Abstract
We use the metric properties of the nearest extended weighted semi-trapezoidal fuzzy number and the Karush-Kuhn-Tucker theorem to compute the weighted semi-trapezoidal approximation of a fuzzy number preserving the weighted ambiguity. The proposed approach is more general than existing methods and it can be applied to other approximations of fuzzy numbers under conditions.
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Ban, A.I., Coroianu, L. (2012). Weighted Semi-trapezoidal Approximation of a Fuzzy Number Preserving the Weighted Ambiguity. In: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (eds) Advances in Computational Intelligence. IPMU 2012. Communications in Computer and Information Science, vol 299. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31718-7_6
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DOI: https://doi.org/10.1007/978-3-642-31718-7_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-31717-0
Online ISBN: 978-3-642-31718-7
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