Multiresolution Fuzzy Rule Systems
This paper describes the modelling of fuzzy rule systems using a multiresolution strategy that handles the problem of granularization of the input space by using multiresolution linguistic terms. Models of different resolutions are chained by antecedents because linguistic terms of a level j are obtained by refinements of linguistic terms of a superior level j + 1. The models can also be chained by consequents using aggregation procedures. The family of models are called Multiresolution Fuzzy Rule Systems.
A metasemantics based on linguistic operators is proposed for the interpretation of the refinements as a rule specialization. Interesting models result allowing local refinement of rules that preserve the semantic interpretation.
KeywordsFuzzy Rule Systems Rules Hierarchies Learning Algorithms Multiresolution Analysis
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- 1.L. Valverde B. Bouchon-Meunier and R. Yager (eds.), Hierarchical representation of fuzzy if-then rules, Springer, 1993.Google Scholar
- 4.A. de Soto, Building a hierarchical set of fuzzy rules using wavelet theory, Inter. Conference on Information processing and Management of Uncertainty Knowledge-Based Systems 3 (2000), 1764–1769.Google Scholar
- 5.—, Uniform fuzzy partitions with cardinal splines and wavelts: Getting interpretable linguistic fuzzy models, Inter. Conference on Information processing and Management of Uncertainty Knowledge-Based Systems 3 (2002), 1–20.Google Scholar
- 6.R. Fullr, Introduction to neuro-fuzzy systems, Advances in Soft Computing, Springer-Verlag, 2000.Google Scholar
- 11.C. Moraga, A metasemantics to refine if-then rules, Proc. 34th Int. IEEE Symposium on Multiple-valued Logic (2004).Google Scholar
- 13.—, Cardinal spline interpolation, Soc. for Industr. Appl. Math. (1973).Google Scholar
- 17.R.R. Yager, On the construction of hierarchical fuzzy systems models, IEEE Transactions on Systems, Man and Cybernetics-PARTC:Applications and Reviews 28 (1998), no. 1, 1245–1248.Google Scholar
- 18.L. Zadeh, Outline of a new approach to the analysis of complex system and desision process, IEEE Trans. Systems, Man and Cybernetics 1 (1972), no. 1, 28–44.Google Scholar