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Inférence min-max pour un système à base de règles possibilistes

Abstract : In this paper, we give a canonical construction for the matrices governing the min-max equation system of Farreny and Prade, which is associated to a rule-based system composed of n parallel possibilistic rules. From this construction and with the help of a partition of the output attribute domain, we establish an additive formula for the output possibility distribution and deduce the corresponding possibility and necessity measures. We give necessary and sufficient conditions for the normalization of the output possibility distribution. In addition, we tackle the case of a cascade and establish for it an input-output relation between the two min-max equation systems. Finally,we represent this cascade construction by a min-max neural network.
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https://hal-cea.archives-ouvertes.fr/cea-03402616
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Submitted on : Monday, October 25, 2021 - 5:00:06 PM
Last modification on : Tuesday, November 16, 2021 - 4:29:47 AM

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  • HAL Id : cea-03402616, version 1

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Ismaïl Baaj, Jean-Philippe Poli, Wassila Ouerdane, Nicolas Maudet. Inférence min-max pour un système à base de règles possibilistes. Rencontres francophones sur la logique floue et ses applications, Université de la Sorbonne, Oct 2021, Paris, France. pp.233-240. ⟨cea-03402616⟩

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