Title
Context adaptation of fuzzy systems through a multi-objective evolutionary approach based on a novel interpretability index
Abstract
Context adaptation (CA) based on evolutionary algorithms is certainly a promising approach to the development of fuzzy rule-based systems (FRBSs). In CA, a context-free model is instantiated to a context-adapted FRBS so as to increase accuracy. A typical requirement in CA is that the context-adapted system maintains the same interpretability as the context-free model, a challenging constraint given that accuracy and interpretability are often conflicting objectives. Furthermore, interpretability is difficult to quantify because of its very nature of being a qualitative concept. In this paper, we first introduce a novel index based on fuzzy ordering relations in order to provide a measure of interpretability. Then, we use the proposed index and the mean square error as goals of a multi-objective evolutionary algorithm aimed at generating a set of Pareto-optimum context-adapted Mamdani-type FRBSs with different trade-offs between accuracy and interpretability. CA is obtained through the use of specifically designed operators that adjust the universe of the input and output variables, and modify the core, the support and the shape of fuzzy sets characterizing the partitions of these universes. Finally, we show results obtained by using our approach on synthetic and real data sets.
Year
DOI
Venue
2009
10.1007/s00500-008-0360-6
Soft Comput.
Keywords
Field
DocType
context-adapted system,fuzzy set,fuzzy system,multi-objective evolutionary approach,pareto-optimum context-adapted mamdani-type frbss,multi-objective evolutionary algorithm,evolutionary algorithm,promising approach,context adaptation,fuzzy rule-based system,novel interpretability index,context-free model,novel index,context-adapted frbs,fuzzy rule-based systemscontext adaptationmulti-objective evolutionary algorithms � fuzzy partition interpretability,indexation,mean square error,adaptive system
Data mining,Interpretability,Neuro-fuzzy,Fuzzy classification,Defuzzification,Computer science,Fuzzy set operations,Fuzzy set,Artificial intelligence,Fuzzy number,Machine learning,Fuzzy rule
Journal
Volume
Issue
ISSN
13
5
1433-7479
Citations 
PageRank 
References 
65
1.48
18
Authors
4
Name
Order
Citations
PageRank
Alessio Botta161240.78
Beatrice Lazzerini271545.56
Francesco Marcelloni3140491.43
Dan C. Stefanescu424821.03