Using the Choquet Integral in the Fuzzy Reasoning Method of Fuzzy Rule-Based Classification Systems
Open Access
- 22 April 2013
- Vol. 2 (2), 208-223
- https://doi.org/10.3390/axioms2020208
Abstract
In this paper we present a new fuzzy reasoning method in which the Choquet integral is used as aggregation function. In this manner, we can take into account the interaction among the rules of the system. For this reason, we consider several fuzzy measures, since it is a key point on the subsequent success of the Choquet integral, and we apply the new method with the same fuzzy measure for all the classes. However, the relationship among the set of rules of each class can be different and therefore the best fuzzy measure can change depending on the class. Consequently, we propose a learning method by means of a genetic algorithm in which the most suitable fuzzy measure for each class is computed. From the obtained results it is shown that our new proposal allows the performance of the classical fuzzy reasoning methods of the winning rule and additive combination to be enhanced whenever the fuzzy measure is appropriate for the tackled problem.Keywords
This publication has 24 references indexed in Scilit:
- Discrete Integrals and Axiomatically Defined FunctionalsAxioms, 2012
- A Fuzzy Rule-Based Approach for Islanding Detection in Distributed GenerationIEEE Transactions on Power Delivery, 2010
- Advanced nonparametric tests for multiple comparisons in the design of experiments in computational intelligence and data mining: Experimental analysis of powerInformation Sciences, 2010
- KEEL: a software tool to assess evolutionary algorithms for data mining problemsSoft Computing, 2008
- ON THE EQUIVALENCE BETWEEN FUZZY AND STATISTICAL CLASSIFIERSInternational Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 1996
- Approximate reasoning approach to pattern recognitionFuzzy Sets and Systems, 1996
- Distributed representation of fuzzy rules and its application to pattern classificationFuzzy Sets and Systems, 1992
- Genetic AlgorithmsScientific American, 1992
- Formulation of a multivalued recognition systemIEEE Transactions on Systems, Man, and Cybernetics, 1992
- Theory of capacitiesAnnales de l'institut Fourier, 1954