Practical inference with systems of gradual implicative rules

Hazaël Jones 1, 2 Brigitte Charnomordic 1 Didier Dubois 3 Serge Guillaume 2
1 ASB - Analyse des Systèmes et Biométrie
2 UMR ITAP - Information – Technologies – Analyse Environnementale – Procédés Agricoles
3 MISTEA - Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie
Abstract : A general approach to practical inference with gradual implicative rules and fuzzy inputs is presented. Gradual rules represent constraints restricting outputs of a fuzzy system for each input. They are tailored for interpolative reasoning. Our approach to inference relies on the use of inferential independence. It is based on fuzzy output computation under an interval-valued input. A double decomposition of fuzzy inputs is done in terms of a-cuts and in terms of a partitioning of these cuts according to areas where only a few rules apply. The case of 1-D and 2-D inputs is considered, as well as higher dimensional cases. An application to H cheese-making process illustrates the approach.
Keywords : FUZZY INPUTS FUZZY RULES GRADUAL IMPLICATIVE RULES INFERENCE METHOD INPUT DECOMPOSITION INTELLIGENCE ARTIFICIELLE GENIE DES PROCEDES REGLE FLOUE METHODE D'INFERENCE
Type de document :
Article dans une revue
IEEE Transactions on Fuzzy Systems, Institute of Electrical and Electronics Engineers, 2009, 17 (1), pp.61-78. 〈10.1109/tfuzz.2008.2007851〉
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https://hal.inria.fr/hal-00858551
Contributeur : Alain Rapaport <>
Soumis le : jeudi 5 septembre 2013 - 15:38:22
Dernière modification le : mercredi 27 septembre 2017 - 16:56:01

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Hazaël Jones, Brigitte Charnomordic, Didier Dubois, Serge Guillaume. Practical inference with systems of gradual implicative rules. IEEE Transactions on Fuzzy Systems, Institute of Electrical and Electronics Engineers, 2009, 17 (1), pp.61-78. 〈10.1109/tfuzz.2008.2007851〉. 〈hal-00858551〉

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