International audience
Université Toulouse III - Paul Sabatier
ORCID: 0000-0002-6505-2536Publishes on Multi-Criteria Decision Making, Logic, Reasoning, and Knowledge, Bayesian Modeling and Causal Inference. 1.1k papers and 45.1k citations.
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A fuzzy number is a fuzzy subset of the real line whose highest membership values are clustered around a given real number called the mean value ; the membership function is monotonia on both sides of this mean value. In this paper, the usual algebraic operations on real numbers are extended to fuzzy numbers by the use of a fuzzification principle. The practical use of fuzzified operations is shown to be easy, requiring no more computation than when dealing with error intervals in classic tolerance analysis. The field of applications of this approach seems to be large, since it allows many known algorithms to be fitted to fuzzy data.