We extend a procedure based on support vector clustering and devoted to inferring the membership function of a fuzzy set to the case of a universe of discourse over which several fuzzy sets are defined. The extended approach learns simultaneously these sets without requiring as previous knowledge either their number or labels approximating membership values. This data-driven approach is completed via expert knowledge incorporation in the form of predefined shapes for the membership functions. The procedure is successfully tested on a benchmark.
Simultaneous Learning of Fuzzy Sets / L. Cermenati, D. Malchiodi, A.M. Zanaboni (SMART INNOVATION, SYSTEMS AND TECHNOLOGIES). - In: Neural Approaches to Dynamics of Signal Exchanges / [a cura di] A. Esposito, M. Faundez-Zanuy, F. Morabito, E. Pasero. - Singapore : Springer, 2020. - ISBN 9789811389498. - pp. 167-175 (( convegno Italian Workshop on Neural Networks tenutosi a Vietri sul Mare nel 2018 [10.1007/978-981-13-8950-4_16].
Simultaneous Learning of Fuzzy Sets
D. Malchiodi
;A.M. Zanaboni
2020
Abstract
We extend a procedure based on support vector clustering and devoted to inferring the membership function of a fuzzy set to the case of a universe of discourse over which several fuzzy sets are defined. The extended approach learns simultaneously these sets without requiring as previous knowledge either their number or labels approximating membership values. This data-driven approach is completed via expert knowledge incorporation in the form of predefined shapes for the membership functions. The procedure is successfully tested on a benchmark.
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