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Geometric Topology II
September 29 - October 5, 2002
Inter-University Center, Dubrovnik; Department of Mathematics, University of Zagreb
Dubrovnik, Croatia

Organizers
Ivan Ivansic, University of Zagreb;, James E. Keesling, University of Florida;, Alexander N. Dranishnikov, University of Florida;, Sime Ungar, University of Zagreb

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Operations in the Space of Fuzzy Numbers
by
Helen D. Robinson
Coventry University, Coventry, England

There are various ways to turn fuzzy-numbers into a metric space, and various ways to define arithmetic operations. Until recently interval arithmetic and the extension principle formed the basis for these, but a new approach (Ma, Kandel and Friedman) looks at fuzzy-numbers as pairs of functions. Since the ultimate goal is to apply this to control theory and modelling problems it is important to have operations and a metric which are both amenable to computation and model the situation. Restricting the fuzzy-numbers to trapezoidal fuzzy-numbers and using a different metric from the one proposed in the paper by Ma et al. offers a possibility which models the situation better than the extension principle but is easier for computation.

Date received: May 24, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caje-07.