We propose an algorithm for inferring membership functions of fuzzy sets by exploiting a procedure originated in the realm of support vector clustering. The input to this procedure consists of points associated with a quantitative evaluation of their membership degree to a fuzzy set. Data are clustered in order to extract a "core" gathering all points definitely belonging to the set. This core is subsequently refined incorporating expert knowledge in the form of predefined shapes for the membership function. The method is extended in order to simultaneously learn several fuzzy sets defined over a universe of discourse, without requiring as previous knowledge either their number or approximated membership values. The procedure is successfully tested on a benchmark and specialized in order to tackle the problem of inferring shadowed sets.
BIO: Dario Malchiodi (PhD in Computational Mathematics and Operations Research, Master in Computer Science) is an associate professor at the Milan University since 2011. Previously, he worked as assistant professor at the same institution, as software architect at Inferentia-DNM, as statistical analyst at The Continiuity Company S.r.l. and as software developer at Olivetti S.p.A. His research activities are focused on the treatment of uncertainty in machine learning problems, with particular emphasis to data quality aspects in machine learning, development of inferential models, design of hybrid learning systems and applications of systems for scientific computation. He published five books and about ninety papers in international journals and conference proceedings. He participated in the activities of around ten research projects groups at national and international level. He currently teaches "Statistics and data analysis", "Big scale analytics" and "Informatics didactics". He has been involved in several activities focused on the popularization of computer science, including the development of teaching methodologies for primary and secondary education, the training of secondary school teachers and a radio broadcast on informatics culture.
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