Skip to Main content Skip to Navigation
Journal articles

Practical inference with systems of gradual implicative rules

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.
Document type :
Journal articles
Complete list of metadata

Cited literature [33 references]  Display  Hide  Download
Contributor : Alain Rapaport <>
Submitted on : Friday, May 15, 2020 - 9:34:51 PM
Last modification on : Tuesday, January 26, 2021 - 4:14:02 PM


Files produced by the author(s)



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⟩



Record views


Files downloads