Journal
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING
Volume 43, Issue 2, Pages 166-178Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ijar.2006.04.001
Keywords
generalized LR fuzzy number; value; ambiguity
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We propose a new approach to assigning distance between fuzzy numbers. A pseudo-metric on the set of fuzzy numbers and a metric on the set of trapezoidal fuzzy numbers are described. The regular reducing functions and the Hausdorff metric are used to define the metric. Using this metric, we can approximate an arbitrary generalized left right fuzzy number with a trapezoidal one. Finally, powers and multiplication of trapezoidal fuzzy numbers are approximated. (C) 2006 Elsevier Inc. All rights reserved.
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