Ranking fuzzy numbers using alpha-weighted valuations

Marcin Detyniecki 1 Ronald R. Yager
1 APA - Apprentissage et Acquisition des connaissances
LIP6 - Laboratoire d'Informatique de Paris 6
Abstract : We studied here on some simple examples the interaction between valuation family, parameters and ranking result. The ranking method studied is based upon the idea of associating with a fuzzy number a scalar value, its valuation, and using this valuation to compare and order fuzzy numbers. The valuation method considered was introduced initially by the Yager and Filev. This valuation consists in the integration over α-levels, of the average of each α-cut weighted by a weight distribution function. We finish by introducing a new weight distribution function.
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Marcin Detyniecki, Ronald R. Yager. Ranking fuzzy numbers using alpha-weighted valuations. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, World Scientific Publishing, 2000, 8 (5), pp.573-591. ⟨10.1142/S021848850000040X⟩. ⟨hal-01184361⟩



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