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PLEASE NOTE: The Publications System provided by the Manufacturing Systems Integration Division (MSID) has moved to: http://www.mel.nist.gov/msidlibrary/publications.html. The pages below are maintained for archival purposes only.
Publication summary
Author(s): Ronald Giachetti
Publication date: June 1997
Citation: Ronald Giachetti: "Evaluating Engineering Functions Over Imprecise Quantities," Proceedings of 7th International Fuzzy Systems Association Congress,Prague, Czech Republic, June 25-29, 1997.
Key words: fuzzy arithmetic, fuzzy equations, fuzzy numbers, intervals, Manufacturability
Availability:
- A paper copy of this document is available by contacting Kristy Thompson [web,email]
Abstract:
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There is an increase awareness of the benefits of modeling imprecision in engineering
problems, but success is limited by two problems associated with the calculus
of imprecision: (1)Solving equations for a variable is difficult because the common
operators of addition and multiplication lack tru inverses. (2)The multiple
occurrence of imprecise quantities in engineering functions leads to incorrectly
very imprecise results because each occurrence of the vairable is treated as a
seperate variable with the same variable. Results obtained in the area of
interval analysis are extended to the area of the calculus of imprecision. New
operators are defined for functions of imprecision. New operators are defined
for functions of imprecision. New operators are defined for functions of imprecise
quantities that alleviate these two obstacles, and thus provide a general framework
for including imprecision directly in engineering calculations.
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