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Algorithms for trapezoidal approximations of fuzzy numbers preserving the expected interval. (English) Zbl 1196.03074

Bouchon-Meunier, B. (ed.) et al., Foundations of reasoning under uncertainty. Papers based on the presentations at the 2008 conference on information processing and management of uncertainty (IPMU), Málaga, Spain, June 22–27, 2008. Berlin: Springer (ISBN 978-3-642-10726-9/hbk; 978-3-642-10728-3/ebook). Studies in Fuzziness and Soft Computing 249, 85-98 (2010).
Summary: Fuzzy number approximation by trapezoidal fuzzy numbers which preserves the expected interval is discussed. New algorithms for calculating the proper approximations are proposed. It is shown that the adequate approximation operator is chosen with respect to both the global spread of a fuzzy number and the size of possible asymmetry between the spread of the left-hand and right-hand part of a fuzzy number.
For the entire collection see [Zbl 1183.68006].

MSC:

03E72 Theory of fuzzy sets, etc.
68W25 Approximation algorithms
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