Computational aspects of fuzzy arithmetics based on Archimedean t-norms

  • Wagenknecht M
  • Hampel R
  • Schneider V
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Abstract

For fuzzy multiplication and division of (L, R)-numbers we derive approximation formulas by including the exact results using (L, R)-numbers. This permits an error control and meets user's ideas on tractable solutions better than the level sets approach does. As potential application the resolution of linear systems is considered. © 2001 Elsevier Science B.V. All rights reserved.

Author-supplied keywords

  • Archimedean t-norms
  • Basic arithmetic operations
  • Fuzzy numbers

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Authors

  • Michael Wagenknecht

  • Rainer Hampel

  • Veit Schneider

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