A principled approach to fuzzy rule base interpolation using similarity relations

  title={A principled approach to fuzzy rule base interpolation using similarity relations},
  author={Bernadette Bouchon-Meunier and Francesc Esteva and Lluis Godo and Maria Rifqi and Sandra A. Sandri},
  booktitle={EUSFLAT Conf.},
In this work we consider a very general principle for fuzzy rule interpolation methods based on an interpretation of the generalized modus ponens rule in terms of closeness relations. Then we present two particular instances of the general principle when the closeness relations are defined from parametric families of similarity fuzzy relations on the input and output spaces. The case of multiple input variables is also considered. 
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A similarity-based approach to deal with inconsistency in systems of fuzzy gradual rules

L. Godo, S. Sandri
In Proc. of IPMU’02, Annecy (France), • 2002

Dealing with covering problems in fuzzy rule systems by similarity-based extrapolation

L. Godo, S. Sandri
In Proc. of Fuzz-IEEE’02, Honolulu (USA), • 2002

A comparative view of interpolation methods between sparse fuzzy rules

B. Bouchon-Meunier, D. Dubois, C. Marsala, H. Prade, L. Ughetto
In Proc. of the IFSA01 World Congress, Vancouver, Canada, • 2001
View 1 Excerpt

In - terpolative Reasoning based on graduality Proc

B Bouchon-Meunier, C. Marsala, M Rifqi
FUZZ - IEEE ’ • 2000

Interpolative Reasoning based on graduality

B Bouchon-Meunier, C. Marsala, M. Rifqi
Proc. FUZZ-IEEE’2000 • 2000
View 3 Excerpts

Investigation of a new α-cut based fuzzy interpolation method

P. Baranyi, D. Tikk, Y. Yam, L. T. Kóczy
Technical Report CUHK-MAE-99- • 1999

Extensionality based approximate reasoning

Int. J. Approx. Reasoning • 1998
View 1 Excerpt

De - tyniecki , M . : Similaritybased fuzzy interpolation method in Proc

F. Esteva, B. Bouchon-Meunier, M. Rifqi
IEEE Trans . on Fuzzy Systems • 1997