. Imprecision, or the concept of uncertainty in choice, is one such form. This paper considers real-time techniques for calculating with imprecise parameters. These techniques utilize interval mathematics and the notion of α-cuts from the fuzzy calculus. The extremes or anomalies of the techniques are also investigated, particularly the evaluation of singular or multi-valued functions. It is shown that realistic engineering functions can be used in imprecision calculations, with reasonable computational performance. © 1992.

Original languageEnglish
Pages (from-to)1-20
Number of pages20
JournalFuzzy Sets and Systems
Volume52
Issue number1
DOIs
Publication statusPublished - 25 Nov 1992
MoE publication typeA1 Journal article-refereed

Keywords

  • CAD/CAM
  • decision making
  • Engineering
  • engineering design
  • imprecision
  • management

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