B2128 - STATISTICAL MODELS FOR (FUZZY) SET-VALUED DATA

Conoscenze e abilità da conseguire

By the end of the course the student learns the advanced methods and the operational tools for the analysis of (fuzzy) set-valued data. The student is able to face the theoretical problems of analysing statistical properties within these kind of data and their application to social sciences

Contenuti

The Concept of Fuzziness

Interval data: structures and statistics

Generalizations of interval data

Fuzzy Sets valued data

Fuzzy sets algebra

Mathematical modeling

Fuzzy clustering

F-Transform

 

Testi/Bibliografia

Vilém Novák, Irina Perfilieva, Insight into Fuzzy Modeling, 2016 John Wiley & Sons.

Renato Coppi, Maria A. Gil, Henk A.L. Kiersc, The fuzzy approach to statistical analysis, Computational Statistics & Data Analysis 51 (2006) 1–14

Metodi didattici

After 10 hours of frontal lectures, the method changes in flipped classroom and students are invited to collaborate in team and present the analysis of a statistical application to real world data or phenomenon.   

Modalità di verifica e valutazione dell'apprendimento

The exam is based on the discussion of a scientific paper agreed with the teacher where an application is explained.

Strumenti a supporto della didattica

Several packages for fuzzy calculus are available in R and MatLab libraries.

Orario di ricevimento

Consulta il sito web di Maria Letizia Guerra